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Institutt for datateknologi og beregningsorienterte ingeniørfag andrey.piatnitski@uit.no 76966127 Narvik NARVIK_BL-D D3490

Piatnitski, Andrey


Arbeidstittel

Professor

Stillingsbeskrivelse


  • Braides, Andrea; Piatnitski, Andrey. Homogenization of random convolution energies. Journal of the London Mathematical Society 2021; Volum 2. ISSN 0024-6107.s 1 - 25.s doi: 10.1112/jlms.12431.
  • Kondratiev, Yuri; Piatnitski, Andrey; Zhizhina, Elena. Asymptotics of fundamental solutions for time fractional equations with convolution kernels. Fractional Calculus and Applied Analysis 2020; Volum 23 (4). ISSN 1311-0454.s 1161 - 1187.s doi: 10.1515/fca-2020-0059.
  • Piatnitski, Andrey; Ptashnyk, Mariya. Homogenization of biomechanical models of plant tissues with randomly distributed cells. Nonlinearity 2020; Volum 33. ISSN 0951-7715.s doi: 10.1088/1361-6544/ab95ab.
  • Braides, Andrea; Piatnitski, Andrey. Homogenization of quadratic convolution energies in periodically perforated domains. Advances in Calculus of Variations 2020. ISSN 1864-8258.s doi: 10.1515/acv-2019-0083.
  • Piatnitski, Andrey; Pirogov, S; Zhizhina, E. Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups. (fulltekst) Applicable Analysis 2019; Volum 98 (1-2). ISSN 0003-6811.s 217 - 231.s doi: 10.1080/00036811.2018.1471209.
  • Piatnitski, Andrey; Zhizhina, Elena. Stochastic homogenization of convolution type operators. (data) Journal des Mathématiques Pures et Appliquées 2019. ISSN 0021-7824.s 1 - 36.s doi: 10.1016/j.matpur.2019.12.001.
  • Piatnitski, Andrey; Zhizhina, Elena. Homogenization of biased convolution type operators. (omtale) Asymptotic Analysis 2019; Volum 115 (3-4). ISSN 0921-7134.s 241 - 262.s doi: 10.3233/ASY-191533.
  • Kassmann, Moritz; Piatnitski, Andrey; Zhizhina, Elena. Homogenization of Levy-type operators with oscillating coefficients. (omtale) SIAM Journal on Mathematical Analysis 2019; Volum 51 (5). ISSN 0036-1410.s 3641 - 3665.s doi: 10.1137/18M1200038.
  • Piatnitski, Andrey; Rybalko, Volodymyr. Singularly perturbed spectral problems in a thin cylinder with fourier conditions on its bases. Journal of Mathematical Physics, Analysis, Geometry 2019; Volum 15 (2). ISSN 1812-9471.s 256 - 277.s doi: 10.15407/mag15.02.256.
  • Braides, Andrea; Causin, Andrea; Piatnitski, Andrey; Solci, Margherita. Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime. Journal of statistical physics 2018; Volum 171 (6). ISSN 0022-4715.s 1096 - 1111.s doi: 10.1007/s10955-018-2051-8.
  • Piatnitski, Andrey; Chechkin, Gregory A.; Gadyl'shin, Rustem R. On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type. Izvestiya: Mathematics 2018; Volum 82 (6). ISSN 1064-5632.s 1108 - 1135.s doi: 10.1070/IM8674.
  • Mathieu, P; Piatnitski, Andrey. Steady States, Fluctuation?Dissipation Theorems and Homogenization for Reversible Diffusions in a Random Environment. (fulltekst) Archive for Rational Mechanics and Analysis 2018; Volum 230 (1). ISSN 0003-9527.s 277 - 320.s doi: 10.1007/s00205-018-1245-1.
  • Kondratiev, Yuri; Molchanov, Stanislav; Piatnitski, Andrey; Zhizhina, Elena. Resolvent bounds for jump generators. Applicable Analysis 2018; Volum 97 (3). ISSN 0003-6811.s 323 - 336.s doi: 10.1080/00036811.2016.1263838.
  • Grigor'yan, Alexander; Kondratiev, Yuri; Piatnitski, Andrey; Zhizhina, Elena. Pointwise estimates for heat kernels of convolution-type operators. Proceedings of the London Mathematical Society 2018; Volum 117 (4). ISSN 0024-6115.s 849 - 880.s doi: 10.1112/plms.12144.
  • Amaziane, Brahim; Jurak, Murat; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media. (fulltekst) Nonlinear Analysis: Real world applications 2018; Volum 43. ISSN 1468-1218.s 192 - 212.s doi: 10.1016/j.nonrwa.2018.02.012.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. An improved homogenization result for immiscible compressible two-phase flow in porous media. Networks and Heterogeneous Media 2017; Volum 12 (1). ISSN 1556-1801.s 147 - 171.s doi: 10.3934/nhm.2017006.
  • Amaziane, Brahim; Jurac, Mladen; Pankratov, Leonid; Piatnitski, Andrey. An existence result for nonisothermal immiscible incompressible 2-phase flow in heterogeneous porous media. Mathematical methods in the applied sciences 2017; Volum 40. ISSN 0170-4214.s 7510 - 7539.s doi: 10.1002/mma.4544.
  • Allaire, Grégoire; Piatnitski, Andrey. On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder. Revista matemática iberoamericana 2017; Volum 33 (4). ISSN 0213-2230.s 1123 - 1148.s doi: 10.4171/rmi/965.
  • Pettersson, Irina; Piatnitski, Andrey. Stationary convection-diffusion equation in an infinite cylinder. Journal of Differential Equations 2017; Volum 264 (7). ISSN 0022-0396.s 4456 - 4487.s doi: 10.1016/j.jde.2017.12.015.
  • Piatnitski, Andrey; Ptashnyk, Mariya. Homogenization of biomechanical models for plant tissues. Multiscale Modeling & simulation 2017; Volum 15 (1). ISSN 1540-3459.s 339 - 387.s doi: 10.1137/15M1046198.
  • Piatnitski, Andrey; Zhizhina, Elena. Scaling limit of symmetric random walk in high-contrast periodic environment. Journal of statistical physics 2017; Volum 169 (3). ISSN 0022-4715.s 595 - 613.s doi: 10.1007/s10955-017-1883-y.
  • Piatnitski, Andrey; Zhizhina, Elena. Periodic homogenization of nonlocal operators with a convolution-type kernel. SIAM Journal on Mathematical Analysis 2017; Volum 49 (1). ISSN 0036-1410.s 64 - 81.s doi: 10.1137/16M1072292.
  • Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory; Piatnitski, Andrey. Asymptotics of a spectral-sieve problem. Journal of Mathematical Analysis and Applications 2016; Volum 435 (2). ISSN 0022-247X.s 1652 - 1671.s doi: 10.1016/j.jmaa.2015.11.014.
  • Heintz, Alexei; Piatnitski, Andrey. Osmosis for non-electrolyte solvents in permeable periodic porous media. Networks and Heterogeneous Media 2016; Volum 11 (3). ISSN 1556-1801.s 471 - 499.s doi: 10.3934/nhm.2016005.
  • Piatnitski, Andrey; Zhikov, Vasily. Homogenization of random Navier–Stokes-type system for electrorheological fluid. Journal of Differential Equations 2016; Volum 260 (5). ISSN 0022-0396.s 4110 - 4129.s doi: 10.1016/j.jde.2015.11.003.
  • Gadyl'shin, Rustem R.; Piatnitski, Andrey; Chechkin, Gregory. Spectral problem with Steklov condition on a thin perforated interface. Doklady. Mathematics 2016; Volum 93 (1). ISSN 1064-5624.s 52 - 57.s doi: 10.1134/S1064562416010191.
  • Gaudiello, Antonio; Panasenko, Grigory; Piatnitski, Andrey. Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure. Communications in Contemporary Mathematics 2016; Volum 18 (5). ISSN 0219-1997.s doi: 10.1142/S0219199715500571.
  • Braides, Andrea; Chiado Piat, Valeria; Piatnitski, Andrey. Homogenization of discrete high-contrast energies. SIAM journal on computing (Print) 2015; Volum 47 (4). ISSN 0097-5397.s 3064 - 3091.s doi: 10.1137/140975668.
  • Piatnitski, Andrey; Rybalko, V. On the first eigenpair of singularly perturbed operators with oscillating coefficients. Communications in Partial Differential Equations 2015; Volum 41 (1). ISSN 0360-5302.s 1 - 31.s doi: 10.1080/03605302.2015.1091838.
  • Piatnitski, Andrey; Rybalko, A; Rybalko, V. Singularly perturbed spectral problems with Neumann boundary conditions. Complex Variables and Elliptic Equations 2015; Volum 61 (2). ISSN 1747-6933.s 252 - 274.s doi: 10.1080/17476933.2015.1076396.
  • Ferreira, Rita; Luisa Mascarenhas, M.; Piatnitski, Andrey. Spectral analysis in thin tubes with axial heterogeneities. Portugaliae Mathematica 2015; Volum 72 (2-3). ISSN 0032-5155.s 247 - 266.s doi: 10.4171/PM/1967.
  • Allaire, G; Brizzi, Robert; Dufreche, J-F; Mikelic, A; Piatnitski, Andrey. Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling. Physica D : Non-linear phenomena 2014; Volum 282. ISSN 0167-2789.s 39 - 60.s doi: 10.1016/j.physd.2014.05.007.
  • Piatnitski, Andrey; Rybalko, A; Rybalko, Volodymyr. Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients. E S A I M: Control, Optimisation and Calculus of Variations 2014; Volum 20 (4). ISSN 1292-8119.s 1059 - 1077.s doi: 10.1051/cocv/2014007.
  • Chechkin, GA; D'Apice, C; De Maio, U; Piatnitski, Andrey. On the rate of convergence of solutions in domain with random multilevel oscillating boundary. Asymptotic Analysis 2014; Volum 87 (1-2). ISSN 0921-7134.s 1 - 28.s doi: 10.3233/ASY-131194.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures. Mathematical Models and Methods in Applied Sciences 2014; Volum 24 (7). ISSN 0218-2025.s 1421 - 1451.s doi: 10.1142/S0218202514500055.
  • Allaire, G; Dufreche, JF; Mikelic, A; Piatnitski, Andrey. Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media. Nonlinearity 2013; Volum 26 (3). ISSN 0951-7715.s 881 - 910.s doi: 10.1088/0951-7715/26/3/881.
  • Hairer, Martin; Pardoux, Etienne; Piatnitski, Andrey. Random homogenisation of a highly oscillatory singular potential. Stochastics and Partial Differential Equations: Analysis and Computations 2013; Volum 1 (4). ISSN 2194-0401.s 571 - 605.s doi: 10.1007/s40072-013-0018-y.
  • Piat, VC; Pankratova, Iryna; Piatnitski, Andrey. LOCALIZATION EFFECT FOR A SPECTRAL PROBLEM IN A PERFORATED DOMAIN WITH FOURIER BOUNDARY CONDITIONS. SIAM Journal on Mathematical Analysis 2013; Volum 45 (3). ISSN 0036-1410.s 1302 - 1327.s doi: 10.1137/120868724.
  • Allaire, Grégoire; Brizzi, Robert; Dufrêche, Jean-François; Mikelic, Andro; Piatnitski, Andrey. Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients. Computational Geosciences 2013; Volum 17 (3). ISSN 1420-0597.s 479 - 495.s doi: 10.1007/s10596-013-9342-6.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. The existence of weak solutions to immiscible compressible two-phase flow in porous media: The case of fields with different rock-types. Discrete and continuous dynamical systems. Series B 2013; Volum 18 (5). ISSN 1531-3492.s 1217 - 1251.s doi: 10.3934/dcdsb.2013.18.1217.
  • Braides, Andrea; Piatnitski, Andrey. Homogenization of surface and length energies for spin systems. Journal of Functional Analysis 2013; Volum 264 (6). ISSN 0022-1236.s 1296 - 1328.s doi: 10.1016/j.jfa.2013.01.004.
  • Gantert, Nina; Mathieu, Pierre; Piatnitski, Andrey. Einstein relation for reversible diffusions in a random environment. Communications on Pure and Applied Mathematics 2012; Volum 65 (2). ISSN 0010-3640.s 187 - 228.s doi: 10.1002/cpa.20389.
  • Allaire, G; Pankratova, Iryna; Piatnitski, Andrey. Homogenization of a Nonstationary Convection-Diffusion Equation in a Thin Rod and in a Layer. SeMA Journal 2012 (58). ISSN 1575-9822.s 53 - 95.
  • Braides, Andrea; Piatnitski, Andrey. Variational Problems with Percolation: Dilute Spin Systems at Zero Temperature. Journal of statistical physics 2012; Volum 149 (5). ISSN 0022-4715.s 846 - 864.s doi: 10.1007/s10955-012-0628-1.
  • Chechkin, Gregory; Cioranescu, Doina; Damlamian, Alain; Piatnitski, Andrey. On boundary value problem with singular inhomogeneity concentrated on the boundary. (sammendrag) Journal des Mathématiques Pures et Appliquées 2012; Volum 98 (2). ISSN 0021-7824.s 115 - 138.s doi: 10.1016/j.matpur.2011.11.002.
  • Pardoux, Etienne; Piatnitski, Andrey. HOMOGENIZATION OF A SINGULAR RANDOM ONE-DIMENSIONAL PDE WITH TIME-VARYING COEFFICIENTS. Annals of Probability 2012; Volum 40 (3). ISSN 0091-1798.s 1316 - 1356.s doi: 10.1214/11-AOP650.
  • Piat, Valeria Chiado; Nazarov, Sergey; Piatnitski, Andrey. Steklov problems in perforated domains with a coefficient of indefinite sign. (fulltekst) Networks and Heterogeneous Media 2012; Volum 7 (1). ISSN 1556-1801.s 151 - 178.s doi: 10.3934/nhm.2012.7.151.
  • Allaire, Grégoire; Pankratova, Iryna; Piatnitski, Andrey. Homogenization and concentration for a diffusion equation with large convection in a bounded domain. Journal of Functional Analysis 2012; Volum 262 (1). ISSN 0022-1236.s 300 - 330.s doi: 10.1016/j.jfa.2011.09.014.
  • Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey. Boundary homogenization in domains with randomly oscillating boundary. Stochastic Processes and their Applications 2011; Volum 121 (1). ISSN 0304-4149.s 1 - 23.s doi: 10.1016/j.spa.2010.08.011.
  • Ferreira, Rita; Mascarenhas, M. Luisa; Piatnitski, Andrey. Spectral Analysis in a Thin Domain with Periodically Oscillating Characteristics. E S A I M: Control, Optimisation and Calculus of Variations 2011. ISSN 1292-8119.s doi: 10.1051/cocv/2011100.
  • Piatnitski, Andrey; Rybalko, Volodymyr. Homogenization of boundary value problems for monotone operators in perforated domains with rapidly oscillating boundary conditions of Fourier type. (fulltekst) Journal of Mathematical Sciences 2011; Volum 177 (1). ISSN 1072-3374.s 109 - 140.s doi: 10.1007/s10958-011-0450-3.
  • Cardone, G.; Nazarov, S. A.; Piatnitski, Andrey. On the rate of convergence for perforated plates with a small interior Dirichlet zone. Zeitschrift für Angewandte Mathematik und Physik 2011; Volum 62 (3). ISSN 0044-2275.s 439 - 468.s doi: 10.1007/s00033-010-0100-5.
  • Nazarov, Sergey; Pankratova, Iryna; Piatnitski, Andrey. Homogenization of the Spectral Problem for Periodic Elliptic Operators with Sign-Changing Density Function. Archive for Rational Mechanics and Analysis 2011; Volum 200 (3). ISSN 0003-9527.s 747 - 788.s doi: 10.1007/s00205-010-0370-2.
  • Pankratova, Iryna; Piatnitski, Andrey. Homogenization of spectral problem for locally periodic elliptic operators with sign-changing density function. Journal of Differential Equations 2011; Volum 250 (7). ISSN 0022-0396.s 3088 - 3134.s doi: 10.1016/j.jde.2011.01.022.
  • Pankratova, Iryna; Piatnitski, Andrey. HOMOGENIZATION OF CONVECTION-DIFFUSION EQUATION IN INFINITE CYLINDER. Networks and Heterogeneous Media 2011; Volum 6 (1). ISSN 1556-1801.s 111 - 126.s doi: 10.3934/nhm.2011.6.111.
  • Patrizia, Donato; Piatnitsky, Andrey. ON THE EFFECTIVE INTERFACIAL RESISTANCE THROUGH ROUGH SURFACES. Communications on Pure and Applied Analysis 2010; Volum 9 (5). ISSN 1534-0392.s 1295 - 1310.s doi: 10.3934/cpaa.2010.9.1295.
  • Nazarov, Sergey; Piatnitski, Andrey. Homogenization of the spectral Dirichlet problem for a system of differential equations with rapidly oscillating coefficients and changing sign density. Journal of Mathematical Sciences 2010; Volum 169 (2). ISSN 1072-3374.s 212 - 248.
  • Allaire, Grégoire; Piatnitski, Andrey. Homogenization of nonlinear reaction-diffusion equation with a large reaction term. Annali dell’Università di Ferrara 2010; Volum 56. ISSN 0430-3202.s 141 - 161.s doi: 10.1007/s11565-010-0095z.
  • Bourgeat, Alain; Piatnitski, Andrey. Averaging of a singular random source term in a diffusion convection equation. SIAM Journal on Mathematical Analysis 2010; Volum 42 (6). ISSN 0036-1410.s 2626 - 2651.s doi: 10.1137/080736077.
  • Amaziane, Brahim; Antontsev, S.; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of immiscible compressible two-phase flow in porous media : application to gas migration in a nuclear waste repository. Multiscale Modeling & simulation 2010; Volum 8 (5). ISSN 1540-3459.s 2023 - 2047.s doi: 10.1137/100790215.
  • Piat, Valeria Chiado; Piatnitski, Andrey. _G-CONVERGENCE APPROACH TO VARIATIONAL PROBLEMS IN PERFORATED DOMAINS WITH FOURIER BOUNDARY CONDITIONS. E S A I M: Control, Optimisation and Calculus of Variations 2010; Volum 16. ISSN 1292-8119.s 148 - 175.s doi: 10.1051/cocv:2008073.
  • Allaire, Grégoire; Brizzi, Robert; Mikelic, Andro; Piatnitski, Andrey. Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media. Chemical Engineering Science (CES) 2010. ISSN 0009-2509.s 2292 - 2300.s doi: 10.1016/j.ces.2009.09.010.
  • Allaire, Grégoire; Mikelic, Andro; Piatnitski, Andrey. Homogenization of the linearized ionic transport equations in rigid periodic porous media. Journal of Mathematical Physics 2010; Volum 51 (12). ISSN 0022-2488.s doi: 10.1063/1.3521555.
  • Panasenko, Grigory; Pankratova, Iryna; Piatnitski, Andrey. Homogenization of a convection-diffusion equation in a thin rod structure. Birkhäuser Verlag 2010 ISBN 9780817648992.s 279 - 290.
  • Bourgeat, Alain; Marusic-Paloka, Eduard; Piatnitski, Andrey. Scaling up of an underground nuclear waste repository including a possibly damaged zone. Asymptotic Analysis 2010; Volum 67 (3-4). ISSN 0921-7134.s 147 - 165.s doi: 10.3233/ASY-2009-0975.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of variational functionals with nonstandard growth in perforated domains. Networks and Heterogeneous Media 2010; Volum 5 (2). ISSN 1556-1801.s 189 - 215.s doi: 10.3934/nhm.2010.5.189.
  • Allaire, Grégoire; Mikelic, Andro; Piatnitski, Andrey. Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media. SIAM Journal on Mathematical Analysis 2010; Volum 42 (1). ISSN 0036-1410.s 125 - 144.s doi: 10.1137/090754935.
  • Pankratova, Iryna; Piatnitski, Andrey. ON THE BEHAVIOUR AT INFINITY OF SOLUTIONS TO STATIONARY CONVECTION-DIFFUSION EQUATION IN A CYLINDER. Discrete and continuous dynamical systems. Series B 2009; Volum 11 (4). ISSN 1531-3492.s 935 - 970.s doi: 10.3934/dcdsb.2009.11.935.
  • Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey; Shamaev, Alexei S.. Twisting a thin periodically perforated elastic rod. Applicable Analysis 2009; Volum 88 (10-11). ISSN 0003-6811.s 1563 - 1577.s doi: 10.1080/00036810903042216.
  • Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey; Shamaev, Alexey. SYMMETRY-RELATIONS FOR ELASTICALLY DEFORMED PERIODIC ROD-STRUCTURES. Mathematical Models and Methods in Applied Sciences 2009; Volum 19 (4). ISSN 0218-2025.s 501 - 525.
  • Amaziane, Brahim; Antontsev, S.; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of p-Laplacian in perforated domain. Annales de l'Institut Henri Poincare. Analyse non linéar 2009; Volum 26 (6). ISSN 0294-1449.s 2457 - 2479.s doi: 10.1016/j.anihpc.2009.06.004.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. Nonlinear flow through double porosity media in variable exponent Sobolev spaces. Nonlinear Analysis: Real world applications 2009; Volum 10 (4). ISSN 1468-1218.s 2521 - 2530.s doi: 10.1016/j.nonrwa.2008.05.008.
  • Braides, Andrea; Piatnitski, Andrey. Overall properties of a discrete membrane with randomly distributed defects. Archive for Rational Mechanics and Analysis 2008; Volum 189 (2). ISSN 0003-9527.s 301 - 323.
  • Piat, Valeria Chiado; Piatnitski, Andrey. [Gamma]-convergence approach to variational problems in perforated domains with Fourier boundary conditions. E S A I M: Control, Optimisation and Calculus of Variations 2008. ISSN 1292-8119.s 28 - .
  • Yurinski, V.V.; Piatnitski, Andrey. Near extinction of solution caused by strong absorption on a fine-grained set. World Scientific 2008.s 130 - 147.
  • Kuksin, Sergei B.; Piatnitski, Andrey. Khasminskii-Whitham averaging for randomly perturbed KdV equation. Journal des Mathématiques Pures et Appliquées 2008; Volum 89 (4). ISSN 0021-7824.s 400 - 428.
  • Iftimie, Bogdan; Pardoux, Etienne; Piatnitski, Andrey. Homogenization of a singular random one-dimensional PDE. Annales de l'I.H.P. Probabilites et statistiques 2008; Volum 44 (3). ISSN 0246-0203.s 519 - 543.
  • Mathieu, Pierre; Piatnitski, Andrey. Quenched invariance principles for random walks on percolation clusters. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences 2007; Volum 463. ISSN 1364-5021.s 2287 - 2307.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of a single phase flow through a porous medium in a thin layer. Mathematical Models and Methods in Applied Sciences 2007; Volum 17 (9). ISSN 0218-2025.s 1317 - 1349.
  • Donato, Patrizia; Piatnitski, Andrey. Averaging of nonstationary parabolic operators with large lower order terms. 2006 (Volume 24) ISBN 4762504335.s 153 - 165.
  • Pardoux, Etienne; Piatnitski, Andrey. Homogenization of a singular random one dimensional PDE. 2006 (Volume 24) ISBN 4762504335.s 291 - 303.
  • Amaziane, Brahim; Pankratov, Leonid; Piatnitski, Andrey. Homogenization of quasilinear elliptic equations with non-uniformly bounded coefficients. Nonlinearity 2006; Volum Vol. 19. ISSN 0951-7715.s 2973 - 2987.
  • Piatnitski, Andrey. Homogenization of random nonstationary parabolic operators. Springer 2006 ISBN 9783540365464.s 209 - 232.
  • Zhikov, V.V.; Piatnitski, Andrey. Homogenization of random singular structures and random measures. Izvestiya: Mathematics 2006; Volum 70 (3). ISSN 1064-5632.s 19 - 67.
  • Diop, M.A.; Iftimie, B.; Piatnitski, Andrey. Singular homogenization with stationary in time and periodic in space coefficients. Journal of Functional Analysis 2006; Volum 231. ISSN 0022-1236.s 1 - 46.
  • Allaire, Grégoire; Piatnitski, Andrey. Homogenization of the Schrödinger equation and effective mass theorems. Communications in Mathematical Physics 2005; Volum 258. ISSN 0010-3616.s 1 - 22.
  • Marusic-Paloka, Eduard; Piatnitski, Andrey. Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. Journal of the London Mathematical Society 2005; Volum 72. ISSN 0024-6107.s 391 - 409.
  • Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey. Homogenization and localization with an interface. Indiana University Mathematics Journal 2004; Volum 52 (6). ISSN 0022-2518.s 1413 - 1446.
  • Allaire, Grégoire; Capdeboscq, Yves; Piatnitski, Andrey; Siess, Vincent; Vanninathan, M.. Homogenization of periodic systems with large potentials. Archive for Rational Mechanics and Analysis 2004; Volum 174 (2). ISSN 0003-9527.s 179 - 220.
  • Piatnitski, Andrey; Shamaev, Alexey. On the asymptotic behavior of eigenvalues and eigenfunctions of non-self-adjoint elliptic operators. Journal of Mathematical Sciences 2004; Volum 120(2004) (No. 3). ISSN 1072-3374.s 1411 - 1423.
  • Bourgeat, Alain; Piatnitski, Andrey. Approximations of effective coefficients in stochastic homogenization. Annales de l'I.H.P. Probabilites et statistiques 2004; Volum 40. ISSN 0246-0203.s 153 - 165.
  • Braides, Andrea; Piat, Valeria Chiado; Piatnitski, Andrey. A variational approach to double-porosity problems. Asymptotic Analysis 2004; Volum 39 (no 3/4). ISSN 0921-7134.s 281 - 308.
  • Pardoux, Etienne; Piatnitski, Andrey. Homogenization of a nonlinear random parabolic partial differential equation. Stochastic Processes and their Applications 2003 (104). ISSN 0304-4149.s 1 - 27.
  • Bourgeat, Alain; Mikelic, A.; Piatnitski, Andrey. On the double porosity model of a single phase flow in random media. Asymptotic Analysis 2003; Volum 34. ISSN 0921-7134.s 311 - 332.
  • Bourgeat, Alain; Chechkin, Gregory A.; Piatnitski, Andrey. Singular double porosity model. Applicable Analysis 2003; Volum 82 (2). ISSN 0003-6811.s 103 - 116.
  • Pankratov, Leonid; Piatnitski, Andrey; Rybalko, Volodymyr. Homogenized model of reaction-diffusion in a porous medium Un modèle homogénéisé de réaction-diffusion dans un milieu poreux. Comptes rendus. Mecanique 2003; Volum 331. ISSN 1631-0721.s 253 - 258.
  • Bourgeat, Alain; Jurak, M.; Piatnitski, Andrey. Averaging a transport equation with small diffusion and oscillating velocity. Mathematical methods in the applied sciences 2003; Volum 26. ISSN 0170-4214.s 95 - 117.
  • Cioranescu, Doina; Piatnitski, Andrey. Homogenization in perforated domains with rapidly pulsing perforations. E S A I M: Control, Optimisation and Calculus of Variations 2003; Volum 9. ISSN 1292-8119.s 461 - 483.
  • Kuksin, Sergei; Nadirashvili, Nicholas S.; Piatnitski, Andrey. Hölder estimates for solutions of parabolic SPDES. Theory of Probability and its Applications 2003; Volum 47 (1). ISSN 0040-585X.s 157 - 164.
  • Kleptsyna, Marina; Piatnitski, Andrey. Homogenization of random nonstationary convection-diffusion problem. Russian Mathematical Surveys 2002; Volum 57 (4). ISSN 0036-0279.s 729 - 751.
  • Campillo, Fabien; Piatnitski, Andrey. Effective diffusion in vanishing viscosity. Studies in mathematics and its applications 2002; Volum 31. ISSN 0168-2024.s 133 - 145.
  • Allaire, Grégoire; Piatnitski, Andrey. Uniform spectral asymptotics for singularly perturbed locally periodic operators. Communications in Partial Differential Equations 2002; Volum 27 (4). ISSN 0360-5302.s 705 - 725.
  • Kuksin, Sergei; Piatnitski, Andrey; Shirikyan, Armen. A coupling approach to randomly forced nonlinear PDE's .II. Communications in Mathematical Physics 2002; Volum 230. ISSN 0010-3616.s 81 - 85.
  • Pankratov, Leonid; Piatnitski, Andrey. Nonlinear "double porosity" type model. Comptes rendus. Mathematique 2002; Volum 334. ISSN 1631-073X.s 435 - 440.
  • Chechkin, Gregory A.; Jikov, Vasilii V.; Lukkassen, Dag; Piatnitski, Andrey. On homogenization of networks and junctions. Asymptotic Analysis 2002; Volum 30. ISSN 0921-7134.s 61 - 80.
  • Pardoux, Etienne; Piatnitski, Andrey. Averaging of nonlinear random parabolic operators. 2001.s 268 - 276.
  • Piatnitski, Andrey; Remy, Elisabeth. Homogenization of elliptic difference operators. SIAM Journal on Mathematical Analysis 2001; Volum 31. ISSN 0036-1410.s 53 - 83.
  • Bourgeat, Alain; Piatnitski, Andrey. Estimates in probability of the residual between the random and the homogenized solutions of one-dimensional second-order operator. Asymptotic Analysis 2000; Volum 21. ISSN 0921-7134.s 303 - 315.
  • Chechkin, Gregory; Friedman, Avner; Piatnitski, Andrey L.. The boundary-value problem in domains with very rapidly oscillating boundary. Journal of Mathematical Analysis and Applications 1999; Volum 231. ISSN 0022-247X.s 213 - 234.
  • Chechkin, Gregory; Piatnitski, Andrey L.. Homogenization of boundary-value problem in a locally periodic perforated domain. Applicable Analysis 1999; Volum 71. ISSN 0003-6811.s 215 - 235.
  • Piatnitski, Andrey. Central limit theorem and spectral asymptotics for nonlinear stochastic partial differential equation with weak nonlinearity. 1999.s 407 - 418.
  • Bourgeat, Alain; Mikelic, Andro; Piatnitski, Andrey. Modèle de double porosité aléatoire. ? 1998; Volum 327.s 99 - 104.
  • Piatnitski, Andrey. Asymptotic behaviour of the ground state of singularly perturbed elliptic equations. Communications in Mathematical Physics 1998; Volum 197. ISSN 0010-3616.s 527 - 551.
  • Chechkin, Gregory A.; Piatnitski, Andrey; Shamaev, Alexey. Homogenization : methods and applications. American Mathematical Society (AMS) 2007 (vol. 234) ISBN 9780821838730.
  • Damlamian, Alain; Lukkassen, Dag; Meidell, Annette; Piatnitski, Andrey. Multi scale problems and asymptotic analysis. 2006 (Volume 24) ISBN 4762504335.s 291 - 303.
  • Amirat, Youcef; Bodart, Olivier; Chechkin, Gregory A.; Piatnitski, Andrey. Asymptotic behaviour of solution to boundary-value problem in a domain with randomly oscillating boundary. 2009 (R&D 3/2009). ISSN 1890-923X.
  • Nazarov, Sergey; Pankratova, Iryna; Piatnitski, Andrey. Homogenization of spectral problem for periodic elliptic operators with sign-changing wight function. 2008 (R&D Report No. 4/200). ISSN 1890-923X.
  • Panasenko, Grigory; Pankratova, Iryna; Piatnitski, Andrey. Homogenization of convection-diffusion equation in thin rod structure. 2008 (No. 3/2008). ISSN 1890-923X.
  • Pankratova, Iryna; Piatnitski, Andrey. On the behaviour at infinity of solutions to stationary convection-diffusion equation in a cylinder. 2007 (No. 3/2007). ISSN 1504-4653.
  • Marusic-Paloka, Eduard; Piatnitski, Andrey. Homogenization of nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. (omtale) 2002 (17).
  • Kleptsyna, Marina; Piatnitski, Andrey. Homogenization of random nonstationary convection-diffusion problem. Conference on multiscale problems in science and technology 2002-01-01 - 2002-01-01 2002.
  • Campillo, Fabien; Kleptsyna, Marina; Piatnitski, Andrey. Homogenization of random parabolic operator with large potential in locally periodic media. Applied stochastic models and data analysis 2001-06-01 - 2001-06-02 2001.
  • Kleptsyna, Marina; Piatnitski, Andrey. Averaging of non-selfadjoint parabolic equations with random evolution (dynamics). 2000 (3951).
  • Bourgeat, Alain; Piatnitski, Andrey. Estimates in probability of the residual between the random and the homogenized solutions for a one-dimensional second order operator. 1999 (no. 3).
  • Campillo, Fabien; Piatnitski, Andrey. Effective diffusion in vanishing viscosity. 1999 (No 3813).
  • Belyaev, A.G.; Chechkin, Gregory; Piatnitski, Andrey. Homogenization of a second-order elliptic operator in a perforated domain with oscillating Fourier boundary conditions. 1999.
  • Campillo, Fabien; Kleptsyna, Marina; Piatnitski, Andrey. Homogenization of random parabolic operator with large potential. 7th Vilnius conference on probability theory and mathematical statistics 1998-08-12 - 1998-08-18 1998.
  • Belyaev, Alexandr G.; Chechkin, Gregory; Piatnitski, Andrey. Asymptotic behaviour of the solutions of a boundary value problem in a perforated domain with oscillating boundary. (omtale) 1998.
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