Liouville-type theorems for the planer stationary MHD equations with growth at infinity
Analysis of PDEs
2019-06-04 v2
Abstract
For the two dimensional stationary MHD equations, we proved that Liouville type theorems hold if the velocity is growing at infinity, where the magnetic field is assumed to be bounded under a smallness condition. The key point is to overcome the nonlinear terms, since no maximum principle holds for the MHD case with respect to the Navier-Stokes equations.
Keywords
Cite
@article{arxiv.1903.05989,
title = {Liouville-type theorems for the planer stationary MHD equations with growth at infinity},
author = {Wendong Wang},
journal= {arXiv preprint arXiv:1903.05989},
year = {2019}
}
Comments
We added some details for Theorem 1.2