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Strong wave interactions, exact solutions and singularity formations for the compressible Euler equations

Posted on:2011-11-15Degree:Ph.DType:Dissertation
University:University of Massachusetts AmherstCandidate:Chen, GengFull Text:PDF
GTID:1440390002955245Subject:Applied Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Compressible euler equations, Strong wave, Wave propagation, Gradient blowup
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