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arXiv · 1109.4035

Local well-posedness for Euler-Poisson fluids with non-zero heat conduction

Jiang Xu
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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.

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Jiang Xu. 2011-09-19. Local well-posedness for Euler-Poisson fluids with non-zero heat conduction. https://arxiv.org/abs/1109.4035

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