Nonlinear Dispersive Equations
Inverse Scattering and PDE Methods
Nonlinear Dispersive Equations are partial differential equations that naturally arise in physical settings where dispersion dominates dissipation, notably hydrodynamics, nonlinear optics, plasma physics and Bose-Einstein condensates. The topic has traditionally been approached in different ways, from the perspective of modeling of physical phenomena, to that of the theory of partial differential equations, or as part of the theory of integrable systems.This monograph offers a thorough introduction to the topic, uniting the modeling, PDE and integrable systems approaches for the first time in book form. The presentation focuses on three unive…
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Produktdetails
Weitere Autoren: Saut, Jean-Claude
- ISBN: 978-3-030-91426-4
- EAN: 9783030914264
- Produktnummer: 38489466
- Verlag: Springer International Publishing
- Sprache: Englisch
- Erscheinungsjahr: 2022
- Seitenangabe: 600 S.
- Masse: H24.1 cm x B16.0 cm x D3.8 cm 1'057 g
- Auflage: 1st ed. 2021
- Abbildungen: HC runder Rücken kaschiert
- Gewicht: 1057
Über den Autor
Christian Klein is Professor of mathematical physics at the Université de Bourgogne in Dijon, France, and a senior member of the Institut Universitaire de France. He works on nonlinear dispersive PDEs, numerical approaches, integrable systems, applied algebraic geometry and general relativity. His main interest is the numerical study of zones of rapid oscillations in the solutions to nonlinear dispersive equations, so-called dispersive shock waves, and a loss of regularity, a so-called blow-up of the solutions.Jean-Claude Saut is Emeritus Professor in the Laboratoire de Mathématiques of the Université Paris-Saclay. He works on the analysis of nonlinear dispersive equations and on their rigorous derivation as asymptotic models of general systems. His recent works concern a general class of Boussinesq systems, the analysis of weakly dispersive perturbations of the Burgers equation, and higher order models in the modulation regime of water waves.
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