Blow-up in Nonlinear Equations: In Mathematical Physics, Maxim Olegovich Korpusov, Alexey Vital`evich Ovchinnikov
Автор: Chartrand Rene Название: Montcalm`s Crushing Blow ISBN: 1472803302 ISBN-13(EAN): 9781472803306 Издательство: Osprey Рейтинг: Цена: 15830.00 T Наличие на складе: Невозможна поставка. Описание: The year 1755 saw the rivalry between Britain and France in North America escalate into open warfare as both sides sought to overcome the other`s forts and trading posts. This book focuses on a daring feat of arms at the height of the French and Indian War.
Автор: Ivan A. Lukovsky Название: Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid ISBN: 3110316552 ISBN-13(EAN): 9783110316551 Издательство: Walter de Gruyter Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities (containers) partly filled by a liquid. The methods are normally based on the Bateman-Luke variational formalism combined with perturbation theory. The derived approximate equations of spatial motions of the body-liquid mechanical system (these equations are called mathematical models in the title) take the form of a finite-dimensional system of nonlinear ordinary differential equations coupling quasi-velocities of the rigid body motions and generalized coordinates responsible for displacements of the natural sloshing modes. Algorithms for computing the hydrodynamic coefficients in the approximate mathematical models are proposed. Numerical values of these coefficients are listed for some tank shapes and liquid fillings. The mathematical models are also derived for the contained liquid characterized by the Newton-type dissipation. Formulas for hydrodynamic force and moment are derived in terms of the solid body quasi-velocities and the sloshing-related generalized coordinates. For prescribed harmonic excitations of upright circular (annular) cylindrical and/or conical tanks, the steady-state sloshing regimes are theoretically classified; the results are compared with known experimental data. The book can be useful for both experienced and early-stage mechanicians, applied mathematicians and engineers interested in (semi-)analytical approaches to the “fluid-structure” interaction problems, their fundamental mathematical background as well as in modeling the dynamics of complex mechanical systems containing a rigid tank partly filled by a liquid.
Автор: Ivan A. Lukovsky Название: Nonlinear Dynamics: Mathematical Models for Rigid Bodies with a Liquid ISBN: 3110555360 ISBN-13(EAN): 9783110555363 Издательство: Walter de Gruyter Рейтинг: Цена: 25970.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book is devoted to analytically approximate methods in the nonlinear dynamics of a rigid body with cavities partly filled by liquid.
Автор: M. Escobedo, J. J. L. Velazquez Название: On the Theory of Weak Turbulence for the Nonlinear Schrodinger Equation ISBN: 1470414341 ISBN-13(EAN): 9781470414344 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 79470.00 T Наличие на складе: Невозможна поставка. Описание: Examines the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrodinger equation. The authors define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained.
Автор: Karl K. Sabelfeld, Irina A. Shalimova Название: Spherical and Plane Integral Operators for PDEs: Construction, Analysis, and Applications ISBN: 3110315297 ISBN-13(EAN): 9783110315295 Издательство: Walter de Gruyter Рейтинг: Цена: 185890.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book presents integral formulations for partial differential equations, with the focus on spherical and plane integral operators. The integral relations are obtained for different elliptic and parabolic equations, and both direct and inverse mean value relations are studied. The derived integral equations are used to construct new numerical methods for solving relevant boundary value problems, both deterministic and stochastic based on probabilistic interpretation of the spherical and plane integral operators.
Автор: Boling Guo, Dongfen Bian, Fangfang Li, Xiaoyu Xi Название: Vanishing Viscosity Method: Solutions to Nonlinear Systems ISBN: 3110495287 ISBN-13(EAN): 9783110495287 Издательство: Walter de Gruyter Рейтинг: Цена: 173490.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The book summarizes several mathematical aspects of the vanishing viscosity method and considers its applications in studying dynamical systems such as dissipative systems, hyperbolic conversion systems and nonlinear dispersion systems. Including original research results, the book demonstrates how to use such methods to solve PDEs and is an essential reference for mathematicians, physicists and engineers working in nonlinear science.
Contents: Preface Sobolev Space and Preliminaries The Vanishing Viscosity Method of Some Nonlinear Evolution System The Vanishing Viscosity Method of Quasilinear Hyperbolic System Physical Viscosity and Viscosity of Difference Scheme Convergence of Lax-Friedrichs Scheme, Godunov Scheme and Glimm Scheme Electric-Magnetohydrodynamic Equations References
Автор: Francesco Calogero Название: Zeros of Polynomials and Solvable Nonlinear Evolution Equations ISBN: 1108428592 ISBN-13(EAN): 9781108428590 Издательство: Cambridge Academ Рейтинг: Цена: 98200.00 T Наличие на складе: Невозможна поставка. Описание: Exploring a novel breakthrough in the identification and investigation of solvable and integrable nonlinearly coupled evolution ordinary differential equations (ODEs) or partial differential equations (PDEs).
Автор: Serge Alinhac Название: Blowup for Nonlinear Hyperbolic Equations ISBN: 1461275881 ISBN-13(EAN): 9781461275886 Издательство: Springer Рейтинг: Цена: 97820.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The content of this book corresponds to a one-semester course taught at the University of Paris-Sud (Orsay) in the spring 1994. It is accessible to students or researchers with a basic elementary knowledge of Partial Dif- ferential Equations, especially of hyperbolic PDE (Cauchy problem, wave operator, energy inequality, finite speed of propagation, symmetric systems, etc.). This course is not some final encyclopedic reference gathering all avail- able results. We tried instead to provide a short synthetic view of what we believe are the main results obtained so far, with self-contained proofs. In fact, many of the most important questions in the field are still completely open, and we hope that this monograph will give young mathe- maticians the desire to perform further research. The bibliography, restricted to papers where blowup is explicitly dis- cussed, is the only part we tried to make as complete as possible (despite the new preprints circulating everyday) j the references are generally not mentioned in the text, but in the Notes at the end of each chapter. Basic references corresponding best to the content of these Notes are the books by Courant and Friedrichs CFr], Hormander HoI] and Ho2], Majda Ma] and Smoller Sm], and the survey papers by John J06], Strauss St] and Zuily Zu].
Автор: W.I. Fushchich; W.M. Shtelen; N.I. Serov Название: Symmetry Analysis and Exact Solutions of Equations of Nonlinear Mathematical Physics ISBN: 0792321464 ISBN-13(EAN): 9780792321460 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Presents an account of the state of algebraic-theoretic methods as applied to linear and nonlinear multidimensional equations of mathematical and theoretical physics. This volume studies the symmetry of integro-differential equations and describes the method of finding final nonlocal transformations.
Автор: Wazwaz Abdul-Majid Название: First Course In Integral Equations, A (Second Edition) ISBN: 9814675121 ISBN-13(EAN): 9789814675123 Издательство: World Scientific Publishing Рейтинг: Цена: 42240.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This second edition integrates the newly developed methods with classical techniques to give both modern and powerful approaches for solving integral equations.
Автор: B.Xiong,P.Yee Lee Название: Mathematical olympiad in China (2009-2010) ISBN: 9814390216 ISBN-13(EAN): 9789814390217 Издательство: World Scientific Publishing Рейтинг: Цена: 25350.00 T Наличие на складе: Невозможна поставка. Описание: The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times. This title comprises of original problems with solutions that China used to train their Olympiad team in the years from 2009 to 2010.
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