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...

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Main Authors: Haroldo R. Clark, Alfredo T. Cousin, Cicero L. Frota, Juan Limaco
Format: Article
Language:English
Published: Texas State University 2010-01-01
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.
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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