An elliptic problem with strongly nonlinear interface condition
An elliptic problem with strongly nonlinear interface condition
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DOI：
10.1080/00036811.2018.1504026
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发表时间：
2018-08
影响因子：
1.1
通讯作者：
W. Dörfler;Markus Maier
中科院分区：
文献类型：
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作者：
W. Dörfler;Markus Maier
摘要我们考虑一个在锂离子电池电化学过程建模中产生的偏微分方程系统。在这种简化中，它由两个椭圆方程组成，这两个椭圆方程位于由界面分隔的两个区域中。在界面处保持诺依曼条件，该条件指数地依赖于界面处的解的跳跃（Butler-Vollmer方程）。我们证明了一个解的唯一存在性和一个比较原理。
ABSTRACT We consider a system of partial differential equations arising in the modelling of the electrochemical processes in Li-ion batteries. In this simplification, it consists of two elliptic equations in two domains separated by an interface. At the interface holds a Neumann condition that depends exponentially on the jump of the solution at the interface (Butler–Vollmer equation). We prove unique existence of a solution and a comparison principle.