Dissipative Boussinesq equations on non-cylindrical domains in R^n
This article concerns the initial-boundary value problem for the nonlinear Boussinesq equations on time dependent domains in $mathbb{R}^n$ with $1leq n leq 4$. Global solvability, uniqueness of solutions and the exponential decay to the energy are established provided the initial data are bound...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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Texas State University
2010-01-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2010/08/abstr.html |
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author | Haroldo R. Clark Alfredo T. Cousin Cicero L. Frota Juan Limaco |
author_facet | Haroldo R. Clark Alfredo T. Cousin Cicero L. Frota Juan Limaco |
author_sort | Haroldo R. Clark |
collection | DOAJ |
description | This article concerns the initial-boundary value problem for the nonlinear Boussinesq equations on time dependent domains in $mathbb{R}^n$ with $1leq n leq 4$. Global solvability, uniqueness of solutions and the exponential decay to the energy are established provided the initial data are bounded in some sense. |
first_indexed | 2024-12-14T01:53:22Z |
format | Article |
id | doaj.art-5525414d41a846fd93361db407a08361 |
institution | Directory Open Access Journal |
issn | 1072-6691 |
language | English |
last_indexed | 2024-12-14T01:53:22Z |
publishDate | 2010-01-01 |
publisher | Texas State University |
record_format | Article |
series | Electronic Journal of Differential Equations |
spelling | doaj.art-5525414d41a846fd93361db407a083612022-12-21T23:21:18ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-01-01201008,118Dissipative Boussinesq equations on non-cylindrical domains in R^nHaroldo R. ClarkAlfredo T. CousinCicero L. FrotaJuan LimacoThis article concerns the initial-boundary value problem for the nonlinear Boussinesq equations on time dependent domains in $mathbb{R}^n$ with $1leq n leq 4$. Global solvability, uniqueness of solutions and the exponential decay to the energy are established provided the initial data are bounded in some sense.http://ejde.math.txstate.edu/Volumes/2010/08/abstr.htmlBoussinesq equationtime dependent domainsexistenceuniquenessasymptotic behavior |
spellingShingle | Haroldo R. Clark Alfredo T. Cousin Cicero L. Frota Juan Limaco Dissipative Boussinesq equations on non-cylindrical domains in R^n Electronic Journal of Differential Equations Boussinesq equation time dependent domains existence uniqueness asymptotic behavior |
title | Dissipative Boussinesq equations on non-cylindrical domains in R^n |
title_full | Dissipative Boussinesq equations on non-cylindrical domains in R^n |
title_fullStr | Dissipative Boussinesq equations on non-cylindrical domains in R^n |
title_full_unstemmed | Dissipative Boussinesq equations on non-cylindrical domains in R^n |
title_short | Dissipative Boussinesq equations on non-cylindrical domains in R^n |
title_sort | dissipative boussinesq equations on non cylindrical domains in r n |
topic | Boussinesq equation time dependent domains existence uniqueness asymptotic behavior |
url | http://ejde.math.txstate.edu/Volumes/2010/08/abstr.html |
work_keys_str_mv | AT haroldorclark dissipativeboussinesqequationsonnoncylindricaldomainsinrn AT alfredotcousin dissipativeboussinesqequationsonnoncylindricaldomainsinrn AT cicerolfrota dissipativeboussinesqequationsonnoncylindricaldomainsinrn AT juanlimaco dissipativeboussinesqequationsonnoncylindricaldomainsinrn |