The initial value problem for a multi‐dimensional radiation hydrodynamics model with viscosity | Zendy

Wang Wenjun | Zendy; Xie Feng | Zendy

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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.

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