报告题目：Energy equality in the isentropic compressible Navier-Stokes equations
allowing vacuum
报告人： 叶嵎林
工作单位：河南大学
报告时间：2023-4-7 10:00—12:00
会议地点：我院408
报告摘要：It is well-known that a Leray-Hopf weak solution in $L^4 (0,T; L^4(\mathbb{T}^{3}))$ for the incompressible Navier-Stokes system is persistence of energy due to Lions. In this talk, we will show that the Lions's condition for energy balance is also valid for the weak solutions of the isentropic compressible Navier-Stokes equations allowing vacuum under suitable integrability conditions on the density and its derivative. This further allows us to establish various sufficient conditions implying energy equality for the compressible flow as well as the non-homogenous incompressible Navier-Stokes equations, which is an improvement of corresponding results obtained by Yu in [ Arch. Ration. Mech. Anal., 225 (2017)]and answers a question posed by Liang in [Proc. Roy. Soc. Edinburgh Sect. A (2020)]. This is a joint work with Yanqing Wang and Wei Wei.
报告人简介：叶嵎林，河南大学教授。研究方向主要为可压缩流体相关理论，在JDE、JMFM，CMS、ZAMP、JEE等学术期刊发表论文多篇，主持国家自然基金青年基金1项，中国博士后面上项目1项，河南省自然科学基金面上项目1项等。
