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Strong wave interactions, exact solutions and singularity formations for the compressible Euler equations
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.
Subject Area
Applied Mathematics|Mathematics|Plasma physics
Recommended Citation
Chen, Geng, "Strong wave interactions, exact solutions and singularity formations for the compressible Euler equations" (2010). Doctoral Dissertations Available from Proquest. AAI3427508.
https://scholarworks.umass.edu/dissertations/AAI3427508