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Global existence of smooth solutions for the compressible viscous fluid flow with radiation in 3

Hyejong OHakho HongJongsung Kim — 2023

Applications of Mathematics

This paper is concerned with the 3-D Cauchy problem for the compressible viscous fluid flow taking into account the radiation effect. For more general gases including ideal polytropic gas, we prove that there exists a unique smooth solutions in [ 0 , ) , provided that the initial perturbations are small. Moreover, the time decay rates of the global solutions are obtained for higher-order spatial derivatives of density, velocity, temperature, and the radiative heat flux.

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