Global well-posedness for Euler-Nernst-Planck-Possion system in dimension two

2014/07/09 by Zeng Zhang, Zhaoyang Yin, Zhang, Zeng +1
Mathematics · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.1407.2344

Abstract

In this paper, we study the Cauchy problem of the Euler-Nernst-Planck-Possion system. We obtain global well-posedness for the system in dimension d=2 for any initial data in H^s₁(ℝ²)× H^s₂(ℝ²)× H^s₂(ℝ²) under certain conditions of s₁ and s₂.

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