带有Dirichlet边界条件的退化反应扩散方程解的收敛性
Convergence of solutions to the degenerate reaction diffusion equation with Dirichlet boundary condition
李芳 1李昕 1夏侯珍 1谢江婷1
作者信息
- 1. 上海师范大学数理学院,上海 200234
- 折叠
摘要
我们考虑一类带有Dirichlet边界条件的正的双稳定型退化反应扩散方程解的渐近行为.我们首先证明了一个收敛性结果.进一步,通过引入一组非负有紧支集的初值函数,证明了该问题解的渐近行为的小传播-大传播二分性结果.
Abstract
We consider the asymptotic behavior of solutions to the porous medium equation with a positive bistable type reaction term and Dirichlet boundary condition.We first prove a convergence result.Furthermore,by investigating families of initial data of the type {φσ}σ＞0,where φσ belongs to an appropriate class of nonnegative compactly supported functions,we prove small spreading-big spreading dichotomy on the asymptotic behavior of the solutions.
关键词
渗流方程/Dirichlet边界条件/渐近行为Key words
porous medium equation/Dirichlet boundary condition/asymptotic behavior引用本文复制引用
出版年
2024
NETL
NSTL
万方数据