Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Hayashi, Nakao, Naumkin, Pavel I, Kaikina, Elena I, Shishmarev, Ilya A
Lenguaje:eng
Publicado: Springer 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1007/b133345
http://cds.cern.ch/record/1690681
_version_ 1780935618041217024
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
work_keys_str_mv AT hayashinakao asymptoticsfordissipativenonlinearequations
AT naumkinpaveli asymptoticsfordissipativenonlinearequations
AT kaikinaelenai asymptoticsfordissipativenonlinearequations
AT shishmarevilyaa asymptoticsfordissipativenonlinearequations