An asymptotic expansion for the solution of the generalized Riemann problem. Part 2 : application to the equations of gas dynamics
A. Bourgeade, Ph. Le Floch, P. A. Raviart (1989)
Annales de l'I.H.P. Analyse non linéaire
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A. Bourgeade, Ph. Le Floch, P. A. Raviart (1989)
Annales de l'I.H.P. Analyse non linéaire
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Anne de Bouard, Jean-Claude Saut (1997)
Annales de l'I.H.P. Analyse non linéaire
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Florent Chazel (2007)
ESAIM: Mathematical Modelling and Numerical Analysis
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We focus here on the water waves problem for uneven bottoms in the long-wave regime, on an unbounded two or three-dimensional domain. In order to derive asymptotic models for this problem, we consider two different regimes of bottom topography, one for small variations in amplitude, and one for strong variations. Starting from the Zakharov formulation of this problem, we rigorously compute the asymptotic expansion of the involved Dirichlet-Neumann operator. Then, following the global...
Masahito Ohta (1995)
Annales de l'I.H.P. Physique théorique
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