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- W2338042437 abstract "We investigate the coupling between the nonlinear Schrodinger equation and the inviscid Burgers equation, a system which models interactions between short and long waves, for instance in fluids. Well-posedness for the associated Cauchy problem remains a difficult open problem, and we tackle it here via a linearization technique. Namely, we establish a linearized stability theorem for the Schrodinger--Burgers system, when the reference solution is an entropy--satisfying shock wave to Burgers equation. Our proof is based on suitable energy estimates and on properties of hyperbolic equations with discontinuous coefficients. Numerical experiments support and expand our theoretical results." @default.
- W2338042437 created "2016-06-24" @default.
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- W2338042437 date "2012-02-27" @default.
- W2338042437 modified "2023-09-26" @default.
- W2338042437 title "Linear stability of shock waves for the Schrodinger-Burgers system" @default.
- W2338042437 hasPublicationYear "2012" @default.
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