Andrey Piatnitski

发表

Homogenization of biased convolution type operators

Andrey Piatnitski, Elena Zhizhina, 2019, Asymptot. Anal..

Homogenization of Lévy-type Operators with Oscillating Coefficients

Andrey L. Piatnitski, Moritz Kassmann, Andrey Piatnitski, 2018, SIAM J. Math. Anal..

Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane

Andrey L. Piatnitski, Andrea Braides, Andrey Piatnitski, 2020, Archive for Rational Mechanics and Analysis.

Homogenization of random convolution energies

Andrey L. Piatnitski, Andrea Braides, Andrey Piatnitski, 2021, Journal of the London Mathematical Society.

Homogenization of a diffusion in a high-contrast random environment and related Markov semigroups

Brahim Amaziane, Andrey Piatnitski, Elena Zhizhina, 2021 .

The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary☆

Avner Friedman, Andrey L. Piatnitski, Andrey Piatnitski, 1999 .

Homogenization and concentration for a diffusion equation with large convection in a bounded domain

Grégoire Allaire, Andrey L. Piatnitski, Andrey Piatnitski, 2012 .

Homogenization of convection-diffusion equation in thin rod structure

Grigory Panasenko, Andrey Piatnitski, Iryna Pankratova, 2008 .

Homogenization of a Nonlinear Convection‐Diffusion Equation with Rapidly Oscillating Coefficients and Strong Convection

Andrey L. Piatnitski, Eduard Marušić-Paloka, Andrey Piatnitski, 2005 .

Homogenization of nonlinear reaction-diffusion equation with a large reaction term

Grégoire Allaire, Andrey Piatnitski, 2010 .

Homogenization of a nonlinear random parabolic partial differential equation

Andrey L. Piatnitski, Etienne Pardoux, Andrey Piatnitski, 2003 .

Homogenization of Periodic Systems with Large Potentials

Grégoire Allaire, Yves Capdeboscq, M. Vanninathan, 2004 .

Γ-CONVERGENCE APPROACH TO VARIATIONAL PROBLEMS IN PERFORATED DOMAINS WITH FOURIER BOUNDARY CONDITIONS

Andrey L. Piatnitski, Valeria Chiadò Piat, Andrey Piatnitski, 2010 .

Effective Diffusion in Vanishing Viscosity

Fabien Campillo, Andrey Piatnitski, 2002 .

Boundary homogenization in domains with randomly oscillating boundary

Olivier Bodart, Andrey L. Piatnitski, Youcef Amirat, 2011 .

Homogenization of random parabolic operator with large potential

Fabien Campillo, Andrey L. Piatnitski, Andrey Piatnitski, 2001 .

Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator

Alain Bourgeat, Andrey Piatnitski, P. Michelon, 1999 .

On homogenization of networks and junctions

Andrey L. Piatnitski, Dag Lukkassen, Andrey Piatnitski, 2002 .

Homogenization of p-Laplacian in perforated domain

Andrey L. Piatnitski, Brahim Amaziane, Leonid Pankratov, 2009 .

On the behaviour at infinity of solutions to stationary convection-diffusion equations in a cylinder

Andrey L. Piatnitski, Andrey Piatnitski, Iryna Pankratova, 2009 .

Homogenization in perforated domains with rapidly pulsing perforations

Doina Cioranescu, Andrey L. Piatnitski, Andrey Piatnitski, 2003 .

Holder Estimates for Solutions of Parabolic SPDEs

Andrey L. Piatnitski, Sergei Kuksin, Andrey Piatnitski, 2021, 2110.00951.

HOMOGENIZATION OF A SINGLE PHASE FLOW THROUGH A POROUS MEDIUM IN A THIN LAYER

Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski, 2007 .

Homogenization of random non stationary parabolic operators

Andrey L. Piatnitski, Andrey Piatnitski, 2006 .

Homogenization: Methods and Applications

Andrey L. Piatnitski, Andrey Piatnitski, Gregory A. Chechkin, 2007 .

Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures

Andrey L. Piatnitski, Brahim Amaziane, Leonid Pankratov, 2014 .

Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

Grégoire Allaire, Andrey L. Piatnitski, Andro Mikelić, 2010 .

Homogenization of the linearized ionic transport equations in rigid periodic porous media

Grégoire Allaire, Andrey L. Piatnitski, Andro Mikelić, 2010 .

Averaging of nonstationary parabolic operators with large lower order terms

Andrey L. Piatnitski, Patrizia Donato, Andrey Piatnitski, 2005 .

Asymptotic analysis of the Poisson–Boltzmann equation describing electrokinetics in porous media

Andro Mikelic, Andrey L. Piatnitski, Andrey Piatnitski, 2012, 1212.3720.

Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling

Andro Mikelic, Andrey L. Piatnitski, Robert Brizzi, 2013, 1309.3679.

Homogenization of surface and length energies for spin systems

Andrey L. Piatnitski, Andrea Braides, Andrey Piatnitski, 2013 .

Homogenization and localization with an interface

Grégoire Allaire, Yves Capdeboscq, Andrey Piatnitski, 2003 .