Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Bourdarias, Christian"'
Publikováno v:
SIAM J. Math. Anal., Volume 54, Number 1, Pages 791--817 (2022)
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 value problem. Adding a stronger transversality assumption on the fields
Externí odkaz:
http://arxiv.org/abs/2402.16820
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 Duch\^ene, Israwi and Talhouk. These new Green-Naghdi systems are adapted to i
Externí odkaz:
http://arxiv.org/abs/1702.02810
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 $BV$ spaces" denoted $BV^s$, for $0 < s \leq 1$, introduced by Love and Young in 1937. The
Externí odkaz:
http://arxiv.org/abs/1302.1650
Autor:
Demay, Charles, Bourdarias, Christian, de Meux, Benoît de Laage, Gerbi, Stéphane, Hérard, Jean-Marc
Publikováno v:
In Journal of Computational and Applied Mathematics 15 January 2019 346:357-377
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 as a free boundary associated to a discontinuity of the gradient of p
Externí odkaz:
http://arxiv.org/abs/1107.1330
Publikováno v:
Science China Mathematics 55, 2 (2012) 221-244
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-model is formally obtained, using formal asymptotic analysis, which is
Externí odkaz:
http://arxiv.org/abs/1106.2081
Publikováno v:
Journal of Scientific Computing 48, 1-3 (2011) pp. 89-104
We present a numerical kinetic scheme for an unsteady mixed pressurised and free surface model. This model has a source term depending on both the space variable and the unknown, U, of the system. The source term is composed by a topography, a sectio
Externí odkaz:
http://arxiv.org/abs/0911.4269
Publikováno v:
ESAIM: M2AN, Mathematical Modelling and Numerical Analysis 47 (2013) 507-538
In this paper, we first construct a model for free surface flows that takes into account the air entrainment by a system of four partial differential equations. We derive it by taking averaged values of gas and fluid velocities on the cross surface f
Externí odkaz:
http://arxiv.org/abs/0910.0334
We consider an initial boundary value problem for a 2x2 system of conservation laws modeling heatless adsorption of a gaseous mixture with two species and instantaneous exchange kinetics, close to the system of Chromatography. In this model the veloc
Externí odkaz:
http://arxiv.org/abs/0907.1733
We investigate a system related to a particular isothermal gas-solid chromatography process, called ?Pressure Swing Adsorption?, with two species and instantaneous exchange kinetics. This system presents the particularity to have a linearly degenerat
Externí odkaz:
http://arxiv.org/abs/0905.4119