Andrei Piatnitski
Andrei Piatnitski,
Elena Zhizhina
:
Homogenization of convolution type semigroups in high contrast media
Analysis and Mathematical Physics 2025
Marina Kleptsyna,
Andrei Piatnitski,
Alexandre Popier
:
Higher order homogenization for random non-autonomous parabolic operators
Stochastics and Partial Differential Equations: Analysis and Computations 12. februar 2024
Andrei Piatnitski,
V. Sloushch,
T. Suslina,
Elena Zhizhina
:
On the Homogenization of Nonlocal Convolution Type Operators
Russian journal of mathematical physics 19. mars 2024
Guan Huang,
Sergei Kuksin,
Andrei Piatnitski
:
Averaging for stochastic perturbations of integrable systems
Journal of Dynamics and Differential Equations 2024 / /
Andrei Piatnitski,
Volodymyr Rybalko
:
Homogenization of nonlocal spectral problems
Zeitschrift für Angewandte Mathematik und Physik 2024 /
D.I. Borisov,
Andrei Piatnitski,
Elena Zhizhina
:
Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure
Mathematics 2023 /
Andro Mikelić,
Andrei Piatnitski
:
Homogenization of the linearized ionic transport equations in random porous media
Nonlinearity 2023 /
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
Andrei Piatnitski,
Vladimir Sloushch,
Tatiana Suslina,
Elena Zhizhina
:
On operator estimates in homogenization of nonlocal operators of convolution type
Journal of Differential Equations 2023 /
Andrei Piatnitski,
Alexey Shamaev,
Elena Zhizhina
:
Mathematical multi-scale model of water purification
Mathematical Methods in the Applied Sciences 30. november 2023 /
Andrei Piatnitski,
Elena Zhizhina
:
Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media∗
Markov Processes and Related Fields 2023 /
Andrei Piatnitski,
Sergei Pirogov,
Elena Zhizhina
:
Large deviations for Markov jump processes in periodic and locally periodic environments
The Annals of Applied Probability 2022 /
Marina Kleptsyna,
Andrei Piatnitski,
Alexandre Popier
:
Asymptotic decomposition of solutions to parabolic equations with a random microstructure
Pure and Applied Functional Analysis 2022
Andrea Braides,
Andrei Piatnitski
:
Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
Archive for Rational Mechanics and Analysis 2022 /
D.I. Borisov,
Andrei Piatnitski,
E.A. Zhizhina
:
On the spectrum of convolution operator with a potential
Journal of Mathematical Analysis and Applications 2022 /
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
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 /
Andrea Braides,
Andrey Piatnitski
:
Homogenization of random convolution energies
Journal of the London Mathematical Society 2021
Brahim Amaziane,
L. Pankratov,
Andrei Piatnitski
:
Homogenization of immiscible compressible two–phase flow in random porous media
Journal of Differential Equations 2021
Andrey Piatnitski,
Mariya Ptashnyk
:
Homogenization of biomechanical models of plant tissues with randomly distributed cells
Nonlinearity 2020 /
Yuri Kondratiev,
Andrey Piatnitski,
Elena Zhizhina
:
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
Fractional Calculus and Applied Analysis 2020 /
Andrea Braides,
Andrey Piatnitski
:
Homogenization of quadratic convolution energies in periodically perforated domains
Advances in Calculus of Variations 2020
Andrey Piatnitski,
S Pirogov,
E Zhizhina
:
Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
Applicable Analysis 2019 / /
Moritz Kassmann,
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of Levy-type operators with oscillating coefficients
SIAM Journal on Mathematical Analysis 2019 / /
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of biased convolution type operators
Asymptotic Analysis 2019 / /
Andrey Piatnitski,
Elena Zhizhina
:
Stochastic homogenization of convolution type operators
Journal des Mathématiques Pures et Appliquées 2019 /
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 /
P Mathieu,
Andrey Piatnitski
:
Steady States, Fluctuation?Dissipation Theorems and Homogenization for Reversible Diffusions in a Random Environment
Archive for Rational Mechanics and Analysis 2018 / /
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 /
Yuri Kondratiev,
Stanislav Molchanov,
Andrey Piatnitski,
Elena Zhizhina
:
Resolvent bounds for jump generators
Applicable Analysis 2018 /
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 /
Brahim Amaziane,
Murat Jurak,
Leonid Pankratov,
Andrey Piatnitski
:
Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media
Nonlinear Analysis: Real world applications 2018 / /
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
Irina Pettersson,
Andrey Piatnitski
:
Stationary convection-diffusion equation in an infinite cylinder
Journal of Differential Equations 2017 /
Andrey Piatnitski,
Elena Zhizhina
:
Periodic homogenization of nonlocal operators with a convolution-type kernel
SIAM Journal on Mathematical Analysis 2017 /
Andrey Piatnitski,
Elena Zhizhina
:
Scaling limit of symmetric random walk in high-contrast periodic environment
Journal of statistical physics 2017
Andrey Piatnitski,
Mariya Ptashnyk
:
Homogenization of biomechanical models for plant tissues
Multiscale Modeling & simulation 2017 /
Brahim Amaziane,
Leonid Pankratov,
Andrey Piatnitski
:
An improved homogenization result for immiscible compressible two-phase flow in porous media
Networks and Heterogeneous Media 2017
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
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
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
Alexei Heintz,
Andrey Piatnitski
:
Osmosis for non-electrolyte solvents in permeable periodic porous media
Networks and Heterogeneous Media 2016 /
Andrey Piatnitski,
Vasily Zhikov
:
Homogenization of random Navier–Stokes-type system for electrorheological fluid
Journal of Differential Equations 2016 /
Rustem R. Gadyl'shin,
Andrey Piatnitski,
Gregory Chechkin
:
Spectral problem with Steklov condition on a thin perforated interface
Doklady. Mathematics 2016
Youcef Amirat,
Olivier Bodart,
Gregory Chechkin,
Andrey Piatnitski
:
Asymptotics of a spectral-sieve problem
Journal of Mathematical Analysis and Applications 2016 /
M. Kleptsyna,
Andrei Piatnitski,
A. Popier
:
Homogenization of random parabolic operators. Diffusion approximation
Stochastic Processes and their Applications 2015
Rita Ferreira,
M. Luisa Mascarenhas,
Andrey Piatnitski
:
Spectral analysis in thin tubes with axial heterogeneities
Portugaliae Mathematica 2015
Andrei Piatnitski,
Elena Zhizhina
:
Remembering Nikita: Life Devoted to Friendship. Section 4.
Markov Processes and Related Fields 2023
Denis Borisov,
Andrei Piatnitski,
Elena Zhizhina
:
Spectrum of a convolution operator with potential
Russian Mathematical Surveys 2022
Grégoire Allaire,
Brahim Amaziane,
Robert Gilbert,
Willy Jäger,
Andrei Piatnitski,
Bogdan Vernescu
:
Introduction to the Andro Mikelic memorial volume
Applicable Analysis 2022