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

/ Authors

/ 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 H1(R) × H2(R) × H2(R) under certain conditions of s1 and s2. 2010 Mathematics Subject Classification: 35Q35, 35K15, 76N10.

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

/ Authors

Zeng Zhang, Zhaoyang Yin

/ 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 H1(R) × H2(R) × H2(R) under certain conditions of s1 and s2. 2010 Mathematics Subject Classification: 35Q35, 35K15, 76N10.