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

Galaktionov, Victor A.

 
9780367389970: Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

Synopsis

Providing exact solutions of more than 200 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 that describe singularity behavior for 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.

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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.

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
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