报告人：徐江教授

            南京航空航天大学

题目：Gevrey analyticity and decay for the compressible Navier-Stokes system with capillarity

时间：2018年07月15日下午16:30

地点：海韵数理楼661

摘要：In this talk, we are concerned with an isothermal model of viscous and capillary compressible fluids derived by J. E. Dunn and J. Serrin (1985), which can be used as a phase transition model. In contrast with usual compressible Navier-Stokes equations, there is a smoothing effect on the density that comes from the capillary terms. We establish the global existence of solutions in more general critical L^p spaces, which indicates the evolution of Gevrey analyticity. As a consequence, the time-decay estimates for any derivatives of solutions are also obtained in critical Besov spaces. This is a collaboration with F. Charve and R. Danchin.

报告人简介：徐江，博士，南京航空航天大学教授、博士生导师。2007年博士毕业于浙江大学；先后访问日本Kyushu大学、法国Universite Paris-Est（巴黎十二大）、德国Universität Würzburg（维尔茨堡大学）等。入选教育部新世纪优秀人才支持计划。主要研究领域是非线性偏微分方程的数学理论，论文发表在 《Arch. Rational Mech. Anal.》、《J. Math. Pures Appl.》、《SIAM J. Math. Anal.》等。

联系人：王焰金教授

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