Global Well-posedness of the Relativistic Boltzmann Equation

2016/04/09 by Wang, Yong
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1604.02516

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^∞-norm and some smallness on L¹_xL^∞_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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