227 citations · 364 across the 13 of their papers we have counts for
15 papers
A Nonisothermal Thermodynamical Model Of Liquid-vapor Interaction With Metastability
Hala Ghazi, Francois James, Hélène Mathis
The paper concerns the construction of a compressible liquid-vapor relaxation model which is able to capture the metastable states of the non isothermal van der Waals model as well…
Towards a new friction model for shallow water equations through an interactive viscous layer
François James, Pierre-Yves Lagrée, Hoang-Minh Le +1
The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based…
One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation
Francois James, Nicolas Vauchelet
The nonlocal nonlinear aggregation equation in one space dimension is investigated. In the so-called attractive case smooth solutions blow up in finite time, so that weak measure s…
A relaxation model for liquid-vapor phase change with metastability
Francois James, Hélène Mathis
We propose a model that describes phase transition including meta\-stable states present in the van der Waals Equation of State. From a convex optimization problem on the Helmoltz…
The Filippov characteristic flow for the aggregation equation with mildly singular potentials
José Antonio Carrillo, Francois James, Frédéric Lagoutière +1
Existence and uniqueness of global in time measure solution for the multidimensional aggregation equation is analyzed. Such a system can be written as a continuity equation with a…
Numerical methods for one-dimensional aggregation equations
Francois James, Nicolas Vauchelet
We focus in this work on the numerical discretization of the one dimensional aggregation equation $\pa_tρ+ \pa_x (vρ)=0$, , in the attractive case. Finite time blow up o…