Asymptotics for Dissipative Nonlinear Equations [electronic resource] / by Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina, Ilya A. Shishmarev.
Tipo de material: TextoSeries Lecture Notes in Mathematics ; 1884 | Lecture Notes in Mathematics ; 1884Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006Descripción: XI, 557 p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783540320609
- SpringerLink (Online service)
- 515.353 23
- QA370-380
Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations.
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.
ZDB-2-SMA
ZDB-2-LNM
No hay comentarios en este titulo.