Young Measures Generated by Ideal Incompressible Fluid Flows
Young Measures Generated by Ideal Incompressible Fluid Flows
复制标题
理想不可压缩流体流动产生的年轻测度
DOI：
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发表时间：
2012
影响因子：
2.5
通讯作者：
E. Wiedemann
中科院分区：
文献类型：
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作者：
L. Székelyhidi;E. Wiedemann
DiPerna和Majda（Commun Math Phys 108（4）：667-689，1987）在他们的开创性论文中引入了不可压缩欧拉方程的测度值解的概念，以捕捉近似解极限中存在的复杂现象，例如振荡的持续性和浓度的发展。此外，他们给出了几个明确的例子来展示这种现象。本文证明了任何测度值解都可以由一列精确弱解生成。特别是这引起了一个非常大的，可以说是太大了，一套弱解的不可压缩欧拉方程。
In their seminal paper, DiPerna and Majda (Commun Math Phys 108(4):667–689, 1987) introduced the notion of a measure-valued solution for the incompressible Euler equations in order to capture complex phenomena present in limits of approximate solutions, such as persistence of oscillation and development of concentrations. Furthermore, they gave several explicit examples exhibiting such phenomena. In this paper we show that any measure-valued solution can be generated by a sequence of exact weak solutions. In particular this gives rise to a very large, arguably too large, set of weak solutions of the incompressible Euler equations.
影响因子：
2.5
作者：
De Lellis, Camillo;Szekelyhidi, Laszlo, Jr.
通讯作者：
Szekelyhidi, Laszlo, Jr.