Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow

被引：0
作者：
Tan, Zhong [1 ,2 ]
Li, Xinliang [3 ,4 ]
Yang, Hui [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Xiamen Univ, Shenzhen Res Inst, Shenzhen 518057, Peoples R China
[3] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China
[4] Shenzhen Univ, Coll Phys & Optoelect Engn, Shenzhen 518060, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 03期
基金：
中国博士后科学基金;
关键词：
compressible nematic liquid crystal flow; weak solutions; energy conservation; DEPENDENT INCOMPRESSIBLE-FLOW; REGULARITY CRITERION; CONSTITUTIVE EQUATIONS; ONSAGERS CONJECTURE; EULER; DISSIPATION;
D O I：
10.1007/s10473-024-0305-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish some regularity conditions on the density and velocity fields to guarantee the energy conservation of the weak solutions for the three-dimensional compressible nematic liquid crystal flow in the periodic domain.
引用
收藏
页码：851 / 864
页数：14
相关论文
共 62 条
[1]   ENERGY CONSERVATION FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS WITH VACUUM [J].
Akramov, Ibrokhimbek ;
Debiec, Tomasz ;
Skipper, Jack ;
Wiedemann, Emil .
ANALYSIS & PDE, 2020, 13 (03) :789-811
[2]   Onsager's Conjecture for the Incompressible Euler Equations in Bounded Domains [J].
Bardos, Claude ;
Titi, Edriss S. .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 228 (01) :197-207
[3]  
Beris A.N., 1994, THERMODYNAMICS FLOWI
[4]   Dissipative Euler Flows with Onsager-Critical Spatial Regularity [J].
Buckmaster, Tristan ;
De Lellis, Camillo ;
Szekelyhidi, Laszlo, Jr. .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2016, 69 (09) :1613-1670
[5]   Anomalous dissipation for 1/5-Holder Euler flows [J].
Buckmaster, Tristan ;
De Lellis, Camillo ;
Isett, Philip ;
Szekelyhidi, Laszlo, Jr. .
ANNALS OF MATHEMATICS, 2015, 182 (01) :127-172
[6]  
Chandrasekhar S., 1992, Liquid Crystals, V2nd, DOI DOI 10.1017/CBO9780511622496
[7]   ENERGY EQUALITY IN COMPRESSIBLE FLUIDS WITH PHYSICAL BOUNDARIES [J].
Chen, Ming ;
Liang, Zhilei ;
Wang, Dehua ;
Xu, Runzhang .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (02) :1363-1385
[8]   A note on regularity criterion for 3D compressible nematic liquid crystal flows [J].
Chen, Xiaochun ;
Fan, Jishan .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
[9]  
Chen XL, 2021, BOUND VALUE PROBL, V2021, DOI 10.1186/s13661-021-01500-1
[10]   Energy conservation and Onsager's conjecture for the Euler equations [J].
Cheskidov, A. ;
Constantin, P. ;
Friedlander, S. ;
Shvydkoy, R. .
NONLINEARITY, 2008, 21 (06) :1233-1252
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