2 citations · 5 across the 16 of their papers we have counts for
Showing 2022Show all
2 papers · 1 filter
math.AP2022★ 1 cited
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…
math.NA2022★ 1 cited
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system
Maxime Herda, Antoine Zurek
In this paper we analyse a finite volume scheme for a nonlocal version of the Shigesada-Kawazaki-Teramoto (SKT) cross-diffusion system. We prove the existence of solutions to the s…