Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics
Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics
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DOI：
10.1016/j.jde.2017.11.007
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发表时间：
2018-02
影响因子：
2.4
通讯作者：
Wenjun Wang;Feng Xie;Xiongfeng Yang
中科院分区：
文献类型：
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作者：
Wenjun Wang;Feng Xie;Xiongfeng Yang
研究了一类P1-近似辐射流体力学模型Cauchy问题解的整体存在性和大时间性态。在Sobolev空间H4（R3）中稳定辐射平衡态周围的小扰动框架下建立了全局时间存在性结果。此外，当初始扰动也在L1（R3）中有界时，相应地得到了解及其导数的L2衰减率.的证据是基于Littlewood-Paley分解技术和精心制作的能量估计在不同的频率制度。
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.