Derivation of a viscous Boussinesq system for surface water waves
Author:
Affiliation:
1. Laboratoire de Mathématiques d’Orsay, CNRS, UMR 8628, Orsay Cedex, F-91405, France
2. Université Paris-Sud, UMR 8628, Orsay Cedex, F-91405, France. E-mail: Herve.LeMeur@math.u-psud.fr
Publisher
IOS Press
Subject
General Mathematics
Reference25 articles.
1. Boussinesq equations and other systems for small-amplitude long waves in nonlinear dispersive media. I. Derivation and linear theory;Bona;J. Nonlinear Sci.,2002
2. Lois de l’extinction d’une houle simple en haute mer;Boussinesq;C. R. Math. Acad. Sci. Paris,1895
3. The effect of laminar viscosity on the solution of the undular bore;Byatt-Smith;J. Fluid Mech.,1971
4. Decay of solutions to a water wave model with a nonlocal viscous dispersive term;Chen;Discrete Contin. Dyn. Syst.,2010
5. Decay of solutions to a viscous asymptotical model for waterwaves: Kakutani–Matsuuchi model;Chen;Nonlinear Anal.,2012
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