SINGULARLY PERTURBED PERIODIC PARABOLIC EQUATIONS WITH ALTERNATING BOUNDARY LAYER TYPE SOLUTIONS IN SPATIALLY TWO-DIMENSIONAL DOMAINS

DOI10.1142/S0219530513500292zbMath1276.35017OpenAlexW1982952518MaRDI QIDQ2855478

Leonid V. Kalachev, A. B. Vasil'eva

Publication date: 25 October 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530513500292

zbMATH Keywords

boundary function methodradially symmetric boundary value problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Semilinear parabolic equations (35K58)

Cites Work

• Multiple internal layer solutions generated by spatially oscillatory perturbations
• Singularly perturbed periodic parabolic equations with alternating boundary layer type solutions
• Construction and asymptotic stability of structurally stable internal layer solutions
• Stability of Singularly Perturbed Solutions to Systems of Reaction-Diffusion Equations
• Periodic traveling waves and locating oscillating patterns in multidimensional domains