Andrey Piatnitski

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Grégoire Allaireprofesseur de mathématiques appliquées, Ecole PolytechniqueVerified email at cmap.polytechnique.fr
Andro MikelicUniversité Lyon 1Verified email at univ-lyon1.fr
Andrea BraidesProfessor of Mathematics, Università di Roma Tor VergataVerified email at mat.uniroma2.it
Irina Pettersson (nee Pankratova)Chalmers University of Technology and the University of GothenburgVerified email at chalmers.se
Mladen JurakProfessor of mathematics, University of ZagrebVerified email at math.hr
Yves CapdeboscqLaboratoire Jacques-Louis Lions, Université de ParisVerified email at u-paris.fr
Volodymyr RybalkoB.Verkin Institute for Low Temperature Physics and Engineering of the NAS of UkraineVerified email at ilt.kharkov.ua
Sergei KuksinProfessorVerified email at imj-prg.fr
Eduard Marušić-PalokaDepartment of mathematics, Faculty of science and mathematics, University of ZagrebVerified email at math.hr
Yuri KondratievBielefeld UniversityVerified email at math.uni-bielefeld.de
Elisabeth RemyChargée de Recherche, CNRS, Aix-Marseille UniversitéVerified email at univ-amu.fr
Grigory PanasenkoProfessor, Institute Camille Jordan, UMR CNRS 5208, University of Lyon/University of Saint-EtienneVerified email at univ-st-etienne.fr
Vincent SiessResearch Engineer, Dassault SystemesVerified email at 3ds.com
Mariya PtashnykLecturer, University of DundeeVerified email at maths.dundee.ac.uk
Martin HairerProfessor of Mathematics, Imperial College LondonVerified email at imperial.ac.uk
Alexander G. BelyaevInstitute of Sensors, Signals and Systems, Engineering & Physical Sciences, Heriot-Watt UniversityVerified email at hw.ac.uk
Rybalko Antonina, Рибалко А.П.Simon Kuznets Kharkiv National University of EconomicsVerified email at hneu.net
giuseppe cardoneAssociate professor of Mathematical Analysis, University of Sannio, Benevento, ItalyVerified email at unisannio.it
Peter WallProfessor of Mathematics, Luleå University of TechnologyVerified email at ltu.se
Ciro D'APICEFull Professor, Univerisity of SalernoVerified email at unisa.it

Andrey Piatnitski

the Arctic University of Norway

Verified email at iitp.ru

homogenization differential equations functional analysis asymptotic analysis stochastic processes


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Approximations of effective coefficients in stochastic homogenization A Bourgeat, A Piatnitski Annales de l'IHP Probabilités et statistiques 40 (2), 153-165, 2004	229	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	184	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	120	1999
Homogenization of the Schrödinger equation and effective mass theorems G Allaire, A Piatnitski Communications in mathematical physics 258 (1), 1-22, 2005	114	2005
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	75	1999
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	61	2010
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	59	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), 123103, 2010	58	2010
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	57	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	57	2005
Khasminskii–Whitham averaging for randomly perturbed KdV equation SB Kuksin, AL Piatnitski Journal de mathématiques pures et appliquées 89 (4), 400-428, 2008	54	2008
Homogenization of boundary-value problem in a locally periodic perforated domain GA Chechkin, AL Piatnitski Applicable Analysis 71 (1-4), 215-235, 1998	52	1998
Homogenization of surface and length energies for spin systems A Braides, A Piatnitski Journal of Functional Analysis 264 (6), 1296-1328, 2013	50	2013
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	46	2003
Homogenization of periodic systems with large potentials G Allaire, Y Capdeboscq, A Piatnitski, V Siess, M Vanninathan Archive for Rational Mechanics and Analysis 174 (2), 179-220, 2004	45	2004
Homogenization of a nonlinear random parabolic partial differential equation E Pardoux, AL Piatnitski Stochastic Processes and their Applications 104 (1), 1-27, 2003	45	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 (3), 479-495, 2013	39	2013
Uniform spectral asymptotics for singularly perturbed locally periodic operators G Allaire, A Piatnitski Taylor & Francis Group 27 (3-4), 705-725, 2002	39	2002
Averaging a transport equation with small diffusion and oscillating velocity A Bourgeat, M Jurak, AL Piatnitski Mathematical methods in the applied sciences 26 (2), 95-117, 2003	37	2003
Modele de double porosité aléatoire A Bourgeat, A Mikelić, A Piatnitski Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 327 (1), 99-104, 1998	37	1998

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