National Natural Science Foundation of China [11871388]; Natural Science Foundation of Hubei Province, China [T2021009]; National Nature Science Foundation of China [12101534]; Natural Science Foundation of Shandong Province, China [ZR2021QA052]
机构署名:
本校为第一机构
院系归属:
数学与计算机学院
摘要:
This paper is concerned with the large time behavior of the solutions for 1D radiation hydrodynamic limit model without viscosity and its asymptotic stability of the viscous contact discontinuity wave under the smallness assumption of the strength of the contact wave and initial perturbations. The present pressure includes a fourth-order term about the absolute temperature from radiation effect which brings the main difficulty. Furthermore, the dissipative of the system is weaker for the lack of viscosity. All these make the problem more challenging. The prove is mainly based on the energy met...