论文标题
反应扩散系统与非线性扩散的快速反应极限
Fast reaction limit of reaction diffusion systems with nonlinear diffusion
论文作者
论文摘要
在本文中，我们提出了一种表征具有非线性扩散系统的快速反应限制的方法，当时有两个反应扩散方程，或一个反应扩散方程和一个普通的微分方程在无界域上。在这里，我们在通常的反应扩散方程中替换了UXX形式的术语，该术语代表线性扩散，用代表非线性扩散的术语（u）xx的术语。我们证明了收敛性，因为k倾向于无穷大，该限制是由特定标量非线性扩散极限问题的唯一解决方案确定的。
In this paper, we present an approach to characterising fast-reaction limits of systems with nonlinear diffusion, when there are either two reaction-diffusion equations, or one reaction-diffusion equation and one ordinary differential equation, on unbounded domains. Here, we replace the terms of the form uxx in usual reaction-diffusion equation, which represent linear diffusion, by terms of form phi(u)xx, representing nonlinear diffusion. We prove the convergence as k tends to infinity to a limit that is determined by the unique solution of a certain scalar nonlinear diffusion limit problem.
