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题目：Local weak and strong solution to the isentropic compreesible Navier-Stokes equations
报告人：黄祥娣 研究员 （中科院）
时间：2021年10月26号下午2：30-3：30
地点：腾讯会议   会议ID：658 381 387
摘要：  In this talk, we present two recent works on the isentropic compressible Navier-Stokes equations. First, we prove the local existence and uniqueness of the strong solutions, where the initial compatibility condition proposed by Choe-Kim is removed under suitable sense.Secondly, for periodic domain and half-space, we establish the existence of weak solutions with higher regularity of the three dimensional compressible isentropic Navier-Stokes equations in small time for the adiabatic exponent $\gamma>1$ in the presence of vacuum. It can be viewed as a local version of Hoff's work, and also extends the result of Desjardins by removing the assumption of $\gamma>3$.

联系人：牛冬娟

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