17 citations · 18 across the 4 of their papers we have counts for
3 papers · 1 filter
Travelling waves in a dispersion-saturating diffusion equation
Gnord Maypaokha, Nabil Bedjaoui, Joaquim M. C. Correia +1
In the framework of hyperbolic conservation laws regularised by including diffusive and dispersive terms, we study monotone travelling waves for the generalised Rosenau-Korteweg de…
Initial value problem for one-dimensional rotating shallow water equations
Nabil Bedjaoui, Vivien Desveaux, Olivier Goubet +1
In this article we address some issues related to the initial value problems for a rotating shallow water hyperbolic system of equations and the diffusive regularization of this sy…
On the validity of Chapman-Enskog expansions for shock waves with small strength
Nabil Bedjaoui, Christian Klingenberg, Philippe G. LeFloch
We justify a Chapman-Enskog expansion for discontinuous solutions of hyperbolic conservation laws containing shock waves with small strength. Precisely, we establish pointwise unif…