26 citations · 29 across the 5 of their papers we have counts for
3 papers · 1 filter
An analytical solution of Shallow Water system coupled to Exner equation
Christophe Berthon, Stéphane Cordier, Minh H. Le +1
In this paper, an exact smooth solution for the equations modeling the bedload transport of sediment in Shallow Water is presented. This solution is valid for a large family of sed…
Late-time/stiff relaxation asymptotic-preserving approximations of hyperbolic equations
Christophe Berthon, Philippe G. LeFloch, Rodolphe Turpault
We investigate the late-time asymptotic behavior of solutions to nonlinear hyperbolic systems of conservation laws containing stiff relaxation terms. First, we introduce a Chapman-…
Why many theories of shock waves are necessary. Kinetic relations for nonconservative systems
Christophe Berthon, Frédéric Coquel, Philippe G. LeFloch
For a class of nonconservative hyperbolic systems of partial differential equations endowed with a strictly convex mathematical entropy, we formulate the initial value problem by s…