Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems
Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems
复制标题
DOI：
10.3934/dcds.2006.14.63
复制
发表时间：
2005-10
影响因子：
1.1
通讯作者：
M. Fila;H. Ninomiya;J. Vázquez
中科院分区：
文献类型：
--
作者：
M. Fila;H. Ninomiya;J. Vázquez
本文研究了以下问题：假设我们有一个反应扩散方程或系统，其中一些空间均匀的解在有限时间内爆炸。是否有可能通过施加狄利克雷边界条件或扩散发挥作用的其他效应来抑制爆裂的发生？我们给出了答案是肯定的方程和系统的例子。
This paper examines the following question: Suppose that we have a reaction-diffusion equation or system such that some solutions which are homogeneous in space blow up in finite time. Is it possible to inhibit the occurrence of blow-up as a consequence of imposing Dirichlet boundary conditions, or other effects where diffusion plays a role? We give examples of equations and systems where the answer is affirmative.