Asymptotics for Dissipative Nonlinear Equations

2006
ISBN: 978-3-540-32059-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1884, 557 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1760 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Hayashi, Nakao

Shishmarev, Ilya A.

Kaikina, Elena I.

Naumkin, Pavel

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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