EXISTENCE AND STABILITY OF STATIONARY SOLUTIONS WITH BOUNDARY LAYERS IN A SYSTEM OF FAST AND SLOW REACTION-DIFFUSION-ADVECTION EQUATIONS WITH KPZ NONLINEARITIES

被引：0

作者：

Nefedov, N. N. ^{[1
]}

Orlov, A. O. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2024年 / 220卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

singular perturbation; reaction-diffusion-advection equations; stationary solutions; KPZ nonlinearities; asymptotic method of differential inequalities; boundary layer; Lyapunov stability; CONTRAST STRUCTURES;

D O I：

10.1134/S0040577924070092

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence of stationary solutions of singularly perturbed systems of reaction-diffusion-advection equations is studied in the case of fast and slow reaction-diffusion-advection equations with nonlinearities containing the gradient of the squared sought function (KPZ nonlinearities). The asymptotic method of differential inequalities is used to prove the existence theorems. The boundary layer asymptotics of solutions are constructed in the case of Neumann and Dirichlet boundary conditions. The case of quasimonotone sources and systems without the quasimonotonicity requirement is also considered.

引用

页码：1178 / 1192

页数：15

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