The Complex WKB Method for Nonlinear Equations I, Victor P. Maslov; M.A. Shishkova; A.B. Sossinsky
Автор: P. Barut Название: Nonlinear Equations in Physics and Mathematics ISBN: 902770936X ISBN-13(EAN): 9789027709363 Издательство: Springer Рейтинг: Цена: 27944.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the NATO Advanced Study Institute, Istanbul, Turkey, August 1-13, 1977
Автор: Tatsien Li; Yi Zhou Название: Nonlinear Wave Equations ISBN: 3662557231 ISBN-13(EAN): 9783662557235 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan (including the global existence), which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms. Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems.
Purely based on the properties of solutions to the corresponding linear problems, the method simply applies the contraction mapping principle.
Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.
Автор: S.S. Chern Название: Seminar on Nonlinear Partial Differential Equations ISBN: 0387960791 ISBN-13(EAN): 9780387960791 Издательство: Springer Рейтинг: Цена: 21661.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: When the Mathematical Sciences Research Institute was started in the Fall of 1982, one of the programs was "non-linear partial differential equations". A seminar was organized whose audience consisted of graduate students of the University and mature mathematicians who are not experts in the field. This volume contains 18 of these lectures. An effort is made to have an adequate Bibliography for further information. The Editor wishes to take this opportunity to thank all the speakers and the authors of the articles presented in this volume for their cooperation. S. S. Chern, Editor Table of Contents Geometrical and Analytical Questions Stuart S. Antman 1 in Nonlinear Elasticity An Introduction to Euler's Equations Alexandre J. Chorin 31 for an Incompressible Fluid Linearizing Flows and a Cohomology Phillip Griffiths 37 Interpretation of Lax Equations The Ricci Curvature Equation Richard Hamilton 47 A Walk Through Partial Differential Fritz John 73 Equations Remarks on Zero Viscosity Limit for Tosio Kato 85 Nonstationary Navier-Stokes Flows with Boundary Free Boundary Problems in Mechanics Joseph B. Keller 99 The Method of Partial Regularity as Robert V.
Автор: Mi-Ho Giga; Yoshikazu Giga; J?rgen Saal Название: Nonlinear Partial Differential Equations ISBN: 0817641734 ISBN-13(EAN): 9780817641733 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focuses on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This book features exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier-Stokes equations, and mean curvature flow equations.
Variational methods are very powerful techniques in nonlinear analysis and are extensively used in many disciplines of pure and applied mathematics (including ordinary and partial differential equations, mathematical physics, gauge theory, and geometrical analysis).
In our first chapter, we gather the basic notions and fundamental theorems that will be applied throughout the chapters. While many of these items are easily available in the literature, we gather them here both for the convenience of the reader and for the purpose of making this volume somewhat self-contained. Subsequent chapters deal with how variational methods can be used in fourth-order problems, Kirchhoff problems, nonlinear field problems, gradient systems, and variable exponent problems. A very extensive bibliography is also included.
Автор: Curtis, Dzhamay, Hereman & Prina Название: Nonlinear Wave Equations (Conm/635) ISBN: 1470410508 ISBN-13(EAN): 9781470410506 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15662.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume contains the proceedings of the AMS Special Session on Nonlinear Waves and Integrable Systems, held on April 13-14, 2013, at the University of Colorado, Boulder, Colorado.The field of nonlinear waves is an exciting area of modern mathematical research that also plays a major role in many application areas from physics and fluids. The articles in this volume present a diverse cross section of topics from this field including work on the Inverse Scattering Transform, scattering theory, inverse problems, numerical methods for dispersive wave equations, and analytic and computational methods for free boundary problems. Significant attention to applications is also given throughout the articles with an extensive presentation on new results in the free surface problem in fluids.This volume will be useful to students and researchers interested in learning current techniques in studying nonlinear dispersive systems from both the integrable systems and computational points of view.
Описание: The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations.
Автор: Luigi Ambrosio; Bernard Dacorogna; E. Mascolo; Pao Название: Calculus of Variations and Nonlinear Partial Differential Equations ISBN: 3540759131 ISBN-13(EAN): 9783540759133 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Discusses topics such as transport equations for nonsmooth vector fields, homogenization, viscosity methods for the infinite Laplacian, and weak KAM theory and geometrical aspects of symmetrization.
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