Format:
Online-Ressource (XI, 562 p, online resource)
ISBN:
9783540320609
Series Statement:
Lecture Notes in Mathematics 1884
Content:
Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations.
Content:
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.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 9783540320593
Additional Edition:
Erscheint auch als Druck-Ausgabe Asymptotics for dissipative nonlinear equations Berlin : Springer, 2006 ISBN 3540320598
Additional Edition:
ISBN 9783540320593
Language:
English
Subjects:
Mathematics
Keywords:
Nichtlineare partielle Differentialgleichung
;
Cauchy-Anfangswertproblem
;
Asymptotische Methode
;
Nichtlineare partielle Differentialgleichung
;
Cauchy-Anfangswertproblem
;
Asymptotische Methode
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
Author information:
Hayashi, Nakao
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