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Date of Award
9-2010
Access Type
Campus Access
Document type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics and Statistics
First Advisor
Robin Young
Second Advisor
Bruce Turkington
Third Advisor
Panos Kevrekidis
Subject Categories
Applied Mathematics | Mathematics | Plasma and Beam Physics
Abstract
We consider strong wave propagation in the generalized compressible Euler equations. Our results include pairwise interactions of nonlinear waves, smooth wave propagation, formation of gradient blowup and several exact examples. In particular, we directly generalize P.Lax 's gradient blowup results for conservation laws with two variables to the generalized compressible Euler equations.
DOI
https://doi.org/10.7275/5675390
Recommended Citation
Chen, Geng, "Strong Wave Interactions, Exact Solutions And Singularity Formations For The Compressible Euler Equations" (2010). Doctoral Dissertations 1896 - February 2014. 218.
https://doi.org/10.7275/5675390
https://scholarworks.umass.edu/dissertations_1/218