2 papers
math.NA2023
A paradigm for well-balanced schemes for traveling waves emerging in parabolic biological models
Mete Demircigil, Benoit Fabreges
We propose a methodology for designing well-balanced numerical schemes to investigate traveling waves in parabolic models from mathematical biology. We combine well-balanced techni…
math.AP2021
Relaxation limit of the aggregation equation with pointy potential
Benoît Fabrèges, Frédéric Lagoutière, Tran Tien +1
This work is devoted to the study of a relaxation limit of the so-called aggregation equation with a pointy potential in one dimensional space. The aggregation equation is by now w…