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130626 ||| eng |
| 020 |
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|a 9783540320609
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| 100 |
1 |
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|a Hayashi, Nakao
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| 245 |
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|a Asymptotics for Dissipative Nonlinear Equations
|h Elektronische Ressource
|c by Nakao Hayashi, Elena I. Kaikina, Pavel Naumkin, Ilya A. Shishmarev
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| 250 |
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|a 1st ed. 2006
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 2006, 2006
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| 300 |
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|a XI, 557 p
|b online resource
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| 505 |
0 |
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|a Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations
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| 653 |
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|a Integral equations
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Differential Equations
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| 653 |
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|a Theoretical, Mathematical and Computational Physics
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| 653 |
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|a Integral Equations
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| 653 |
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|a Differential equations
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| 700 |
1 |
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|a Kaikina, Elena I.
|e [author]
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| 700 |
1 |
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|a Naumkin, Pavel
|e [author]
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| 700 |
1 |
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|a Shishmarev, Ilya A.
|e [author]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Lecture Notes in Mathematics
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| 028 |
5 |
0 |
|a 10.1007/b133345
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/b133345?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 515
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| 520 |
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|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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