10 citations · 45 across the 17 of their papers we have counts for
19 papers
Entropy solutions in for a class of triangular systems involving a transport equation
Christian Bourdarias, Anupam Pal Choudhury, Billel Guelmame +1
In this article, we consider a class of strictly hyperbolic triangular systems involving a transport equation. Such systems are known to create measure solutions for the initial va…
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…
Optimal regularity for all time for entropy solutions of conservation laws in
Shyam Sundar Ghoshal, Billel Guelmame, Animesh Jana +1
This paper deals with the optimal regularity for entropy solutions of conservation laws. For this purpose, we use two key ingredients: (a) fine structure of entropy solutions and (…
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…