Asymptotics for Dissipative Nonlinear 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 t...

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Hlavní autor:	Hayashi, Nakao (Autor)
Další autoři:	Naumkin, Pavel I (Autor) Kaikina, Elena I (Autor) Shishmarev, Ilya A (Autor)
Korporace:	SpringerLink (online služba)
Médium:	E-kniha
Jazyk:	angličtina
Vydáno:	Berlin, Heidelberg : Springer Berlin Heidelberg, 2006
Edice:	Lecture Notes in Mathematics
Žánr/forma:	elektronické knihy
ISBN:	978-3-540-32060-9 9783540820284 9783540320593
Témata:	globální analýza diferenciální rovnice parciální integrální rovnice
On-line přístup:	Plný text
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245	1	0	\|a Asymptotics for Dissipative Nonlinear Equations \|h [elektronický zdroj] / \|c by Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina, Ilya A. Shishmarev
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505	0		\|a Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations
520			\|a 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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