Qualitative Properties of Dispersive PDEs, Georgiev

Автор: Erdo?an
Название: Dispersive Partial Differential Equations
ISBN: 1107149045 ISBN-13(EAN): 9781107149045
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: Provides a self-contained and accessible introduction to nonlinear dispersive partial differential equations (PDEs) for graduate or advanced undergraduate students in mathematics, engineering, and physical sciences. The book can be used for self-study, or for teaching a semester-long introductory graduate course in PDEs.

Автор: Klein Christian, Saut Jean-Claude
Название: Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods
ISBN: 3030914267 ISBN-13(EAN): 9783030914264
Издательство: Springer
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Цена: 139750.00 T
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Описание: 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 "universal" families of physically relevant equations endowed with a completely integrable member: the Benjamin–Ono, Davey–Stewartson, and Kadomtsev–Petviashvili equations. These asymptotic models are rigorously derived and qualitative properties such as soliton resolution are studied in detail in both integrable and non-integrable models. Numerical simulations are presented throughout to illustrate interesting phenomena. By presenting and comparing results from different fields, the book aims to stimulate scientific interactions and attract new students and researchers to the topic. To facilitate this, the chapters can be read largely independently of each other and the prerequisites have been limited to introductory courses in PDE theory.

Автор: Koch, Herbert Tataru, Daniel Visan, Monica
Название: Dispersive equations and nonlinear waves
ISBN: 303480735X ISBN-13(EAN): 9783034807357
Издательство: Springer
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Цена: 37260.00 T
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Описание: Dispersive Equations and Nonlinear Waves

Автор: Linares, Felipe Ponce, Gustavo
Название: Introduction to nonlinear dispersive equations
ISBN: 1493921800 ISBN-13(EAN): 9781493921805
Издательство: Springer
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Цена: 55890.00 T
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Описание: Introduction to Nonlinear Dispersive Equations

Автор: Ben Abdallah Naoufel; Anton Arnold; Pierre Degond;
Название: Dispersive Transport Equations and Multiscale Models
ISBN: 1461264731 ISBN-13(EAN): 9781461264736
Издательство: Springer
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Цена: 46570.00 T
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Описание: IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components.

Автор: Peter D. Miller; Peter A. Perry; Jean-Claude Saut;
Название: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
ISBN: 1493998056 ISBN-13(EAN): 9781493998050
Издательство: Springer
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Цена: 93160.00 T
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Описание: 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 researchers 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 Schr?dinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II 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.

Автор: Miller Peter D., Perry Peter A., Saut Jean-Claude
Название: Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
ISBN: 1493998080 ISBN-13(EAN): 9781493998081
Издательство: Springer
Цена: 121110.00 T
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Описание: Fifty years of KdV: an integrable system (P. Deift).- Wave turbulence and complete integrability (P. Gerard).- Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST, and PDE (J.-C. Saut).- Inverse scattering and global well-posedness in one and two dimensions (P. Perry).- Dispersive asymptotics for linear and integrable equations by the d-bar steepest descent method (M. Dieng, K. McLaughin, P. Miller).- Instability of solutions in the 2d Zakharov-Kuznetzov equation (L. Farah, J. Holmer, S. Roudenko).- On the nonexistence of local, gauge-invariant Birkhoff coordinates for focussing NLS equation (T. Kappeler, P. Topalov).- Extended decay properties for generalized BBM equation (C. Kwok, C. Munoz).- Ground state solutions of the complex Gross-Pitaevskii equation (T. Mizumachi).- Inverse scattering for the massive Thirring model (D. Pelinovsky, A. Saalman).- Anomolous (rogue) waves in nature, their recurrence, and the nonlinear Schrodinger model (P. Santini, P. Grinevich).

Автор: Gazzola
Название: Geometric Properties for Parabolic and Elliptic PDE`s
ISBN: 3319415360 ISBN-13(EAN): 9783319415369
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (existence, uniqueness, stability and regularity of solutions of initial/boundary value problems) before focusing on the topological and/or geometric aspects. These topics interact with many other areas of research and rely on a wide range of mathematical tools and techniques, both analytic and geometric. The Italian and Japanese mathematical schools have a long history of research on PDEs and have numerous active groups collaborating in the study of the geometric properties of their solutions.

Автор: Ferone
Название: Geometric Properties for Parabolic and Elliptic PDE`s
ISBN: 3030733653 ISBN-13(EAN): 9783030733650
Издательство: Springer
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Цена: 93160.00 T
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Описание: This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

Автор: Ferone Vincenzo, Kawakami Tatsuki, Salani Paolo
Название: Geometric Properties for Parabolic and Elliptic Pde`s
ISBN: 3030733629 ISBN-13(EAN): 9783030733629
Издательство: Springer
Цена: 93160.00 T
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Описание: This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

Автор: Rolando Magnanini; Shigeru Sakaguchi; Angelo Alvin
Название: Geometric Properties for Parabolic and Elliptic PDE`s
ISBN: 8847056128 ISBN-13(EAN): 9788847056121
Издательство: Springer
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Цена: 111790.00 T
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Описание: This inclusive study of projective geometry covers analytic and synthetic methods, takes in linear, quadratic, cubic and quartic figures in various dimensions, and deals at length with refinements of basic theories, including those of Pappus and Desargues.

Автор: Gazzola Filippo, Ishige Kazuhiro, Nitsch Carlo
Название: Geometric Properties for Parabolic and Elliptic Pde`s: Gppepdes, Palinuro, Italy, May 2015
ISBN: 3319823795 ISBN-13(EAN): 9783319823799
Издательство: Springer
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Цена: 149060.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These topics interact with many other areas of research and rely on a wide range of mathematical tools and techniques, both analytic and geometric. The Italian and Japanese mathematical schools have a long history of research on PDEs and have numerous active groups collaborating in the study of the geometric properties of their solutions.