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  • © 2006

Asymptotics for Dissipative Nonlinear Equations

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1884)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
  2. Preliminary results

    Pages 1-50
  3. Weak Nonlinearity

    Pages 51-178
  4. Back Matter

    Pages 541-561

About this book

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.

Keywords

  • Asymptotic methods
  • Cauchy problem
  • global existence
  • nonlinear evolution equations
  • partial differential equation
  • pseudodifferential operators
  • wave equation
  • partial differential equations

Authors and Affiliations

  • Department of Mathematics Graduate School of Science, Osaka University, Osaka Toyonaka, Japan

    Nakao Hayashi

  • Instituto de Matemáticas, UNAM Campus Morelia, Morelia, Mexico

    Pavel I. Naumkin, Elena I. Kaikina

  • Department of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    Ilya A. Shishmarev

Bibliographic Information

Buying options

eBook USD 39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions