Contrast structure in a singularly perturbed Burgers type equation

doi:10.3969/j.issn.1000-5641.2026.04.001

Abstract

Abstract:

This study considers the periodic boundary value problem for a class of singularly perturbed Burgers type equation with a discontinuous reaction term. Based on the boundary layer function method, contrast structure theory, and differential inequality methods, the existence and uniqueness as well as the local stability of the contrast structure solution are proved, and a high-precision asymptotic expansion of the solution is established.

Key words: singularly perturbed Burgers type equation, periodic solutions, internal layer, locally asymptotic stability

CLC Number:

O175.1

Xiao WU, Yue LIU. Contrast structure in a singularly perturbed Burgers type equation[J]. J* E* C* N* U* N* S*, 2026, 2026(4): 1-12.

Figures/Tables 2

References 16

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