报告人：李海梁 (首都师范大学)

报告题目:Non-existence of finite energy solution to Compressible Navier-Stokes equations

报告摘要:It is an open problem to show the well-posedness of classical solution to compressible Navier-Stokes equations with the density  possibly containing  vacuum, although the same problem has been proved by Nash and Serrin in energy space in 1960s when the vaccum is excluded. In this talk, we shall prove that there does not exit any classical solution with density being compact supported to the Cauchy problem for one-dimensional compressible Navier-Stokes equaions in energy space so long as the initial data satisfy some properties. 

报告人简介：李海梁教授，首都师范大学数学科学学院副院长，国家杰出青年基金获得者，第十一届霍英东基金会高校青年教师基金获得者，北京市教委“学术创新人才”，长期从事非线性偏微分方程的研究，主要涉及流体方程（包括经典流体方程和量子流体方程），非线性薛定谔方程， 动理学方程，带耗散的双曲型方程， 以及非线性热粘弹性方程等方面。在ARMA,CMP,SIAM J.M.A 等国际一流杂志发表学术论文数十篇。

报告时间: 2016年12月29日上午9:00-10:00

报告地点: 科技楼南楼702室