PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Xiantao Li, Yuxi Zheng, Kris Jenssen, Jinchao Xu.

Title:Gradient Blowup for Compressible Euler and Nonlinear Wave Equations
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Geng Chen, Department of Mathematics, Penn State
Abstract:
We consider smooth solutions and their gradient blowup for 1D compressible Euler system and 1D nonlinear wave equations. We provide quantitative measures of compression and rarefaction in smooth solutions. By studying how these develop along characteristics we obtain a Ricatti-type system which provides blowup results for the Euler system. These results generalize P.Lax' gradient blowup results from 1964. We also discuss applications in gas dynamics, transverse MHD and nonlinear elastic equations. This work is part of my Ph.D thesis in University of Massachusetts, under the direction Prof. Robin Young.

Room Reservation Information

Room Number:MB106
Date:09 / 24 / 2010
Time:03:35pm - 04:25pm