Galaktionov V.A., Svirshchevskii S.R. Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

формат pdf
размер 3.35 МБ
добавлен 12 декабря 2010 г.

Chapman and Hall/CRC, 2006. - 528 p.

Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions on linear invariant subspaces for nonlinear operators and their crucial new properties.

Смотрите также

Ames W.F., Harrel E.M., Herod J.V. (editors). Differential Equations with Applications to Mathematical Physics

Статья

формат pdf
размер 4.13 МБ
добавлен 12 декабря 2010 г.

Academic Press, 1993. - 368 pages. In this volume in the "Mathematics in Science and Engineering" series, contributors from North America, Europe and Japan present articles at the forefront of research in differential equational and mathematical physics. Topics covered include nonlinear differential and integral equations, semiclassical quantum mechanics, spectral and scattering theory, and symmetry analysis. This book should be of interest to r...

Caffarelli L.A., Golse F., Guo Y. et al. Nonlinear Partial Differential Equations

формат pdf
размер 1.83 МБ
добавлен 14 ноября 2011 г.

Springer, 2012. - 158 pages. The book covers several topics of current interest in the field of nonlinear partial differential equations and their applications to the physics of continuous media and particle interactions. It treats the quasigeostrophic equation, integral diffusions, periodic Lorentz gas, Boltzmann equation, and critical dispersive nonlinear Schr?dinger and wave equations. Several powerful methods from recent top research articl...

Debnath L. Nonlinear Partial Differential Equations for Scientists and Engineers

формат djvu
размер 3.95 МБ
добавлен 01 января 2011 г.

Birkhauser, 1997. - 593 pages. This expanded and revised second edition is a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied applications. Building upon the successful material of the first book, this edition contains updated modern examples and applications from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics, quantum mechanics, nonlinear optics, acoustics,...

Debnath L. Nonlinear Partial Differential Equations for Scientists and Engineers

формат pdf
размер 6.77 МБ
добавлен 06 февраля 2012 г.

Birkh?user Boston, 2011. - 883 pages. The revised and enlarged third edition of this successful book presents a comprehensive and systematic treatment of linear and nonlinear partial differential equations and their varied and updated applications. In an effort to make the book more useful for a diverse readership, updated modern examples of applications are chosen from areas of fluid dynamics, gas dynamics, plasma physics, nonlinear dynamics,...

Dunajski M. Solitons, Instantons, and Twistors

формат pdf
размер 2.11 МБ
добавлен 19 августа 2011 г.

Oxford University Press, 2010. - 368 Pages. Most nonlinear differential equations arising in natural sciences admit chaotic behavior and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topolo...

Evans L.C. Partial Differential Equations

формат djvu
размер 4.67 МБ
добавлен 10 декабря 2010 г.

American Mathematical Society, 1998. - 662 pages. This text gives a comprehensive survey of modern techniques in the theoretical study of partial differential equations (PDEs) with particular emphasis on nonlinear equations. The exposition is divided into three parts: 1) representation formulas for solutions, 2) theory for linear partial differential equations, and 3) theory for nonlinear partial differential equations. Included are complete tr...

Jeffrey A. Applied Partial Differential Equations: An Introduction

формат pdf
размер 14.46 МБ
добавлен 31 марта 2011 г.

Academic Press, 2002. - 394 Pages. This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. Many books deal with partial differential equations, some at an elementary level and others at more advanced levels, so it is necessary that some justification should be given for the publication of another introductory text. With few exceptions, existing texts writt...

Jost J. Partial Differential Equations

формат pdf
размер 13.77 МБ
добавлен 10 декабря 2010 г.

Second Edition. Springer, 2007. - 356 pages. This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and c...

Taylor M.E. Partial Differential Equations III: Nonlinear Equations

формат pdf
размер 3.72 МБ
добавлен 14 января 2011 г.

Springer, 2010. - 715 Pages. The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear d...

Taylor M.E. Partial Differential Equations: Basic Theory

формат djvu
размер 5.69 МБ
добавлен 09 января 2011 г.

Springer, 1999. - 563 pages. This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic probl...