β Scribed by Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina, Ilya A. Shishmarev (auth.)
No coin nor oath required. For personal study only.
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.
Preliminary results....Pages 1-50
Weak Nonlinearity....Pages 51-178
Critical Nonconvective Equations....Pages 179-322
Critical Convective Equations....Pages 323-429
Subcritical Nonconvective Equations....Pages 431-512
Subcritical Convective Equations....Pages 513-540
Partial Differential Equations;Integral Equations;Mathematical and Computational Physics
π SIMILAR VOLUMES
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