学术报告

Entropy inequality and energy dissipation of inertial Qian–Sheng model

发布人:发布时间: 2022-01-05

字体大小: 【小】 【中】 【大】

题目: Entropy inequality and energy dissipation of inertial Qian–Sheng model

 

报告人: 唐少君 副研究员(武汉理工大学)


时间:  202216日上午11:00-12:00


地点: 西大楼108报告厅


摘要: Entropy inequality and energy dissipation of inertial Qian–Sheng model Abstract: In this talk, we are concerned with the inertial Qian–Sheng model of nematic liquid crystals. We first derived the coefficients requirements from the entropy inequality, which is insufficient to guarantee energy dissipation. Then a novel Condition (H) is introduced to ensure the energy dissipation. It is proved that when both the entropy inequality and Condition (H) are obeyed, the local in time smooth solutions exist for large initial data. Furthermore, we also extended the solutions globally in time and obtained the decay of solutions on some additional conditions. This work is jointed with Ning Jiang, Yi-Long Luo and Yang-Jun Ma.


邀请人:栗付才 老师