Global existence for semilinear reaction–diffusion systems on evolving domains
Global existence for semilinear reaction–diffusion systems on evolving domains
复制标题
演化域上半线性反应扩散系统的全局存在性
DOI：
10.1007/s00285-011-0404-x
复制
发表时间：
2010
影响因子：
1.9
通讯作者：
A. Madzvamuse
中科院分区：
文献类型：
--
作者：
C. Venkataraman;O. Lakkis;A. Madzvamuse
本文给出了发展区域上反应扩散方程组解的整体存在性结果。将固定区域上一类反应扩散方程组的整体存在性结果推广到空间线性各向同性发展区域上。在没有对增长率的符号作任何假设的情况下，结果仍然成立。这种分析对模式形成理论中常见的许多系统都是有效的。我们提出的数值结果说明我们的理论研究结果。
We present global existence results for solutions of reaction–diffusion systems on evolving domains. Global existence results for a class of reaction–diffusion systems on fixed domains are extended to the same systems posed on spatially linear isotropically evolving domains. The results hold without any assumptions on the sign of the growth rate. The analysis is valid for many systems that commonly arise in the theory of pattern formation. We present numerical results illustrating our theoretical findings.