Bifurcation in a Reaction-Diffusion-Advection Equation with Nonlinear Boundary Conditions

被引：0

作者：

Liu, Kaikai ^{[1
]}

Guo, Shangjiang ^{[1
]}

机构：

[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2025年 / 35卷 / 07期

关键词：

Reaction-diffusion-advection; nonlinear boundary condition; bifurcation; Lyapunov-Schmidt reduction; POSITIVE SOLUTIONS; LOGISTIC EQUATIONS; STABILITY; MODEL;

D O I：

10.1142/S0218127425500774

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the existence and multiplicity of positive solutions of a reaction-diffusion-advection equation with nonlinear boundary conditions. The bifurcation phenomenon around the steady states is analyzed by Lyapunov-Schmidt reduction method based on an orthogonal decomposition of L-2(Omega). Finally, the conclusion about bifurcation phenomenon is applied to two specific examples.

引用

页数：16

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