Local well-posedness for Euler-Poisson fluids with non-zero heat conduction
Analysis of PDEs
2015-03-17 v1
Abstract
We consider the multidimensional Euler-Poisson equations with non-zero heat conduction, which consist of a coupled hyperbolic-parabolic-elliptic system of balance laws. We make a deep analysis on the coupling effects and establish a local well-posedness of classical solutions to the Cauchy problem pertaining to data in the critical Besov space. Proof mainly relies on a standard iteration argument. To achieve it, a new Moser-type inequality is developed by the Bony' decomposition.
Keywords
Cite
@article{arxiv.1109.4035,
title = {Local well-posedness for Euler-Poisson fluids with non-zero heat conduction},
author = {Jiang Xu},
journal= {arXiv preprint arXiv:1109.4035},
year = {2015}
}