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Date of Award


Access Type

Campus Access

Document type


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


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.