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math.AP2015
The amplitude equation for weakly nonlinear reversible phase boundaries
Jean-François Coulombel, Sylvie Benzoni-Gavage
This technical note is a complement to an earlier paper [Benzoni-Gavage \& Rosini, Comput. Math. Appl. 2009], which aims at a deeper understanding of a basic model for propagating…
math.AP2015
The Mach stem equation and amplification in strongly nonlinear geometric optics
Jean-Francois Coulombel, Mark Williams
We study highly oscillating solutions to a class of weakly well-posed hyperbolic initial boundary value problems. Weak well-posedness is associated with an amplification phenomenon…