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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Generalized Rankine -- Hugoniot relations for shocks in dispersive media

## Generalized Rankine -- Hugoniot relations for shocks in dispersive mediaAdd to your list(s) Download to your calendar using vCal - Sergey Gavrilyuk (Aix Marseille Université)
- Wednesday 13 July 2022, 11:30-12:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. HY2W01 - Modulation theory and dispersive shock waves The Euler equations of compressible fluids, hyperelasticity, MHD , etc. are typical examples of hyperbolic systems of conservation laws admitting shock solutions, i.e. discontinuous solutions satisfying the governing equations in a weak sense. The corresponding equations of motion are the Euler-Lagrange equations for a functional which is the Hamilton action. The dispersive regularizations of these models based on the modification of the corresponding Lagrangian aim at avoiding discontinuities by replacing them by “dispersive shocks”, i.e. by strongly oscillating non stationary fronts. We show that in some cases dispersive regularization produces solutions that are “almost” classical shocks. Such solutions must necessarily satisfy special jump relations (generalized Rankine-Hugoniot relations) that follow naturally from the variational structure of the governing equations. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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