Global Well-posedness of Non-isentropic Navier-Stokes Equation with BV Initial Data
发布时间：2023年12月11日
浏览次数：1498
发布者: He Liu
主讲人： Xiongtao Zhang(Wuhan University)
活动时间： 从 2023-12-14 16:00 到 17:00
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
I will talk about some recent results about the non-isentropic Navier-Stokes equation with BV initial data. The key ingredient is the short-time Green’s function, which is constructed by the wave-train method (based on Laplace transform). The short-time Green’s function plays an important role in the establish of the well-posedness and regularity in the local-in-time weak solution. Then, by combining the short-time and the long-time Green’s function, one obtains the global well-posedness and large-time behavior of the weak solution.
