Off-campus UMass Amherst users: To download campus access dissertations, please use the following link to log into our proxy server with your UMass Amherst user name and password.

Non-UMass Amherst users: Please talk to your librarian about requesting this dissertation through interlibrary loan.

Dissertations that have an embargo placed on them will not be available to anyone until the embargo expires.

Date of Award

9-2010

Document Type

Campus Access

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.

Share

COinS