论文标题
关于完整Euler系统的测量值解决方案的注释
A Note on Measure-Valued Solutions to the Full Euler System
论文作者
论文摘要
我们构建了从相同的初始数据散发出的完整欧拉系统的两个特定解决方案。我们的目的是表明，这两种溶液的凸组合形成了一种测量值溶液，该溶液可能不会通过一系列弱溶液近似。结果，所有弱解的弱闭合（被视为参数化度量）并不等于所有测量值溶液的空间。这与不可压缩的Euler方程形成鲜明对比。
We construct two particular solutions of the full Euler system which emanate from the same initial data. Our aim is to show that the convex combination of these two solutions form a measure-valued solution which may not be approximated by a sequence of weak solutions. As a result, the weak* closure of the set of all weak solutions, considered as parametrized measures, is not equal to the space of all measure-valued solutions. This is in stark contrast with the incompressible Euler equations.
