Global weak solutions to the relativistic BGK equation

Global weak solutions to the relativistic BGK equation
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DOI:
10.1080/03605302.2019.1669642
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发表时间:
2019-02
影响因子:
1.9
通讯作者:
J. Calvo;P. Jabin;J. Soler
J. Calvo;P. Jabin;J. Soler
中科院分区:
数学2区
文献类型:
--
作者:
J. Calvo;P. Jabin;J. Soler

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摘要 本文分析了相对论Boltzmann方程的相对论BGK模型弱解的全局存在性。该证明依赖于在控制初始条件的某些矩以及初始熵的最小假设下密度、速度和温度的强紧致性。
Abstract In this paper, the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness of the density, velocity, and temperature under minimal assumptions on the control of some moments of the initial condition together with the initial entropy.