Homogenization of semilinear parabolic equations in perforated domains
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Publication:1884121
DOI10.1142/S0252959904000159zbMath1085.35022MaRDI QIDQ1884121
Publication date: 25 October 2004
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
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The periodic unfolding method for the heat equation in perforated domains ⋮ Homogenization of parabolic problem with nonlinear transmission condition ⋮ Asymptotic analysis of a certain class of semilinear parabolic problem with interfacial contact resistance ⋮ Corrector results for a parabolic problem with a memory effect ⋮ Homogenization of a nonlinear multiscale model of calcium dynamics in biological cells ⋮ Asymptotic analysis of a parabolic semilinear problem with nonlinear boundary multiphase interactions in a perforated domain ⋮ Homogenization of a parabolic Signorini boundary value problem in a thick plane junction ⋮ Asymptotic approximations for solutions to quasilinear and linear parabolic problems with different perturbed boundary conditions in perforated domains ⋮ Homogenization of linear parabolic equations with a certain resonant matching between rapid spatial and temporal oscillations in periodically perforated domains
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