Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
نویسندگان
چکیده
منابع مشابه
Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
The water wave theory traditionally assumes the fluid to be perfect, thus neglecting all effects of the viscosity. However, the explanation of several experimental data sets requires the explicit inclusion of dissipative effects. In order to meet these practical problems, the theory of visco-potential flows has been developed (see P.-F. Liu & A. Orfila [42] and D. Dutykh & F. Dias [25]). Then, ...
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The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated nu...
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Article history: Received 6 May 2010 Revised 13 March 2011 Available online 22 July 2011 MSC: 46E35 47A07
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ژورنال
عنوان ژورنال: Mathematics and Computers in Simulation
سال: 2016
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2013.12.008