TY  - BOOK
AU  - Hayashi,Nakao
AU  - Kaikina,Elena I.
AU  - Naumkin,,Pavel
AU  - Shishmarev,Ilya A.
TI  - Asymptotics for dissipative nonlinear equations
T2  - Lecture notes in mathematics
SN  - 3540320598
U1  - 515 
PY  - 2006///
CY  - [S.l.]
PB  - Springer
KW  - Differential calculus & equations
KW  - Mathematics for scientists & engineers
KW  - Mathematics
KW  - Science/Mathematics
KW  - Differential equations
KW  - Mathematical analysis
KW  - Mathematical physics
KW  - MATHEMATICS / Differential Equations
KW  - Mathematics / Mathematical Analysis
KW  - Science / Mathematical Physics
N1  - 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
ER  -