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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...
Autores principales: | , , , |
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Lenguaje: | eng |
Publicado: |
Springer
2006
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1007/b133345 http://cds.cern.ch/record/1690681 |
_version_ | 1780935618041217024 |
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author | Hayashi, Nakao Naumkin, Pavel I Kaikina, Elena I Shishmarev, Ilya A |
author_facet | Hayashi, Nakao Naumkin, Pavel I Kaikina, Elena I Shishmarev, Ilya A |
author_sort | Hayashi, Nakao |
collection | CERN |
description | 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. |
id | cern-1690681 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2006 |
publisher | Springer |
record_format | invenio |
spelling | cern-16906812021-04-21T21:14:06Zdoi:10.1007/b133345http://cds.cern.ch/record/1690681engHayashi, NakaoNaumkin, Pavel IKaikina, Elena IShishmarev, Ilya AAsymptotics for dissipative nonlinear equationsMathematical Physics and MathematicsMany 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.Springeroai:cds.cern.ch:16906812006 |
spellingShingle | Mathematical Physics and Mathematics Hayashi, Nakao Naumkin, Pavel I Kaikina, Elena I Shishmarev, Ilya A Asymptotics for dissipative nonlinear equations |
title | Asymptotics for dissipative nonlinear equations |
title_full | Asymptotics for dissipative nonlinear equations |
title_fullStr | Asymptotics for dissipative nonlinear equations |
title_full_unstemmed | Asymptotics for dissipative nonlinear equations |
title_short | Asymptotics for dissipative nonlinear equations |
title_sort | asymptotics for dissipative nonlinear equations |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/b133345 http://cds.cern.ch/record/1690681 |
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