Asymptotic analysis of linear parabolic problems with singularities

DOI10.1134/S0965542515010078zbMath1332.35142MaRDI QIDQ2354418

V. B. Levenshtam, V. Gusachenko

Publication date: 13 July 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

singular limit problemcomplete asymptotic expansionlinear parabolic problemhigh-frequency time coefficients

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic expansions of solutions to PDEs (35C20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The averaging method in the convection problem with high-frequency oblique vibrations
• Method of averaging for quasilinear parabolic equations with fast oscillating coefficients
• Justification of the averaging method for the convection problem with high-frequency vibrations
• Asymptotic integration of a system of differential equations with high-frequency terms in the critical case
• Asymptotic integration of linear parabolic problems with high-frequency coefficients in the critical case
• Construction of higher approximations of the averaging method for parabolic initial-boundary value problems using the boundary layer method
• Asymptotic integration of a system of differential equations with a large parameter in the critical case
• THE SOLUTION OF SOME PERTURBATION PROBLEMS FOR MATRICES AND SELFADJOINT OR NON-SELFADJOINT DIFFERENTIAL EQUATIONS I
• Justification of the averaging method for parabolic equations containing rapidly oscillating terms with large amplitudes
• Linear parabolic problem: High-frequency asymptotics in the critical case
• A JUSTIFICATION OF THE AVERAGING METHOD FOR A PROBLEM OF CONVECTION IN A FIELD OF RAPIDLY OSCILLATING FORCES AND FOR OTHER PARABOLIC EQUATIONS

This page was built for publication: Asymptotic analysis of linear parabolic problems with singularities