Andrei Piatnitski
Andrei Piatnitski,
Vladimir Sloushch,
Tatiana Suslina,
Elena Zhizhina
:
On operator estimates in homogenization of nonlocal operators of convolution type
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
Andrei Piatnitski,
Alexey Shamaev,
Elena Zhizhina
:
Mathematical multi-scale model of water purification
Andro Mikelić,
Andrei Piatnitski
:
Homogenization of the linearized ionic transport equations in random porous media
Nonlinearity 2023 DOI
D.I. Borisov,
Andrei Piatnitski,
E.A. Zhizhina
:
Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure
Mathematics 2023 DOI
Andrei Piatnitski,
Elena Zhizhina
:
Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media∗
Markov Processes and Related Fields 2023 DOI
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
D.I. Borisov,
Andrei Piatnitski,
E.A. Zhizhina
:
On the spectrum of convolution operator with a potential
Andrei Piatnitski,
Sergei Pirogov,
Elena Zhizhina
:
Large deviations for Markov jump processes in periodic and locally periodic environments
Roberto Alicandro,
Andrea Braides,
Marco Cicalese,
Lucia De Luca,
Andrey Piatnitski
:
Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches
Andrea Braides,
Andrey Piatnitski
:
Homogenization of random convolution energies
Journal of the London Mathematical Society 2021 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
Yuri Kondratiev,
Andrey Piatnitski,
Elena Zhizhina
:
Asymptotics of fundamental solutions for time fractional equations with convolution kernels
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
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
Andrey Piatnitski,
Volodymyr Rybalko
:
Singularly perturbed spectral problems in a thin cylinder with fourier conditions on its bases
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of biased convolution type operators
Moritz Kassmann,
Andrey Piatnitski,
Elena Zhizhina
:
Homogenization of Levy-type operators with oscillating coefficients
Andrea Braides,
Andrea Causin,
Andrey Piatnitski,
Margherita Solci
:
Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime
Brahim Amaziane,
Murat Jurak,
Leonid Pankratov,
Andrey Piatnitski
:
Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media
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
Alexander Grigor'yan,
Yuri Kondratiev,
Andrey Piatnitski,
Elena Zhizhina
:
Pointwise estimates for heat kernels of convolution-type operators
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
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
:
Scaling limit of symmetric random walk in high-contrast periodic environment
Journal of statistical physics 2017 DOI
Andrey Piatnitski,
Elena Zhizhina
:
Periodic homogenization of nonlocal operators with a convolution-type kernel
Andrey Piatnitski,
Mariya Ptashnyk
:
Homogenization of biomechanical models for plant tissues
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
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
Alexei Heintz,
Andrey Piatnitski
:
Osmosis for non-electrolyte solvents in permeable periodic porous media
Andrey Piatnitski,
Vasily Zhikov
:
Homogenization of random Navier–Stokes-type system for electrorheological fluid
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
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
Andrey Piatnitski,
V Rybalko
:
On the first eigenpair of singularly perturbed operators with oscillating coefficients
Communications in Partial Differential Equations 2015 DOI
Andrea Braides,
Valeria Chiado Piat,
Andrey Piatnitski
:
Homogenization of discrete high-contrast energies
SIAM journal on computing (Print) 2015 DOI
Rita Ferreira,
M. Luisa Mascarenhas,
Andrey Piatnitski
:
Spectral analysis in thin tubes with axial heterogeneities
Portugaliae Mathematica 2015 DOI
Andrey Piatnitski,
A Rybalko,
V Rybalko
:
Singularly perturbed spectral problems with Neumann boundary conditions
M. Kleptsyna,
Andrei Piatnitski,
A. Popier
:
Homogenization of random parabolic operators. Diffusion approximation
Stochastic Processes and their Applications 2015 DOI
Brahim Amaziane,
Leonid Pankratov,
Andrey Piatnitski
:
Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures
Mathematical Models and Methods in Applied Sciences 2014 DOI
GA Chechkin,
C D'Apice,
U De Maio,
Andrey Piatnitski
:
On the rate of convergence of solutions in domain with random multilevel oscillating boundary
Asymptotic Analysis 2014 DOI
G Allaire,
Robert Brizzi,
J-F Dufreche,
A Mikelic,
Andrey Piatnitski
:
Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling
Physica D : Non-linear phenomena 2014 DOI
Grégoire Allaire,
Brahim Amaziane,
Robert Gilbert,
Willy Jäger,
Andrei Piatnitski,
Bogdan Vernescu
:
Introduction to the Andro Mikelic memorial volume
Applicable Analysis 2022 DOI
Denis Borisov,
Andrei Piatnitski,
Elena Zhizhina
:
Spectrum of a convolution operator with potential
Russian Mathematical Surveys 2022 DOI
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