Existence and Asymptotic Stability of a Stationary Boundary-Layer Solution of the Two-Dimensional Reaction-Diffusion-Advection Problem

被引：2

作者：

Levashova, N. T. ^{[1
]}

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

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

机构：

[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia

来源：

DIFFERENTIAL EQUATIONS | 2020年 / 56卷 / 02期

基金：

俄罗斯科学基金会;

关键词：

PERIODIC CONTRAST STRUCTURES; MODULAR NONLINEARITY; FRONT MOTION; EQUATIONS;

D O I：

10.1134/S0012266120020068

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and the Lyapunov asymptotic stability of a stationary boundary layer solution of the initial-boundary value problem for a two-dimensional singularly perturbed reaction-diffusion-advection equation. We construct an asymptotic approximation to this solution using the boundary function method. The proofs are based on the applicability of the asymptotic method of differential inequalities.

引用

页码：199 / 211

页数：13

共 50 条

[31] Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
Nefedov, N. N.
Recke, L.
Schneider, K. R.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (01) : 90 - 103
[32] Existence and stability of a stable stationary solution with a boundary layer for a system of reaction-diffusion equations with Neumann boundary conditions
Nefedov, N. N.
Deryugina, N. N.
[J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2022, 212 (01) : 962 - 971
[33] Existence and Stability of Contrast Structures in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems
Davydova, M. A.
Nefedov, N. N.
[J]. NUMERICAL ANALYSIS AND ITS APPLICATIONS (NAA 2016), 2017, 10187 : 277 - 285
[34] On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem
Nefedov, N. N.
Nikulin, E., I
[J]. MATHEMATICAL NOTES, 2021, 110 (5-6) : 922 - 931
[35] On Unstable Solutions with a Nonmonotone Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem
N. N. Nefedov
E. I. Nikulin
[J]. Mathematical Notes, 2021, 110 : 922 - 931
[36] BOUNDARY-LAYER FLOW AND DIFFUSION OVER A TWO-DIMENSIONAL LOW HILL
COURTNEY, LY
ARYA, SPS
[J]. BULLETIN OF THE AMERICAN METEOROLOGICAL SOCIETY, 1980, 61 (01) : 91 - 91
[37] The Asymptotic Stability of a Stationary Solution with an Internal Transition Layer to a Reaction-Diffusion Problem with a Discontinuous Reactive Term
Nefedov, N. N.
Levashova, N. T.
Orlov, A. O.
[J]. MOSCOW UNIVERSITY PHYSICS BULLETIN, 2018, 73 (06) : 565 - 572
[38] Bifurcation and stability of a two-species reaction-diffusion-advection competition model
Ma, Li
Guo, Shangjiang
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 59
[39] AN ASYMPTOTIC THEORY OF TWO-DIMENSIONAL INCOMPRESSIBLE TURBULENT BOUNDARY-LAYER AND WAKE FLOW
NEISH, A
SMITH, FT
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1989, 69 (06): : T562 - T563
[40] NONPARALLEL STABILITY OF TWO-DIMENSIONAL NONUNIFORMLY HEATED BOUNDARY-LAYER FLOWS
NAYFEH, AH
ELHADY, NM
[J]. PHYSICS OF FLUIDS, 1980, 23 (01) : 10 - 18

← 1 2 3 4 5 →