Existence of solutions for a Boussinesq system on the half line and on a finite interval

Karine Adamy

doi:10.3934/dcds.2011.29.25

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2011, Volume 29, Issue 1: 25-49. Doi: 10.3934/dcds.2011.29.25

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Existence of solutions for a Boussinesq system on the half line and on a finite interval

Karine Adamy^1,

1.
Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, CNRS UMR 8628, 91405 Orsay

Received: December 31, 2008

Revised: January 31, 2010

Published: December 2010

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Abstract

The initial boundary-value problem for a Boussinesq system is studied on the half line and on a finite interval. Global existence of weak solutions satisfying the boundary conditions is proven and uniqueness for solutions in a suitable class is studied. A proof of the persistence of finite regularity for solutions in the whole space is also presented.

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Mathematics Subject Classification: 35A01, 35F61, 35Q35, 35B65.

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References

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