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题目:The role of dissipative measure-valued solutions in the numerical analysis of compressible viscous fluids


报告人:佘邦伟 (Bangwei She) 捷克科学院数学研究所


摘要:We study convergence of a finite volume scheme for the compressible (barotropic) Navier–Stokes system. First we prove the energy stability and consistency of the scheme and show that the numerical solutions generate a dissipative measure-valued solution of the system. Then by the dissipative measure-valued-strong uniqueness principle, we conclude the convergence of the numerical solution to the strong solution as long as the latter exists. Numerical experiments for standard benchmark tests support our theoretical results.


时间: 2019年4月29日 18:00-19:00




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