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Global Existence of Smooth Solutions for the Diffusion Approximation Model of General Gas in Radiation Hydrodynamics

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摘要 In this paper,we consider the 3-D Cauchy problem for the diffusion approximation model in radiation hydrodynamics.The existence and uniqueness of global solutions is proved in perturbation framework,for more general gases including ideal poly tropic gas.Moreover,the optimal time decay rates are obtained for higher-order spatial derivatives of density,velocity,temperature,and radiation field.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第10期1855-1873,共19页 数学学报(英文版)
基金 Supported by Institute of Mathematics,State Academy of Sciences,Pyongyang,Democratic Peoples Republic of Korea。

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