Global existence for weak solutions of the Cauchy problem in a model of radiation hydrodynamics

作者：Ducomet Bernard; Necasova Sarka^*

来源：Journal of Mathematical Analysis and Applications, 2014, 420(1): 464-482.

DOI：10.1016/j.jmaa.2014.05.043

• Radiation hydrodynamics
• Cauchy problem
• Navier-Stokes-Fourier system
• Weighted spaces
• Weak solution

We consider a model based on the Navier-Stokes-Fourier system coupled to a transport equation, recently proposed in order to describe the thermal effects in low Mach number radiative flows. We establish global-in-time existence in weighted spaces for the associated Cauchy problem in the framework of weak solutions.

• 出版日期2014-12-1
• 单位中国地震局