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arXiv · 1604.02516

Global Well-posedness of the Relativistic Boltzmann Equation

Yong Wang
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Abstract

In this paper, we prove the global existence and uniqueness of mild solution to the relativistic Boltzmann equation both in the whole space and in torus for a class of initial data with bounded velocity-weighted $L^\infty$-norm and some smallness on $L^1_xL^\infty_p$-norm as well as on defect mass, energy and entropy. Moreover, the asymptotic stability of the solutions is also investigated in the case of torus.

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Yong Wang. 2016-04-09. Global Well-posedness of the Relativistic Boltzmann Equation. https://arxiv.org/abs/1604.02516

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