论文标题
非等温泊松 - 尼斯特·弗朗克较大系统的全球存在
Global Existence of the Non-isothermal Poisson-Nernst-Planck-Fourier System
论文作者
论文摘要
在本文中，我们考虑了一种非等热电动模型，该模型源自能量变化方法。电荷运输是通过温度变化的泊松尼斯特·尼斯特（Poisson-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-Nernst-planck方程）来描述的，热通量满足了傅立叶定律。这个Poisson-Nernst-Planck-Fourier模型既满足热力学的第一定律和第二定律，也满足Onsager的相互关系，因此它是热力学一致的。最后，我们证明了该模型的全球适合性在通过能量方法的初始数据假设下。
In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the heat flux satisfies the Fourier's law. This Poisson-Nernst-Planck-Fourier model satisfies both the first law and second law of thermodynamics as well as the Onsager's reciprocal relations, thus it is thermodynamic-consistent. Finally, we prove the global well-posedness for this model under the smallness assumption of the initial data by the energy method.
