Homogenization and correctors for the heat equation in perforated domains
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Publication:2569877
zbMath1102.35305MaRDI QIDQ2569877
Publication date: 20 October 2005
Published in: Ricerche di Matematica (Search for Journal in Brave)
Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) 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 ⋮ Modeling the flash-heat experiment on porous domains ⋮ Approximate Controllability of linear parabolic equations in perforated domains ⋮ Optimal control for a hyperbolic problem in composites with imperfect interface: a memory effect ⋮ 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 in perforated domains with rapidly pulsing perforations ⋮ Correctors for the nonlinear wave equations in perforated domains ⋮ Homogenization of linear parabolic equations with a certain resonant matching between rapid spatial and temporal oscillations in periodically perforated domains ⋮ On the approximate controllability of parabolic problems with non-smooth coefficients ⋮ Optimal control for evolutionary imperfect transmission problems
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