4.6 Article

Global existence and asymptotic behavior of solutions for one-dimensional infrarelativistic model of a compressible viscous gas with radiation

Journal

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 46, Issue 10, Pages 11392-11419

Publisher

WILEY
DOI: 10.1002/mma.7760

Keywords

asymptotic behavior; global existence; infrarelativistic model; radiative transfer

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This paper investigates the global existence and asymptotic behavior of solutions in Hi(i=1,2,4) in the one-dimensional infrarelativistic model of a compressible viscous gas with radiation, under suitable hypotheses on the transport coefficients. It improves upon previous results in Qin et al. (2014).
In this paper, under suitable hypotheses on the transport coefficients, we prove the global existence and asymptotic behavior of solutions in Hi(i=1,2,4)(see below for its definition) for the one-dimensional infrarelativistic model of a compressible viscous gas with radiation. We have improved the previous results in Qin et al. (2014).

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