81 citations · 587 across the 33 of their papers we have counts for
35 papers
Global weak solutions of a Hamiltonian regularised Burgers equation
Billel Guelmame, Stéphane Junca, Didier Clamond +1
A nondispersive, conservative regularisation of the inviscid Burgers equation is proposed and studied. Inspired by a related regularisation of the shallow water system recently int…
Local well-posedness of a Hamiltonian regularisation of the Saint-Venant system with uneven bottom
Billel Guelmame, Didier Clamond, Stéphane Junca
We prove in this note the local (in time) well-posedness of a broad class of symmetrisable hyperbolic system involving additional non-local terms. The latest result im…
Hamiltonian regularisation of the unidimensional barotropic Euler equations
Billel Guelmame, Didier Clamond, Stéphane Junca
Recently, a Hamiltonian regularised shallow water (Saint-Venant) system has been introduced by Clamond and Dutykh. This system is Galilean invariant, linearly non-dispersive and co…
Regularizing effect for conservation laws with a Lipschitz convex flux
Billel Guelmame, Stéphane Junca, Didier Clamond
This paper studies the smoothing effect for entropy solutions of conservation laws with general nonlinear convex fluxes on . Beside convexity, no additional regularity…
Recovery of steady rotational wave profiles from pressure measurements at the bed
Didier Clamond, Joris Labarbe, David Henry
We derive equations relating the pressure at a flat seabed and the free-surface profile for steady gravity waves with constant vorticity. The resulting set of nonlinear equations e…
Explicit Dirichlet-neumann Operator For Water Waves
Didier Clamond
An explicit expression for the Dirichlet-Neumann operator for surface water waves is presented. For non-overturning waves, but without assuming small amplitudes, the formula is fir…