UID:
almahu_9947363913202882
Umfang:
XI, 557 p.
,
online resource.
ISBN:
9783540320609
Serie:
Lecture Notes in Mathematics, 1884
Inhalt:
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.
Anmerkung:
Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations.
In:
Springer eBooks
Weitere Ausg.:
Printed edition: ISBN 9783540320593
Sprache:
Englisch
URL:
http://dx.doi.org/10.1007/b133345
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