Asymptotics for Dissipative Nonlinear Equations

• Main Authors: Hayashi, Nakao (Author), Naumkin, Pavel I. (Author), Kaikina, Elena I. (Author), Shishmarev, Ilya A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Lecture Notes in Mathematics, 1884
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Integral equations.; Partial differential equations.; Physics.; Analysis.; Partial Differential Equations.; Integral Equations.; Theoretical, Mathematical and Computational Physics.

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 t...

Table of Contents:

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