The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity
Madalina Petcu - Laboratoire de Mathématiques et Applications UMR CNRS 6086, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil, France (email)
Abstract: In the present article we consider the nonviscous Shallow Water Equations in space dimension one with Dirichlet boundary conditions for the velocity and we show the locally in time well-posedness of the model.
Keywords: a priori estimates,
shallow water, well posedness.
Received: June 2009; Revised: September 2009; Available Online: October 2010.
2015 Impact Factor.737