Qualitative Properties of Dispersive PDEs, Georgiev
Автор: Erdo?an Название: Dispersive Partial Differential Equations ISBN: 1107149045 ISBN-13(EAN): 9781107149045 Издательство: Cambridge Academ Рейтинг: Цена: 11088.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Linares, Felipe Ponce, Gustavo Название: Introduction to nonlinear dispersive equations ISBN: 1493921800 ISBN-13(EAN): 9781493921805 Издательство: Springer Рейтинг: Цена: 8384.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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: Ferone Название: Geometric Properties for Parabolic and Elliptic PDE`s ISBN: 3030733653 ISBN-13(EAN): 9783030733650 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance. In the first part, the authors introduce the notion of Gromov-Hausdorff distance between compact metric spaces, along with the corresponding distance for continuous maps, flows, and group actions on these spaces. They also focus on the stability of certain dynamical objects like shifts, global attractors, and inertial manifolds. Applications to dissipative PDEs, such as the reaction-diffusion and Chafee-Infante equations, are explored in the second part. This text will be of interest to graduates students and researchers working in the areas of topological dynamics and PDEs.
Автор: Lord Название: An Introduction to Computational Stochastic PDEs ISBN: 0521728525 ISBN-13(EAN): 9780521728522 Издательство: Cambridge Academ Рейтинг: Цена: 9029.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This comprehensive introduction to stochastic partial differential equations incorporates the effects of randomness into real-world models, offering graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. MATLAB (R) codes are included, so that readers can perform computations themselves and solve the test problems discussed.
Автор: Polyanin Andrei D., Zhurov Alexei I. Название: Separation of Variables and Exact Solutions to Nonlinear PDEs ISBN: 036748689X ISBN-13(EAN): 9780367486891 Издательство: Taylor&Francis Рейтинг: Цена: 22202.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The book is devoted to describing and applying methods of generalized and functional separation of variables used to find exact solutions of nonlinear PDEs. It also presents the direct method of symmetry reductions and its more general version.
Автор: Klein Christian, Saut Jean-Claude Название: Nonlinear Dispersive Equations: Inverse Scattering and PDE Methods ISBN: 3030914267 ISBN-13(EAN): 9783030914264 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 5589.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Dispersive Equations and Nonlinear Waves
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 Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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