Weak-Strong Uniqueness in Fluid Dynamics
Weak-Strong Uniqueness in Fluid Dynamics
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DOI：
10.1017/9781108610575.012
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发表时间：
2017-05
期刊：
影响因子：
--
通讯作者：
E. Wiedemann
中科院分区：
文献类型：
--
作者：
E. Wiedemann
本文综述了可压缩和不可压缩Euler方程和Navier-Stokes方程的弱-强唯一性的最新结果，并提出了一些新的见解。弱-强唯一性原理的重要性一方面来自于过去几年中欧拉方程的非唯一性的例子;另一方面来自于奇异极限的收敛问题，弱-强唯一性是一个很好的工具。
We give a survey of recent results on weak-strong uniqueness for compressible and incompressible Euler and Navier-Stokes equations, and also make some new observations. The importance of the weak-strong uniqueness principle stems, on the one hand, from the instances of non-uniqueness for the Euler equations exhibited in the past years; and on the other hand from the question of convergence of singular limits, for which weak-strong uniqueness represents an elegant tool.