A novel uniform expansion for a singularly perturbed parabolic problem with corner singularity

DOI10.4310/MAA.1996.v3.n2.a3zbMath0995.41017MaRDI QIDQ674801

Shagi-Di Shih

Publication date: 18 June 1997

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

zbMATH Keywords

corner singularityinternal layeriterated integrals of the complementary error functionsingularly perturbed parabolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Asymptotic expansions of solutions to PDEs (35C20) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (4)

Analytical methods for an elliptic singular perturbation problem in a circle ⋮ Asymptotic behaviour of three-dimensional singularly perturbed convection-diffusion problems with discontinuous data ⋮ Internal layer intersecting the boundary of a domain in a singular advection–diffusion equation ⋮ Singularly perturbed problems in partial differential equations: A survey

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