|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910484109103321 |
|
|
Autore |
Hayashi Nakao |
|
|
Titolo |
Asymptotics for dissipative nonlinear equations / / N. Hayashi [and three others] |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin ; ; Heidelberg : , : Springer, , [2006] |
|
©2006 |
|
|
|
|
|
|
|
|
|
ISBN |
|
1-280-61516-8 |
9786610615162 |
3-540-32060-1 |
|
|
|
|
|
|
|
|
Edizione |
[1st ed. 2006.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (569 p.) |
|
|
|
|
|
|
Collana |
|
Lecture notes in mathematics ; ; 1884 |
|
|
|
|
|
|
Altri autori (Persone) |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differential equations, Nonlinear - Asymptotic theory |
Differential equations, Partial - Asymptotic theory |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (pages [541]-553) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|