Asymptotics for Dissipative Nonlinear Equations 2006 Edition Contributor(s): Hayashi, Nakao (Author), Kaikina, Elena I. (Author), Naumkin, Pavel (Author) |
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ISBN: 3540320598 ISBN-13: 9783540320593 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: April 2006 |
Additional Information |
BISAC Categories: - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational |
Dewey: 515.252 |
LCCN: 2006921737 |
Series: Lecture Notes in Mathematics |
Physical Information: 1.17" H x 6.14" W x 9.21" (1.75 lbs) 557 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Many of problems of the natural sciences lead to nonlinear partial differential equations. However, only a few of them have succeeded in being solved explicitly. Therefore different methods of qualitative analysis such as the asymptotic methods play a very important role. This is the first book in the world literature giving a systematic development of a general asymptotic theory for nonlinear partial differential equations with dissipation. Many typical well-known equations are considered as examples, such as: nonlinear heat equation, KdVB equation, nonlinear damped wave equation, Landau-Ginzburg equation, Sobolev type equations, systems of equations of Boussinesq, Navier-Stokes and others. |