Correctors for the nonlinear wave equations in perforated domains

DOI10.1007/s40840-016-0395-2zbMath1391.35256OpenAlexW2466669638MaRDI QIDQ723606

Yunxia Yu, Zhan-Ying Yang

Publication date: 24 July 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0395-2

zbMATH Keywords

homogenizationnonlinear wave equationscorrectorsperforated domainsperiodic unfolding method

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Multiscale homogenization of nonlinear hyperbolic equations with several time scales
• Homogenization for a nonlinear wave equation in domains with holes of small capacity
• Homogenization of degenerate nonlinear parabolic equation in divergence form
• Exact internal controllability in performed domains
• Homogenization in open sets with holes
• Periodic unfolding and homogenization
• Correctors for the homogenization of the wave and heat equations
• Homogenization and correctors for the heat equation in perforated domains
• Homogenization for degenerate quasilinear parabolic equations of second order
• The periodic unfolding method in perforated domains
• The Periodic Unfolding Method in Domains with Holes
• Corrector results for a parabolic problem with a memory effect
• Homogenization and correctors of a class of elliptic problems in perforated domains
• The Periodic Unfolding Method in Homogenization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item