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L. Miguel Rodrigues (Université de Rennes 1)
Wednesday 26 October 2022, 14:30-15:30
Discontinuous waves of hyperbolic systems, a frontier in nonlinear wave stability
⚠️ Important: HYD2 - Dispersive hydrodynamics: mathematics, simulation and experiments, with applications in nonlinear waves
- 👤 Speaker: L. Miguel Rodrigues (Université de Rennes 1)
- 📅 Date & Time: Wednesday 26 October 2022, 14:30 - 15:30
- 📍 Venue: Seminar Room 1, Newton Institute
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Abstract
The talk will begin with a gentle introduction to some of the current frontiers of our understanding of nonlinear stability of traveling waves of partial differential equations, especially on how spectral stability implies nonlinear stability and which kind of dynamics may be expected.In a second part, it will focus on a specific part of the frontier, the stability of discontinuous waves of hyperbolic systems, and show a few significant steps obtained by the author with respectively Vincent Duchêne (Rennes) and Gregory Faye (Toulouse).
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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