4 Result(s)
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Article
Open AccessOn Existence and Admissibility of Singular Solutions for Systems of Conservation Laws
A weak notion of solution for systems of conservation laws in one dimension is put forward. In the framework introduced here, it can be shown that the Cauchy problem for any
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Article
Fully dispersive Boussinesq models with uneven bathymetry
Three weakly nonlinear but fully dispersive Whitham–Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerical solutions of all three are ...
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Article
Open AccessOn the Formulation of Mass, Momentum and Energy Conservation in the KdV Equation
The Korteweg-de Vries (KdV) equation is widely recognized as a simple model for unidirectional weakly nonlinear dispersive waves on the surface of a shallow body of fluid. While solutions of the KdV equation d...
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Chapter and Conference Paper
The Stability of Solitary Waves of Depression
We provide a sufficient condition for the orbital stability of negative solitary-wave solutions of the regularized long-wave equation. In particular, it is found that solitary waves with speed
