论文标题
关于某些电泄漏模型的全球适应性和gevrey规律性
On the global well-posedness and Gevrey regularity of some electrodiffusion models
论文作者
论文摘要
我们考虑了二维不可压缩的流体中多个离子浓度的非线性时间演变的Nernst-Planck方程。流体的速度会根据欧拉或达西的方程式发展，均被带电离子的存在产生的电力迫使非线性。我们解决了周期性环境中产生的电填充模型的全球适应性和gevrey规律性。
We consider the Nernst-Planck equations describing the nonlinear time evolution of multiple ionic concentrations in a two-dimensional incompressible fluid. The velocity of the fluid evolves according to either the Euler or Darcy's equations, both forced nonlinearly by the electric forces generated by the presence of charged ions. We address the global well-posedness and Gevrey regularity of the resulting electrodiffusion models in the periodic setting.
