Asymptotics for dissipative nonlinear equations /
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Imprint: | Berlin ; New York : Springer, ©2006. |
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Description: | 1 online resource (xi, 557 pages). |
Language: | English |
Series: | Lecture notes in mathematics, 0075-8434 ; 1884 Lecture notes in mathematics (Springer-Verlag) ; 1884. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11068886 |
Other authors / contributors: | Hayashi, Nakao. |
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ISBN: | 9783540320609 3540320601 3540320598 9783540320593 |
Notes: | Includes bibliographical references (pages 541-553) and index. Print version record. |
Summary: | 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. |
Other form: | Print version: Asymptotics for dissipative nonlinear equations. Berlin ; New York : Springer, ©2006 3540320598 |
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