Singularities of \(A\) and \(B\) types in asymptotic analysis of solutions of a parabolic equation

DOI10.1007/S10688-015-0120-1zbMath1383.35112OpenAlexW2420375570MaRDI QIDQ280802

S. V. Zakharov

Publication date: 10 May 2016

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

Full work available at URL: https://doi.org/10.1007/s10688-015-0120-1

zbMATH Keywords

asymptoticssingular pointsparabolic equation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15) Quasilinear parabolic equations (35K59)

Related Items (5)

Asymptotic solution of the multidimensional Burgers equation near a singularity ⋮ Solution of a parabolic Hamilton-Jacobi type equation determined by a simple boundary singularity ⋮ Reconstructions of the asymptotics of an integral determined by a hyperbolic unimodal singularity ⋮ Singular points and asymptotics in the singular Cauchy problem for the parabolic equation with a small parameter ⋮ Asymptotic Solutions of a Parabolic Equation Near Singular Points of A and B Types

Cites Work

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• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Shock waves for the Burgers equation and curvatures of diffeomorphism groups
• CRITICAL POINTS OF FUNCTIONS ON A MANIFOLD WITH BOUNDARY, THE SIMPLE LIE GROUPSB_k,C_k, ANDF₄AND SINGULARITIES OF EVOLUTES
• Asymptotic solution of a Cauchy problem in a neighbourhood of a gradient catastrophe
• From weak discontinuity to gradient catastrophe

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