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Vanishing viscosity limit for the compressible Navier–Stokes system via measure-valued solutions
Nonlinear Differential Equations and Applications (NoDEA) ( IF 1.1 ) Pub Date : 2020-10-21 , DOI: 10.1007/s00030-020-00659-3
Danica Basarić

We identify a class of measure-valued solutions of the barotropic Euler system on a general (unbounded) spatial domain as a vanishing viscosity limit for the compressible Navier–Stokes system. Then we establish the weak (measure-valued)–strong uniqueness principle, and, as a corollary, we obtain strong convergence to the Euler system on the lifespan of the strong solution.



中文翻译:

通过测量值解决方案,可压缩的Navier–Stokes系统的粘度极限逐渐消失

我们将一类正压力欧拉系统在一般(无界)空间域上的度量值解确定为可压缩Navier–Stokes系统的消失粘度极限。然后,我们建立了弱(度量值)-强唯一性原理,并且作为推论,我们在强解的生命周期中获得了对Euler系统的强收敛性。

更新日期:2020-10-30
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