Haroldo R. Clark, Alfredo T. Cousin, Cicero L. Frota, Juan Limaco
Abstract:
This article concerns the initial-boundary value problem for the
nonlinear Boussinesq equations on time dependent domains in
with
.
Global solvability, uniqueness of solutions and the exponential
decay to the energy are established provided the initial data
are bounded in some sense.
Submitted September 13, 2009. Published January 16, 2010.
Math Subject Classifications: 35L10, 35Q53, 35B40.
Key Words: Boussinesq equation; time dependent domains;
existence; uniqueness; asymptotic behavior.
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Haroldo R. Clark Universidade Federal Fluminense IM-GAN, RJ, Brasil email: hclark@vm.uff.br | |
Alfredo T. Cousin Universidade Estadual de Maringá DMA, PR, Brasil email: atcousin@uem.br | |
Cícero Lopes Frota Universidade Estadual de Maringá DMA, PR, Brasil email: clfrota@uem.br | |
Juan Límaco Universidade Federal Fluminense IM-GAN, RJ, Brasil email: jlimaco@vm.uff.br |
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