Andrey Piatnitski

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Publications

Citations

1.9K

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Active since

1998

Affiliations

P.N. Lebedev Physical Institute of the Russian Academy of Sciences(Current)

Narvik Sykehus

Centre National de la Recherche Scientifique

École Polytechnique

Université Claude Bernard Lyon 1

Andrey Piatnitski is an author at P.N. Lebedev Physical Institute of the Russian Academy of Sciences specializing in natural sciences, homogenization, and homogenization theory.

ORCID

Publications per year

1998–2023

Publications

Quenched invariance principles for random walks on percolation clusters

Pierre Mathieu, Andrey Piatnitski · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · 2007 · 187 citations

Natural Sciences, Mathematics, Physics +17

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

Avner Friedman, Andrey Piatnitski · Journal of Mathematical Analysis and Applications · 1999 · 133 citations · Full text

Natural Sciences, Mathematics, Physics +11

Homogenization of the Schrödinger Equation and Effective Mass Theorems

Grégoire Allaire, Andrey Piatnitski · Communications in Mathematical Physics · 2005 · 103 citations

Natural Sciences, Mathematics, Physics +14

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

Grégoire Allaire, Robert Brizzi, Andro Mikelić et al. · Chemical Engineering Science · 2009 · 66 citations

Engineering, Chemical Engineering, Petroleum Engineering +17

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

Alain Bourgeat, Andrey Piatnitski · Asymptotic Analysis · 1999 · 62 citations

Natural Sciences, Mathematics, Probability Theory +11

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