Electron. J. Differential Equations, Vol. 2023 (2023), No. 60, pp. 1-21.

Space-time behavior for radiative hydrodynamics model with or without heat conduction

Mengqian Liu, Zhigang Wu

Abstract:
We consider space-time behaviors of smooth solutions for the radiative hydrodynamics system with or without heat conduction in the whole space \(R^3\) by using Green's function method. This result exhibits the generalized Huygens' principle as the classical compressible Navier-Stokes equations [3,26], which is different from the Hamer model for radiating gases in [36].

Submitted March 2, 2023. Published September 15, 2023.
Math Subject Classifications: 35Q30, 35B40, 35Q35.
Key Words: Green's function; radiative hydrodynamics model; space-time estimate.
DOI: 10.58997/ejde.2023.60

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Mengqian Liu
Department of Mathematics
Donghua University
Shanghai, 201620, China
email: hbulmq@163.com
Zhigang Wu
Department of Mathematics
Donghua University
Shanghai, 201620, China
email: zgwu@dhu.edu.cn

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