Global Smooth Solutions of the Nernst–Planck–Darcy System
Global Smooth Solutions of the Nernst–Planck–Darcy System
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DOI：
10.1007/s00021-022-00666-7
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发表时间：
2022-02
影响因子：
1.3
通讯作者：
M. Ignatova;Jingyang Shu
中科院分区：
文献类型：
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作者：
M. Ignatova;Jingyang Shu
能斯特-普朗克-达西系统模拟了多孔介质中的离子电扩散。我们考虑具有相反的价和相等扩散率的两种离子的体系。证明了二维或三维的Nernst-Planck-Darcy系统初值问题对于任意大数据具有全局唯一光滑解。我们得到了，为，和更高的正则界。
The Nernst–Planck–Darcy system models ionic electrodiffusion in porous media. We consider the system for two ionic species with opposite valences and equal diffusivities. We prove that the initial value problem for the Nernst–Planck–Darcy system in two or three dimensions has global unique smooth solutions for arbitrary large data. We obtain, for, and higher regularity bounds.