Strong wave interactions, exact solutions and singularity formations for the compressible Euler equations
by Chen, Geng, Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST, 2010, 185 pages; 3427508

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.

 
AdviserRobin Carl Young
SchoolUNIVERSITY OF MASSACHUSETTS AMHERST
SourceDAI/B 71-12, p. , Dec 2010
Source TypeDissertation
SubjectsApplied mathematics; Mathematics; Plasma physics
Publication Number3427508
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