Nakao Hayashi, Elena I. Kaikina, Pavel I. Naumkin

Asymptotics for Dissipative Nonlinear Equations

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Lecture Notes in Mathematics 1884
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-32059-3
• 2006
• Seitenzahl: 576
• Erscheinungstermin: 21. April 2006
• Englisch
• Abmessung: 235mm x 155mm x 31mm
• Gewicht: 856g
• ISBN-13: 9783540320593
• ISBN-10: 3540320598
• Artikelnr.: 20779348

Autorenporträt

Nakao Hayashi, Osaka University, Osaka Toyonaka, Japan / Elena I. Kaikina, UNAM, Morelia Michoacán, México / Pavel Naumkin, UNAM, Morelia Michoacán, México / Ilya A. Shishmarev, Moscow State University, Moscow, Russia

Inhaltsangabe

Preliminary results.- Weak Nonlinearity.- Critical Nonconvective Equations.- Critical Convective Equations.- Subcritical Nonconvective Equations.- Subcritical Convective Equations.