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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Asymptotics for Dissipative Nonlinear Equations
• Author: Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin
• Language: English
• Binding: Paperback
• Number of pages: 557
• EAN: 9783540320593
• ISBN: 3540320598
• ID: 01561661
• Publisher: Springer, Berlin
• Weight: 856 g
• Dimensions: 234 × 156 × 29 mm
• Published: 2006

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