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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 ...