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The initial value problem for a multi‐dimensional radiation hydrodynamics model with viscosity
Author(s) -
Wang Wenjun,
Xie Feng
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1398
Subject(s) - viscosity , mathematics , initial value problem , energy method , cauchy problem , viscosity solution , energy (signal processing) , radiation , value (mathematics) , mathematical analysis , physics , thermodynamics , statistics , optics
In this paper, we study the existence and time‐asymptotic behavior of solutions to the Cauchy problem for the equations of radiation hydrodynamics with viscosity in ℝ 3 . The global existence of the solutions is obtained by using the energy method. With more elaborate energy estimates, we also give some decay rates of the solutions. Copyright © 2010 John Wiley & Sons, Ltd.