摘要
文中我们考虑了如下一类退化反应扩散系统在齐次D irichlet边界条件下的单点爆破情况ut=Δum+uP1∫Ωvq1dx x∈Ω,t>0,q2dx x∈Ω,t>0其中,ΩRN是具有光滑边界Ω的有界区域。在适当的假设条件下,我们得到了爆破解只在区域的一个点爆破。
This paper discusses the single point blowup for a degenerate reaction - diffusion system as the following ut=△u^m＋u^p1∫Ω^vq1dx x∈Ω,t〉0,vt=△v^n＋v^p2∫Ω^uq2dx x∈Ω,t〉0 with homogeneous Dirichlet boundary conditions, where is a bounded domain with smooth boundary . Under appropriate hypotheses, the solution is to be obtained that this system blows up only at a single point.
出处
《绵阳师范学院学报》
2006年第5期13-15,共3页
Journal of Mianyang Teachers＇ College
关键词
爆破
单点爆破
退化反应扩散系统
blowup, single point blowup, degenerate reaction- diffusion system
