Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 5, Jean-Yres Chemin, Fanghua Lin, Ping Zhang
Автор: Boling Guo, Hongjun Gao, Xueke Pu Название: Stochastic PDEs and Dynamics ISBN: 3110495104 ISBN-13(EAN): 9783110495102 Издательство: Walter de Gruyter Рейтинг: Цена: 123910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book explains mathematical theories of a collection of stochastic partial differential equations and their dynamical behaviors. Based on probability and stochastic process, the authors discuss stochastic integrals, Ito formula and Ornstein-Uhlenbeck processes, and introduce theoretical framework for random attractors. With rigorous mathematical deduction, the book is an essential reference to mathematicians and physicists in nonlinear science. Contents: PreliminariesThe stochastic integral and It formulaOU processes and SDEsRandom attractorsApplicationsBibliographyIndex
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: Jean-Yves Chemin, Fanghua Lin, Ping Zhang Название: Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 4 ISBN: 1571463178 ISBN-13(EAN): 9781571463173 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 50820.00 T Наличие на складе: Невозможна поставка. Описание: The works presented in this volume originated in lectures on analysis in partial differential equations. Included are Jean-Yves Chemin on profile decomposition and its applications to the Navier-Stokes system; Hongjie Dong on Lp estimates for parabolic equations; Xiaochun Li, on the Hardy-Littlewood circle method; and Fanghua Lin on elliptic free boundary problems.
Автор: Ahmad Shair Название: Textbook on Ordinary Differential Equations ISBN: 3319164074 ISBN-13(EAN): 9783319164076 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. A complete Solutions Manual, containing solutions to all the exercises published in the book, is available.
Автор: Fanghua Lin, Xueping Wang, Ping Zhang Название: Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 1 ISBN: 157146235X ISBN-13(EAN): 9781571462350 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 50820.00 T Наличие на складе: Невозможна поставка. Описание: <p>In this volume we present lectures by M. C. Lopes concerning the boundary layers of incompressible fluid flow; by C. J. Xu on the micro-local analysis and its applications to the regularities of kinetic equations; by Y. X. Zheng on the weak solutions of variational wave equation from liquid crystals; and by P. Zhang and Z. F. Zhang on the free boundary problem of Euler equations. In addition, we also included lectures by F. Nier on the hypoellipticity of Fokker-Planck operator and Witten-Laplace operator. We hope that these lectures may serve as valuable references, providing up-to-date descriptions of current developments in various related research topics, that will benefit young researchers or graduate students. </p>
Автор: Fanghua Lin, Xueping Wang, Ping Zhang Название: Lectures on the Analysis of Nonlinear Partial Differential Equations: Part 2 ISBN: 1571462384 ISBN-13(EAN): 9781571462381 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 50820.00 T Наличие на складе: Невозможна поставка. Описание: In this sequel to the first part of <em>Lectures on the Analysis of Nonlinear Partial Differential Equations</em>, we present lectures by Marco Cannone on harmonic analysis and Navier-Stokes equations with application to the Boltzmann equation; by Chongsheng Cao and Jiahong Wu on global regularity theory for the incompressible magnetohydrodynamic type equations; by Eduard Feireisl on scale analysis of complete fluid systems; by Thierry Goudon on diffusion asymptotics in radiative transfer and astrophysics; by Jean-Claude Saut on asymptotic models for internal waves; by Zhongwei Shen on the Calderón-Zygmund lemma; and by Vsevolod A. Solonnikov on the stability of uniformly rotating viscous incompressible self-gravitating liquid. <br><br> We hope that these lectures may serve as valuable references, providing up-to-date descriptions of current developments in various related research topics, that will benefit young researchers or graduate students.
Автор: Guillermo Sapiro Название: Geometric Partial Differential Equations and Image Analysis ISBN: 0521685079 ISBN-13(EAN): 9780521685078 Издательство: Cambridge Academ Цена: 53850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Researchers and practitioners will be able to achieve state-of-the-art practical results in a large number of real problems with the techniques described here. Applications covered include image segmentation, shape analysis, image enhancement, and tracking.
Автор: Bahouri, Hajer Chemin, Jean-yves Danchin, Raphael Название: Fourier analysis and nonlinear partial differential equations ISBN: 3642266576 ISBN-13(EAN): 9783642266577 Издательство: Springer Рейтинг: Цена: 93130.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Recent years have seen a growth in interest in using partial differential equations in methods of Fourier analysis. This monograph sets out state-of-the-art models of these techniques as applied to transport, heat, wave, and Schrodinger 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: Stefan Hildebrandt; Hermann Karcher Название: Geometric Analysis and Nonlinear Partial Differential Equations ISBN: 3642628877 ISBN-13(EAN): 9783642628870 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example.
Автор: Dret, Herve Le Название: Nonlinear elliptic partial differential equations ISBN: 3319783890 ISBN-13(EAN): 9783319783895 Издательство: Springer Рейтинг: Цена: 60550.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations. Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Автор: Xie Название: Differential Equations for Engineers ISBN: 1107632951 ISBN-13(EAN): 9781107632950 Издательство: Cambridge Academ Рейтинг: Цена: 63360.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Xie presents a systematic introduction to differential equations for engineering students. The relevance of differential equations in engineering applications motivates readers, and studies of various types of differential equations are determined by engineering applications. The theory and techniques for solving differential equations are then applied to solve practical engineering problems.
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