ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

doi:10.1007/s10473-024-0305-x

数学物理学报(英文版) ›› 2024, Vol. 44 ›› Issue (3): 851-864.doi: 10.1007/s10473-024-0305-x

ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

Zhong Tan^1,2, Xinliang Li^3,4, Hui Yang^1,*

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. Shenzhen Research Institute of Xiamen University, Shenzhen 518057, China;
3. School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China;
4. College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China

收稿日期:2022-03-28 修回日期:2022-09-12 出版日期:2024-06-25 发布日期:2024-05-21

ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

Zhong Tan^1,2, Xinliang Li^3,4, Hui Yang^1,*

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, China;
2. Shenzhen Research Institute of Xiamen University, Shenzhen 518057, China;
3. School of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, China;
4. College of Physics and Optoelectronic Engineering, Shenzhen University, Shenzhen 518060, China

Received:2022-03-28 Revised:2022-09-12 Online:2024-06-25 Published:2024-05-21
Contact: *Hui Yang,E-mail:yanghui666yh@163.com
About author:Zhong Tan,E-mail:tan85@xmu.edu.cn; Xinliang Li,E-mail:lixinliangmaths@163.com
Supported by:
Tan's research was support by the NSFC (12071391, 12231016) and the Guangdong Basic and Applied Basic Research Foundation (2022A1515010860). Li's research was support by the China Postdoctoral Science Foundation (2023M742401).

摘要/Abstract

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.

关键词: compressible nematic liquid crystal flow, weak solutions, energy conservation

Abstract: 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.

Key words: compressible nematic liquid crystal flow, weak solutions, energy conservation

中图分类号:

76N10

Zhong Tan, Xinliang Li, Hui Yang. ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW[J]. 数学物理学报(英文版), 2024, 44(3): 851-864.

Zhong Tan, Xinliang Li, Hui Yang. ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW[J]. Acta mathematica scientia,Series B, 2024, 44(3): 851-864.

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ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

ENERGY CONSERVATION FOR THE WEAK SOLUTIONS TO THE 3D COMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOW

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