27 citations · 56 across the 12 of their papers we have counts for
15 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…
Kinetic formulation of a 2 2 hyperbolic system arising in gas chromatography
C Bourdarias, M Gisclon, Stéphane Junca
The PSA system commonly used in the context of gas-solid chromatography is reformulated as a single kinetic equation using an additional kinetic variable. A kinetic numerical schem…
A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves
Christian Bourdarias, Stéphane Gerbi, Ralph Lteif
In this paper we introduce a new reformulation of the Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves over a flat topography derived by Duchêne,…
Fractional BV spaces and first applications to scalar conservation laws
Christian Bourdarias, Marguerite Gisclon, Stéphane Junca
The aim of this paper is to obtain new fine properties of entropy solutions of nonlinear scalar conservation laws. For this purpose, we study some "fractional spaces" denoted…
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We recall the PFS model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated…
A mathematical model for unsteady mixed flows in closed water pipes
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-…