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- Title
Global Large Solutions to the Navier-Stokes-Nernst-Planck-Poisson Equations.
- Authors
Ma, Haitao
- Abstract
In this article, we obtain a new wellposedness result to the d<inline-graphic></inline-graphic>-dimensional Navier-Stokes-Nernst-Planck-Poisson equations. Our result implies that, if the initial charge densities of a negatively and positively charged species are close enough, we can get global solutions only needing smallness condition imposed on initial velocity. The structure coming from equations and the weighted Chemin-Lerner type space are crucial in our arguments.
- Subjects
NAVIER-Stokes equations; BESOV spaces; GRAPH theory; POISSON processes; VELOCITY
- Publication
Acta Applicandae Mathematicae, 2018, Vol 157, Issue 1, p129
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-018-0167-0