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Record Nr. |
UNISA996466624103316 |
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Autore |
Hayashi Nakao |
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Titolo |
Asymptotics for dissipative nonlinear equations / / N. Hayashi [and three others] |
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Pubbl/distr/stampa |
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Berlin ; ; Heidelberg : , : Springer, , [2006] |
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©2006 |
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ISBN |
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1-280-61516-8 |
9786610615162 |
3-540-32060-1 |
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Edizione |
[1st ed. 2006.] |
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Descrizione fisica |
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1 online resource (569 p.) |
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Collana |
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Lecture notes in mathematics ; ; 1884 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Differential equations, Nonlinear - Asymptotic theory |
Differential equations, Partial - Asymptotic theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (pages [541]-553) and index. |
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Nota di contenuto |
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Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations. |
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Sommario/riassunto |
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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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