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Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations

Source:   Author:  Date:2019-12-20  ClickTimes:

SpeakerGuilong Gui

Abstract:

Consideration in this talk is the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivatives to establish local well-posedness of this system. One of important advantages in the work is that we do not need any strong compatibility conditions on the initial data in terms of the acceleration. This is a joint work with Prof. Chao Wang and Dr. Yuxi Wang.

Time:December20th15:00

Venue:Lecture Hall, 1st Floor, School of Mathematics and Statistics

Speaker Introduction:

Guilong Gui is a Professor in the School of Mathematics, Northwest University. He mainly studies the mathematical theory of hydrodynamic equations. In 2011 he won the 10th Jia-qing Zhong Mathematics Award. He has published over 30 papers in the International Journal of mathematics such as Comm. Pure Appl. Math., Adv. Math., Comm. Math. Phys., Arch. Ration. Mech. Anal., J. Math. Pures. Appl, etc. He has presided 2 NSFC projects.