Marina Kleptsyna,
Andrei Piatnitski,
Alexandre Popier
:
Higher order homogenization for random non-autonomous parabolic operators
Stochastics and Partial Differential Equations: Analysis and Computations 2024
DOI
Andrei Piatnitski,
V. Sloushch,
T. Suslina,
Elena Zhizhina
:
On the Homogenization of Nonlocal Convolution Type Operators
Russian journal of mathematical physics 2024
DOI
Andrei Piatnitski,
Elena Zhizhina
:
Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media∗
Markov Processes and Related Fields 2023
ARKIV /
DOI
Andrei Piatnitski,
Vladimir Sloushch,
Tatiana Suslina,
Elena Zhizhina
:
On operator estimates in homogenization of nonlocal operators of convolution type
Journal of Differential Equations 2023
ARKIV /
DOI
Brahim Amaziane,
Andrei Piatnitski,
Elena Zhizhina
:
HOMOGENIZATION OF DIFFUSION IN HIGH CONTRAST RANDOM MEDIA AND RELATED MARKOV SEMIGROUPS
Discrete and continuous dynamical systems. Series B 2023
DOI
Andro Mikelić,
Andrei Piatnitski
:
Homogenization of the linearized ionic transport equations in random porous media
Andrei Piatnitski,
Alexey Shamaev,
Elena Zhizhina
:
Mathematical multi-scale model of water purification
Mathematical Methods in the Applied Sciences 30. november 2023
ARKIV /
DOI
D.I. Borisov,
Andrei Piatnitski,
Elena Zhizhina
:
Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure
D.I. Borisov,
Andrei Piatnitski,
E.A. Zhizhina
:
On the spectrum of convolution operator with a potential
Journal of Mathematical Analysis and Applications 2022
ARKIV /
DOI
Marina Kleptsyna,
Andrei Piatnitski,
Alexandre Popier
:
Asymptotic decomposition of solutions to parabolic equations with a random microstructure
Pure and Applied Functional Analysis 2022
Andrei Piatnitski,
Sergei Pirogov,
Elena Zhizhina
:
Large deviations for Markov jump processes in periodic and locally periodic environments
The Annals of Applied Probability 2022
ARKIV /
DOI
Andrea Braides,
Andrei Piatnitski
:
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
Archive for Rational Mechanics and Analysis 2022
ARKIV /
DOI
Andrea Braides,
Andrey Piatnitski
:
Homogenization of random convolution energies
Journal of the London Mathematical Society 2021
DOI
Roberto Alicandro,
Andrea Braides,
Marco Cicalese,
Lucia De Luca,
Andrey Piatnitski
:
Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches
Archive for Rational Mechanics and Analysis 2021
ARKIV /
DOI
Brahim Amaziane,
M. Jurak,
Leonid Pankratov,
Andrei Piatnitski
:
Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media
Nonlinear Analysis: Real world applications 2021
DOI
Brahim Amaziane,
L. Pankratov,
Andrei Piatnitski
:
Homogenization of immiscible compressible two–phase flow in random porous media
Journal of Differential Equations 2021
DOI
Andrea Braides,
Andrey Piatnitski
:
Homogenization of quadratic convolution energies in periodically perforated domains
Advances in Calculus of Variations 2020
DOI
Andrey Piatnitski,
Mariya Ptashnyk
:
Homogenization of biomechanical models of plant tissues with randomly distributed cells
Yuri Kondratiev,
Andrey Piatnitski,
Elena Zhizhina
:
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
Fractional Calculus and Applied Analysis 2020
ARKIV /
DOI
Andrey Piatnitski,
S Pirogov,
E Zhizhina
:
Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
Andrey Piatnitski,
Elena Zhizhina
:
Stochastic homogenization of convolution type operators
Journal des Mathématiques Pures et Appliquées 2019
DATA /
DOI
Andrey Piatnitski,
Volodymyr Rybalko
:
Singularly perturbed spectral problems in a thin cylinder with fourier conditions on its bases
Journal of Mathematical Physics, Analysis, Geometry 2019
ARKIV /
DOI
Moritz Kassmann,
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of Levy-type operators with oscillating coefficients
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of biased convolution type operators
Alexander Grigor'yan,
Yuri Kondratiev,
Andrey Piatnitski,
Elena Zhizhina
:
Pointwise estimates for heat kernels of convolution-type operators
Proceedings of the London Mathematical Society 2018
ARKIV /
DOI
Brahim Amaziane,
Murat Jurak,
Leonid Pankratov,
Andrey Piatnitski
:
Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media
Andrea Braides,
Andrea Causin,
Andrey Piatnitski,
Margherita Solci
:
Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime
Journal of statistical physics 2018
ARKIV /
DOI
Andrey Piatnitski,
Gregory A. Chechkin,
Rustem R Gadyl'shin
:
On the asymptotic behaviour
of eigenvalues of a boundary-value problem
in a planar domain of Steklov sieve type
Izvestiya: Mathematics 2018
DOI
Yuri Kondratiev,
Stanislav Molchanov,
Andrey Piatnitski,
Elena Zhizhina
:
Resolvent bounds for jump generators
P Mathieu,
Andrey Piatnitski
:
Steady States, Fluctuation?Dissipation Theorems and Homogenization for Reversible Diffusions in a Random Environment
Irina Pettersson,
Andrey Piatnitski
:
Stationary convection-diffusion equation in an infinite cylinder
Journal of Differential Equations 2017
ARKIV /
DOI
Grégoire Allaire,
Andrey Piatnitski
:
On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder
Revista matemática iberoamericana 2017
DOI
Andrey Piatnitski,
Elena Zhizhina
:
Periodic homogenization of nonlocal operators with a convolution-type kernel
SIAM Journal on Mathematical Analysis 2017
ARKIV /
DOI
Andrey Piatnitski,
Elena Zhizhina
:
Scaling limit of symmetric random walk in high-contrast periodic environment
Journal of statistical physics 2017
DOI
Andrey Piatnitski,
Mariya Ptashnyk
:
Homogenization of biomechanical models for plant tissues
Multiscale Modeling & simulation 2017
ARKIV /
DOI
Brahim Amaziane,
Mladen Jurac,
Leonid Pankratov,
Andrey Piatnitski
:
An existence result for nonisothermal immiscible incompressible 2-phase flow in heterogeneous porous media
Mathematical Methods in the Applied Sciences 2017
DOI
Brahim Amaziane,
Leonid Pankratov,
Andrey Piatnitski
:
An improved homogenization result for immiscible compressible two-phase flow in porous media
Networks and Heterogeneous Media 2017
DOI
Antonio Gaudiello,
Grigory Panasenko,
Andrey Piatnitski
:
Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure
Communications in Contemporary Mathematics 2016
DOI
Andrey Piatnitski,
Vasily Zhikov
:
Homogenization of random Navier–Stokes-type system for electrorheological fluid
Journal of Differential Equations 2016
ARKIV /
DOI
Alexei Heintz,
Andrey Piatnitski
:
Osmosis for non-electrolyte solvents in permeable periodic porous media
Networks and Heterogeneous Media 2016
ARKIV /
DOI
Rustem R. Gadyl'shin,
Andrey Piatnitski,
Gregory Chechkin
:
Spectral problem with Steklov condition on a thin perforated interface
Doklady. Mathematics 2016
DOI
Youcef Amirat,
Olivier Bodart,
Gregory Chechkin,
Andrey Piatnitski
:
Asymptotics of a spectral-sieve problem
Journal of Mathematical Analysis and Applications 2016
ARKIV /
DOI
Rita Ferreira,
M. Luisa Mascarenhas,
Andrey Piatnitski
:
Spectral analysis in thin tubes with axial heterogeneities
Portugaliae Mathematica 2015
DOI
Andrea Braides,
Valeria Chiado Piat,
Andrey Piatnitski
:
Homogenization of discrete high-contrast energies
SIAM journal on computing (Print) 2015
DOI
Andrey Piatnitski,
A Rybalko,
V Rybalko
:
Singularly perturbed spectral problems with Neumann boundary conditions
Complex Variables and Elliptic Equations 2015
ARKIV /
DOI
Andrey Piatnitski,
V Rybalko
:
On the first eigenpair of singularly perturbed operators with oscillating coefficients
Communications in Partial Differential Equations 2015
DOI
M. Kleptsyna,
Andrei Piatnitski,
A. Popier
:
Homogenization of random parabolic operators. Diffusion approximation
Stochastic Processes and their Applications 2015
DOI