Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics - Couverture souple

Galaktionov, Victor A.; Svirshchevskii, Sergey R.

 
9780367389970: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics
Couverture souple
ISBN 10 : 0367389975 ISBN 13 : 9780367389970
Editeur : Routledge, 2019

Synopsis

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.

This practical reference deals with various partial differential equations (PDEs) and models that exhibit some common nonlinear invariant features. It begins with classical as well as more recent examples of solutions on invariant subspaces. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including reaction-diffusion and gas dynamics models, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV-type and Harry Dym models, quasilinear magma equations, and Green-Naghdi equations. Using exact solutions, they describe the evolution properties of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, changing sign behavior of weak solutions near interfaces for nonlinear PDEs of various types and orders.

The techniques surveyed in Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics serve as a preliminary introduction to the general theory of nonlinear evolution PDEs of different orders and types.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Galaktionov, Victor A.; Svirshchevskii, Sergey R.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Routledge
Date d'édition
2019
Langue
anglais
ISBN 10 
0367389975
ISBN 13 
9780367389970
Reliure
Broché
Nombre de pages
528
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9781584886631: Exact Solutions And Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics And Physics

Edition présentée

ISBN 10 :  1584886633 ISBN 13 :  9781584886631
Editeur : Chapman & Hall/CRC, 2006
Couverture rigide