演讲人: 李海梁 教授

讲座时间: 2014年12月3日（星期三）下午4：00-5：00

讲座地点: 信息楼0257会议室

讲座内容: 摘要： The isentropic compressible isentropic Navier-Stokes equations (CNS) are investigated in 2D and 3D, where the viscosity coefficients are allowed to possibly depend on the fluid density. The typical model for the CNS is the viscous Saint-Venant system in the description of the motion for shallow water. Such viscous compressible models with density-dependent viscosity coefficients and its variants appear in geophysical flows. As the viscosity coefficients are constants, we have the classical compressible Navier-Stokes equations.The main purpose of this talk aims at the existence and behaviors of solutions to the CNS with (partially) density-dependent viscosity coefficients in the appearance of vacuum, including the initial value problem and the free boundary value problem for the CNS. 演讲人简介：李海梁，教授，博士生导师，国家杰出青年基金获得者，北京市教委“长城学者”。现任首都师范大学数学科学学院副院长，《数学物理学报》（中、英文版）编委。在《Arch. Ration. Mech. Anal.》, 《Comm. Math. Phys.》, 《SIAM Math. Anal.》, 《J. Diff. Eqns》, 《Math. Models Meth. Appl. Sci.》等著名期刊上发表论文70余篇，并曾获日本JSPS、奥地利FWF资助研究，以及霍英东基金、教育部新世纪、北京科技新星等多项国内人才计划支持。 欢迎各位老师和您的研究生参加！