王者体育

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科学研究
报告题目:

vacuum free boundary problem of the full compressible navier-stokes equations

报告人:

王者体育yuanyuan boshi(huananshifandaxue)

报告时间:

报告地点:

王者体育tengxunhuiyi id: 503 931 182

报告摘要:

王者体育this talk focus on the motions of the nonisentropic viscous gas surrounded by the vacuum, which is modeled by the free boundary problem of the full compressible navier-stokes equations. the local-in-time existence and uniqueness of strong solutions in three-dimensional space are proved. the vanishing density and temperature condition is imposed on the free boundary, and the entropy is bounded.

we will also introduce a class of globally defined large solutions to the free boundary problem of compressible full navier-stokes equations with constant shear viscosity, vanishing bulk viscosity and heat conductivity. we establish such solutions with initial data perturbed around the self-similar solutions when the thermodynamic coefficient γ>7/6. when 7/6<γ<7/3, solutions with bounded entropy can be constructed. if, in addition, in the case when 11/9<γ<5/3, we can construct a solution as a global-in-time small perturbation of the self-similar solution and the entropy is uniformly bounded in time.

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