Existence of Global Solution of the Cauchy Problem for the Relativistic Boltzmann Equation with Hard Interactions

Details Existence of Global Solution of the Cauchy Problem for the Relativistic Boltzmann Equation with Hard Interactions Existence of Global Solution of the Cauchy Problem for the Relativistic Boltzmann Equation with Hard Interactions

2008-06-02

arxiv.org/abs/0806.0321v1

Chinese Journal of Contemporary Mathematics, Vol. 29, No. 1, 2008, p31-42.

Physics

Mathematical Physics

Scientific paper

By using the DiPerna and Lions techniques for the nonrelativistic Boltzmann equation, it is shown that there exists a global mild solution to the Cauchy problem for the relativistic Boltzmann equation with the assumptions of the relativistic scattering cross section including some relativistic hard interactions and the initial data satifying finite mass, ``inertia'', energy and entropy.

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