Items related to Asymptotics for Dissipative Nonlinear Equations: 1884...

Asymptotics for Dissipative Nonlinear Equations: 1884 (Lecture Notes in Mathematics, 1884) - Softcover

Hayashi, Nakao; Kaikina, Elena I.; Naumkin, Pavel; Shishmarev, Ilya A.

 
9783540320593: Asymptotics for Dissipative Nonlinear Equations: 1884 (Lecture Notes in Mathematics, 1884)

Synopsis

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.

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