Derivation of a viscous Boussinesq system for surface water waves
نویسندگان
چکیده
منابع مشابه
Derivation of a viscous Boussinesq system for surface water waves
In this article, we derive a viscous Boussinesq system for surface water waves from Navier-Stokes equations. So, we use neither the irrotationality assumption, nor the Zakharov-Craig-Sulem formulation. During the derivation, we find the bottom shear stress, and also the decay rate for shallow (and not deep) water. In order to justify our derivation, we check it by deriving the viscous Korteweg-...
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Depth-integrated long-wave models, such as the shallow-water and Boussinesq equations, are standard fare in the study of small amplitude surface waves in shallow water. While the shallow-water theory features conservation of mass, momentum and energy for smooth solutions, mechanical balance equations are not widely used in Boussinesq scaling, and it appears that the expressions for many of thes...
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ژورنال
عنوان ژورنال: Asymptotic Analysis
سال: 2015
ISSN: 1875-8576,0921-7134
DOI: 10.3233/asy-151315