Measure-valued solutions to the complete Euler system

被引:30
|
作者
Brezina, Jan [1 ]
Feireisl, Eduard [2 ]
机构
[1] Tokyo Inst Technol, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528550, Japan
[2] Acad Sci Czech Republ, Inst Math, Zitna 25, CZ-11567 Prague 1, Czech Republic
基金
欧洲研究理事会;
关键词
Euler system; measure-valued solution; weak-strong uniqueness; perfect gas; WEAK-STRONG UNIQUENESS; CONSERVATION-LAWS; EQUATIONS; STABILITY; FLUIDS;
D O I
10.2969/jmsj/77337733
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessarily coincides with a classical one on its life span provided they share the same initial data.
引用
收藏
页码:1227 / 1245
页数:19
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