Speaker: Prof.Xiongfeng Yang (Shanghai jiaoTong University )

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

Time: Mon, May.28, 2018 , PM:2:30-3:10.

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

    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.