Special Session 25: Recent Progress on Mathematical Analysis of PDEs Arising in Fluid Dynamics
Global well-posedness and decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics
Wenjun Wang
University of Shanghai for Science and Technology Peoples Rep of China
Co-Author(s):
Abstract:
This talk is concerned with the global existence and large-time behavior of solutions to the Cauchy problem for a P1-approximation radiation hydrodynamics model. The global existence result is established for small perturbations in the Sobolev space around a stable radiative equilibrium state. Moreover, the decay rates of the solution and its derivatives are obtained accordingly.