Asymptotics for Dissipative Nonlinear Equations

Released on by Nakao Hayashi
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  • Asymptotics for Dissipative Nonlinear Equations Book Detail

  • Author : Nakao Hayashi
  • Release Date : 2006-04-21
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 570
  • ISBN 13 : 3540320598
  • File Size : 34,34 MB
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Asymptotics for Dissipative Nonlinear Equations by Nakao Hayashi PDF Summary

Book 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.

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