Effective Diffusion for a Parabolic Operator with Periodic Potential. - Serguei M. Kozlov; Andrei L. Piatnitski (SIAM J. Appl. Math., 1993)

Homogenization of Elliptic Difference Operators. - Andrey Piatnitski; Elisabeth Remy (SIAM J. Math. Anal., 2001)

Homogenization of a Porous Medium with Randomly Pulsating Microstructure. - Doina Cioranescu; Andrey Piatnitski (Multiscale Model. Simul., 2006)

Scaling up of an underground nuclear waste repository including a possibly damaged zone. - Alain Bourgeat; Eduard Marusic-Paloka; Andrey Piatnitski (Asymptot. Anal., 2010)

Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository. - Brahim Amaziane; Stanislav N. Antontsev; Leonid Pankratov; Andrey Piatnitski (Multiscale Model. Simul., 2010)

Homogenization of variational functionals with nonstandard growth in perforated domains. - Brahim Amaziane; Leonid Pankratov; Andrey Piatnitski (Networks Heterog. Media, 2010)

Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media. - Grégoire Allaire; Andro Mikelic; Andrey Piatnitski (SIAM J. Math. Anal., 2010)

Averaging of a Singular Random Source Term in a Diffusion Convection Equation. - Alain Bourgeat; Andrey L. Piatnitski (SIAM J. Math. Anal., 2010)

Homogenization of convection-diffusion equation in infinite cylinder. - Iryna Pankratova; Andrey Piatnitski (Networks Heterog. Media, 2011)

Steklov problems in perforated domains with a coefficient of indefinite sign. - Valeria Chiadò Piat; Sergey A. Nazarov; Andrey Piatnitski (Networks Heterog. Media, 2012)

Localization Effect for a Spectral Problem in a Perforated Domain with Fourier Boundary Conditions. - Valeria Chiadò Piat; Iryna Pankratova; Andrey Piatnitski (SIAM J. Math. Anal., 2013)

On the rate of convergence of solutions in domain with random multilevel oscillating boundary. - Gregory A. Chechkin; Ciro D'Apice; Umberto De Maio; Andrey L. Piatnitski (Asymptot. Anal., 2014)

Homogenization of Discrete High-Contrast Energies. - Andrea Braides; Valeria Chiadò Piat; Andrey Piatnitski (SIAM J. Math. Anal., 2015)

Osmosis for non-electrolyte solvents in permeable periodic porous media. - Alexei Heintz; Andrey Piatnitski (Networks Heterog. Media, 2016)

Homogenization of Biomechanical Models for Plant Tissues. - Andrey Piatnitski; Mariya Ptashnyk (Multiscale Model. Simul., 2017)

An improved homogenization result for immiscible compressible two-phase flow in porous media. - Brahim Amaziane; Leonid Pankratov; Andrey Piatnitski (Networks Heterog. Media, 2017)

Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel. - Andrey L. Piatnitski; Elena A. Zhizhina (SIAM J. Math. Anal., 2017)

Homogenization of biased convolution type operators. - Andrey L. Piatnitski; Elena A. Zhizhina (Asymptot. Anal., 2019)

Homogenization of Lévy-type Operators with Oscillating Coefficients. - Moritz Kassmann; Andrey Piatnitski; Elena A. Zhizhina (SIAM J. Math. Anal., 2019)