论文标题
三角反应 - 跨扩散系统的全球平滑溶液
Global smooth solutions for triangular reaction-cross diffusion systems
论文作者
论文摘要
对于两个方程式的一类反应交叉扩散系统，在第一个方程式和自扩散术语中具有交叉扩散项，我们证明Amann Theorem给出的独特的局部平滑解决方案实际上是全局的。这类系统在人群动力学中产生，并扩展三角形shigesada-kawasaki-teramoto系统。
For a class of reaction cross-diffusion systems of two equations with a cross-diffusion term in the first equation and with self-diffusion terms, we prove that the unique local smooth solution given by Amann theorem is actually global. This class of systems arises in Population dynamics, and extends the triangular Shigesada-Kawasaki-Teramoto system when general power-laws growth are considered in the reaction and diffusion rates.
