15 citations · 38 across the 10 of their papers we have counts for
13 papers
Multiple solutions and simulations for an Ion Flow Field problem applied to HVDC transmission lines
Madeline Chauvier, Serge Nicaise, Christophe Troestler +1
This paper initiates a mathematical investigation of a PDE model for the transport of high voltage direct current via overhead lines. We prove the existence of infinitely many solu…
Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions
Benoît Merlet, Juliette Venel, Antoine Zurek
This work is part of a general study on the long-term safety of the geological repository of nuclear wastes. A diffusion equation with a moving free boundary in one dimension is in…
On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
Clément Cancès, Juliette Venel
We study a finite volume scheme for the approximation of the solution to convection diffusion equations with nonlinear convection and Robin boundary conditions. The scheme builds o…
Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion
Clément Cancès, Claire Chainais-Hillairet, Benoît Merlet +2
We are interested in a reduced model for corrosion of iron, in which ferric cations and electrons evolve in a fixed oxide layer subject to a self-consistent electrostatic potential…
Sweeping process by prox-regular sets in Riemannian Hilbert manifolds
Frédéric Bernicot, Juliette Venel
In this paper, we deal with sweeping processes on (possibly infinite-dimensional) Riemannian Hilbert manifolds. We extend the useful notions (proximal normal cone, prox-regularity)…
Handling congestion in crowd motion modeling
B. Maury, A. Roudneff-Chupin, F. Santambrogio +1
We address here the issue of congestion in the modeling of crowd motion, in the non-smooth framework: contacts between people are not anticipated and avoided, they actually occur,…