Approximations of effective coefficients in stochastic homogenization A Bourgeat, A Piatnitski Annales de l'IHP Probabilités et statistiques 40 (2), 153-165, 2004 | 271 | 2004 |
Quenched invariance principles for random walks on percolation clusters P Mathieu, A Piatnitski Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2007 | 218 | 2007 |
The boundary-value problem in domains with very rapidly oscillating boundary GA Chechkin, A Friedman, AL Piatnitski Journal of Mathematical Analysis and Applications 231 (1), 213-234, 1999 | 142 | 1999 |
Homogenization of the Schrödinger equation and effective mass theorems G Allaire, A Piatnitski Communications in mathematical physics 258, 1-22, 2005 | 140 | 2005 |
Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media G Allaire, R Brizzi, A Mikelić, A Piatnitski Chemical Engineering Science 65 (7), 2292-2300, 2010 | 87 | 2010 |
Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator A Bourgeat, A Piatnitski Asymptotic Analysis 21 (3‐4), 303-315, 1999 | 84 | 1999 |
A coupling approach to randomly forced nonlinear PDE's. II S Kuksin, A Piatniski, A Shirikyan Communications in mathematical physics 230, 81-85, 2002 | 73 | 2002 |
Homogenization approach to the dispersion theory for reactive transport through porous media G Allaire, A Mikelić, A Piatnitski SIAM Journal on Mathematical Analysis 42 (1), 125-144, 2010 | 72 | 2010 |
Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection E Marušić-Paloka, AL Piatnitski Journal of the London Mathematical Society 72 (2), 391-409, 2005 | 69 | 2005 |
Homogenization of boundary-value problem in a locally periodic perforated domain GA Chechkin, AL Piatnitski Applicable Analysis 71 (1-4), 215-235, 1998 | 69 | 1998 |
Homogenization of immiscible compressible two-phase flow in porous media: application to gas migration in a nuclear waste repository B Amaziane, S Antontsev, L Pankratov, A Piatnitski Multiscale Modeling & Simulation 8 (5), 2023-2047, 2010 | 67 | 2010 |
Homogenization of the linearized ionic transport equations in rigid periodic porous media G Allaire, A Mikelić, A Piatnitski Journal of Mathematical Physics 51 (12), 2010 | 66 | 2010 |
Khasminskii–Whitham averaging for randomly perturbed KdV equation SB Kuksin, AL Piatnitski Journal de mathématiques pures et appliquées 89 (4), 400-428, 2008 | 60 | 2008 |
Homogenization of surface and length energies for spin systems A Braides, A Piatnitski Journal of Functional Analysis 264 (6), 1296-1328, 2013 | 59 | 2013 |
Homogenization of a nonlinear random parabolic partial differential equation E Pardoux, AL Piatnitski Stochastic Processes and their Applications 104 (1), 1-27, 2003 | 56 | 2003 |
Periodic homogenization of nonlocal operators with a convolution-type kernel A Piatnitski, E Zhizhina SIAM Journal on Mathematical Analysis 49 (1), 64-81, 2017 | 53 | 2017 |
Homogenization of periodic systems with large potentials G Allaire, Y Capdeboscq, A Piatnitski, V Siess, M Vanninathan Archive for rational mechanics and analysis 174, 179-220, 2004 | 52 | 2004 |
On the double porosity model of a single phase flow in random media A Bourgeat, A Mikelić, A Piatnitski Asymptotic Analysis 34 (3-4), 311-332, 2003 | 52 | 2003 |
Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients G Allaire, R Brizzi, JF Dufrêche, A Mikelić, A Piatnitski Computational Geosciences 17, 479-495, 2013 | 47 | 2013 |
Homogenization of elliptic difference operators A Piatnitski, E Remy SIAM journal on mathematical analysis 33 (1), 53-83, 2001 | 43 | 2001 |