Fields institute communications - 9781493998081 - nonlinear dispersive partial differential equations and inverse scattering (fields institute communications, band 83) (4 Ergebnisse)
Sprache: Englisch
Verlag: Springer, 2020
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Sprache: Englisch
Verlag: Springer, 2020
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This volume contains lectures and invited papers from the Focus Program on 'Nonlinear Dispersive Partial Differential Equations and Inverse Scattering' held at the Fields Institute from July 31-August 18, 2017. The conference brought together researc…hers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift's Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing nonlinear Schrödinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as theKadomtsev-PetviashviliII equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions.The Focus Program coincided with the fiftieth anniversary of the discovery by Gardner, Greene, Kruskal and Miura that the Korteweg-de Vries (KdV) equation could be integrated by exploiting a remarkable connection between KdV and the spectral theory of Schrodinger's equation in one space dimension. This led to the discovery of a number of completely integrable models of dispersive wave propagation, including the cubic NLS equation, and the derivative NLS equation in one space dimension and the Davey-Stewartson, Kadomtsev-Petviashvili and Novikov-Veselov equations in two space dimensions. These models have been extensively studied and, in some cases, the inverse scattering theory has been put on rigorous footing. It has been used as a powerful analytical tool to study global well-posedness and elucidate asymptotic behavior of the solutions, including dispersion, soliton resolution, and semiclassical limits.
Weitere BilderSprache: Englisch
Verlag: Springer, 2020
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Taschenbuch. Zustand: Neu. Nonlinear Dispersive Partial Differential Equations and Inverse Scattering | Peter D. Miller (u. a.) | Taschenbuch | x | Englisch | 2020 | Springer | EAN 9781493998081 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]co…m | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer Nature, 2020
- Softcover
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Paperback. Zustand: Brand New. 538 pages. 9.25x6.10x1.22 inches. In Stock.
