Asymptotics for dissipative nonlinear equations / / N. Hayashi [and three others]

• Autore: Hayashi Nakao
• Pubblicazione: Berlin ; ; Heidelberg : , : Springer, , [2006]; ©2006
• Edizione: 1st ed. 2006.
• Descrizione fisica: 1 online resource (569 p.)
• Disciplina: 515.35
• Soggetto topico: Differential equations, Nonlinear - Asymptotic theory; Differential equations, Partial - Asymptotic theory
• Altri autori: HayashiNakao
• 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.
• Titolo autorizzato: Asymptotics for dissipative nonlinear equations
• ISBN: 1-280-61516-8; 9786610615162; 3-540-32060-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910484109103321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture notes in mathematics (Springer-Verlag) ; ; 1884.