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.
• Physical Description: XI, 557 p. online resource.
• ISBN: 9783540320609
• ISSN: 0075-8434 ;

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.