关于举行上海交通大学杨雄峰教授学术报告会的通知

报告题目: Global Existence and Decay Rate of the solution for the Approximation Model Arising from Radiation Hydrodynamics

报 告 人: 杨雄峰 教授（上海交通大学）

报告时间: 2018年5月28日（星期一）下午14:30-15:10

报告地点：4号楼4318室

邀 请 人: 温焕尧 教授

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数学学院

2018年5月25日

报告摘要:

    This paper is concerned with the global existence and large time behavior of solutions to Cauchy problem for a P1-approximation radiation hydrodynamics model as well as the pointwise estimates about the solution for approximation radiation hydrodynamic model with damping. The global-in-time existence result is established in the small perturbation framework around a stable radiative equilibrium states in Sobolev space $H^4(\mathbb{R}^3)$. Moreover, when the initial perturbation is also bounded in $L^1(\mathbb{R}^3)$, 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. This is a jointed work with Shijin Deng, Wenjun Wang and Feng Xie.