On the shallow water equations with periodicity in one direction |
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| Authors: | K Adamy |
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| Institution: | 1. Laboratoire d’Analyse numérique et EDP , Université Paris-Sud , Orsay, France karine.adamy@math.u-psud.fr |
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| Abstract: | The linearized 2D shallow water equations, supplemented with suitable boundary conditions in one direction and periodicity in the other direction are considered. The well-posedness of this mixed boundary value problem is proven, using the linear semi-group theory. The well-posedness of the totally periodic problem is also proven. |
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| Keywords: | Shallow water equations mixed boundary-value problems semi-group theory well-posedness periodicity |
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