Exact Solutions and Invariant Subspaces of Nonlinear Partial - Differential Equations in Mechanics and Physic

Informationen zum Autor Galaktionov, Victor A.; Svirshchevskii, Sergey R. Klappentext Providing exact solutions of more than 100 nonlinear equations and models! this book begins with classical as well as more recent examples of interesting solutions on linear invariant subspaces for nonlinear operators. In the remainder of the book! the authors develop several techniques for constructing exact solutions of various nonlinear PDEs! including gas dynamics models! free-boundary problems! Green-Naghdi equations! and quasilinear pseudo-parabolic (magma) equations. Using exact solutions! they describe the evolution properties related to singularity blow-up or extinction phenomena! finite interface propagation and regularity! and the oscillatory! changing sign behavior of weak solutions near interfaces. Zusammenfassung Presents examples of interesting solutions on linear invariant subspaces for nonlinear operators. This book develops several techniques for constructing exact solutions that describe singularity behavior for various nonlinear PDEs, including gas dynamics models, free-boundary problems, and Green-Naghdi equations. Inhaltsverzeichnis Introduction. Linear Invariant Subspaces in Quasilinear Equations. Invariant Subspaces and Modules. Parabolic Equations in One Dimension. Odd-Order One-Dimensional Equations. Quasilinear Wave and Boussinesq Models in One Dimension. Applications to Partial Differential Equations in IRN. Partially Invariant Subspaces, Invariant Sets, and Generalized Separation of Variables. Sign-Invariants for Second-Order Parabolic Equations and Exact Solutions. Invariant Subspaces for Discrete Operators, Moving Mesh Methods, and Lattices. References. List of Frequently Used Abbreviations. Index.

Product details

• Authors: Victor A. Galaktionov, Victor A. Svirshchevskii Galaktionov, Sergey R. Svirshchevskii, Svirshchevskii Sergey R.
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Hardback
• Released: 02.11.2006
• EAN: 9781584886631
• ISBN: 978-1-58488-663-1
• No. of pages: 528
• Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science; Chapman & Hall/CRC Applied Mat; Chapman & Hall/CRC Applied Mat
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Applied, MATHEMATICS / Differential Equations / General, Differential calculus & equations, Maths for scientists, Maths for engineers, Differential calculus and equations