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＜E-Book＞
Asymptotics for Dissipative Nonlinear Equations / by Nakao Hayashi, Elena I. Kaikina, Pavel Naumkin, Ilya A. Shishmarev
(Lecture Notes in Mathematics. ISSN:16179692 ; 1884)

Edition	1st ed. 2006.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2006
Language	English
Size	XI, 557 p : online resource
Authors	*Hayashi, Nakao author Kaikina, Elena I author Naumkin, Pavel author Shishmarev, Ilya A author SpringerLink (Online service)
Subjects	LCSH:Mathematical analysis LCSH:Differential equations LCSH:Integral equations LCSH:Mathematical physics FREE:Analysis FREE:Differential Equations FREE:Integral Equations FREE:Theoretical, Mathematical and Computational Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/b133345

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