Asymptotics for Dissipative Nonlinear Equations

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 t...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Hayashi, Nakao (Συγγραφέας), Naumkin, Pavel I. (Συγγραφέας), Kaikina, Elena I. (Συγγραφέας), Shishmarev, Ilya A. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
Σειρά:Lecture Notes in Mathematics, 1884
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Hayashi, Nakao.  |e author. 
245 1 0 |a Asymptotics for Dissipative Nonlinear Equations  |h [electronic resource] /  |c by Nakao Hayashi, Pavel I. Naumkin, Elena I. Kaikina, Ilya A. Shishmarev. 
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490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1884 
505 0 |a Preliminary results -- Weak Nonlinearity -- Critical Nonconvective Equations -- Critical Convective Equations -- Subcritical Nonconvective Equations -- Subcritical Convective Equations. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Mathematical analysis. 
650 0 |a Analysis (Mathematics). 
650 0 |a Integral equations. 
650 0 |a Partial differential equations. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Analysis. 
650 2 4 |a Partial Differential Equations. 
650 2 4 |a Integral Equations. 
650 2 4 |a Theoretical, Mathematical and Computational Physics. 
700 1 |a Naumkin, Pavel I.  |e author. 
700 1 |a Kaikina, Elena I.  |e author. 
700 1 |a Shishmarev, Ilya A.  |e author. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540320593 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1884 
856 4 0 |u http://dx.doi.org/10.1007/b133345  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)