Existence of solutions for a Boussinesq system on the half line and on a finite interval
Karine Adamy - Laboratoire de Mathématiques, Université Paris-Sud, Bâtiment 425, CNRS UMR 8628, 91405 Orsay, France (email)
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.
Keywords: Boussinesq systems, boundary value problems, hyperbolic systems, regularity of solutions.
Received: January 2009; Revised: February 2010; Available Online: September 2010.
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