Analytical Solutions to the Compressible Euler Equations
Published:2019-06-11

Title: Analytical Solutions to the Compressible Euler Equations
Time:     10:00-11:00, June18 Tuesday,2019
Location:   Room 2020, Mathematical Building
Lecturer:Manwai Yue  Assistant professor  the Education University of Hong Kong 

 

Abstract:
In this talk, we present rotational and self-similar solutions for the compressible Euler equations in R^N using the separation method and the Cartesian matrix method. Some blowup phenomena and global existences of the responding solutions can be determined. The analytical solutions provide concrete reference examples for vortices in computational fluid dynamics.

Introduction of Lectuer:
Dr. Yue is an assistant professor in the Department of Mathematics and Information Technology at the Education University of Hong Kong. He received a Ph.D. in Applied Mathematics from the Hong Kong Polytechnic University. His research interests include Symmetry Reduction, Euler-Poisson, Navier-Stokes, Camassa-Holm, Degasperis-Procesi, Blowup, Self-Similar Solutions, Construction of Solutions, Global Existence and Methodology of Mathematics. He has published over 50 refereed journal papers.

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