Strong solutions to the nonhomogeneous Boussinesq equations for magnetohydrodynamics convection without thermal diffusion

Autor: Xin Zhong
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 24, Pp 1-23 (2020)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2020.1.24
Popis: We are concerned with the Cauchy problem of nonhomogeneous Boussinesq equations for magnetohydrodynamics convection in $\mathbb{R}^2$. We show that there exists a unique local strong solution provided the initial density, the magnetic field, and the initial temperature decrease at infinity sufficiently quickly. In particular, the initial data can be arbitrarily large and the initial density may contain vacuum states.
Databáze: Directory of Open Access Journals