Energy conservation for the weak solutions to the incompressible inhomogeneous Euler-Korteweg equations

被引：0
|
作者：
Zhang, Zhipeng [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2022年 / 73卷 / 02期
关键词：
Incompressible inhomogeneous Euler-Korteweg equations; Besov space; Weak solution; Energy conservation; ONSAGERS CONJECTURE; ANOMALOUS DISSIPATION;
D O I：
10.1007/s00033-022-01702-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the principle of the energy conservation for the weak solutions of the incompressible inhomogeneous Euler-Korteweg equations. We provide two sufficient conditions on the regularity of the weak solutions in Besov space to ensure the energy conservation.
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页数：13
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