Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation with weak diffusion

DOI10.1134/S0965542523020136zbMath1512.35034MaRDI QIDQ6042700

A. V. Nesterov, A. V. Zaborskii

Publication date: 3 May 2023

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

zbMATH Keywords

critical caseCauchy problemsingular perturbationsparabolic equationstransport equationsKorteweg-de Vries-Burgers equationsoperator differential equationsformal asymptotic expansions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Singular perturbations in context of PDEs (35B25) Transport equations (35Q49)

Cites Work

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• The step-decay problem for the Korteweg-de Vries-Burgers equation
• Asymptotics of the solution to the Cauchy problem for a singularly perturbed operator differential transport equation in several space variables
• On the asymptotic forms of the solution of a system of diffusion-sorption equations with small diffusion coefficients

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