HIGHER ORDER ASYMPTOTICS OF SOLUTIONS OF PROBLEMS ON THE CONTACT OF PERIODIC STRUCTURES

DOI10.1070/SM1981v038n04ABEH001453zbMath0462.35007MaRDI QIDQ3913129

Gregory P. Panasenko

Publication date: 1981

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

zbMATH Keywords

periodic structureshigher order asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Heat equation (35K05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure ⋮ An asymptotic strategy to couple homogenized elastic structures ⋮ On the homogenization of the Helmholtz problem with thin perforated walls of finite length ⋮ Correctors and error estimates for reaction-diffusion processes through thin heterogeneous layers in case of homogenized equations with interface diffusion ⋮ Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure ⋮ Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions

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