Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
复制标题
DOI：
10.3934/nhm.2006.1.185
复制
发表时间：
2006
期刊：
影响因子：
--
通讯作者：
M. Bendahmane;K. Karlsen
中科院分区：
文献类型：
--
作者：
M. Bendahmane;K. Karlsen
证明了一类退化反应扩散方程组的适定性（存在唯一性）结果。属于这一类的原型系统提供了bidomain模型，这是经常用来研究和模拟心脏组织中的电生理波。利用非退化逼近系统、Faedo-Galerkin方法和紧性方法证明了这一结果的存在性。
We prove well-posedness (existence and uniqueness) results for a class of degenerate reaction-diffusion systems. A prototype system belonging to this class is provided by the bidomain model, which is frequently used to study and simulate electrophysiological waves in cardiac tissue. The existence result, which constitutes the main thrust of this paper, is proved by means of a nondegenerate approximation system, the Faedo-Galerkin method, and the compactness method.