Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics

作者：Wang, Wenjun; Xie, Feng; Yang, Xiongfeng^*

来源：Journal of Differential Equations, 2018, 264(4): 2936-2969.

DOI：10.1016/j.jde.2017.11.007

• Radiation hydrodynamics
• P1-approximation
• Global existence
• Decay rates

This paper is concerned with the global existence and large time behavior of solutions to Cauchy problem for a P1-approximation radiation hydrodynamics model. The global-in-time existence result is established in the small perturbation framework around a stable radiative equilibrium states in Sobolev space H-4(R-3). Moreover, when the initial perturbation is also bounded in L-1(R-3), the L-2-decay rates of the solution and its derivatives are achieved accordingly. The proofs are based on the Littlewood-Paley decomposition techniques and elaborate energy estimates in different frequency regimes.

• 出版日期2018-2-15
• 单位上海理工大学; 上海交通大学