20 citations · 22 across the 3 of their papers we have counts for
3 papers
math.AP2013
A priori estimates and analytical construction of radially symmetric solutions in the gas dynamics
Magali Lécureux-Mercier
In this article we derive C^1-a priori estimates on the Riemann invariants of the Euler compressible equations in the case of cylindrical or spherical symmetry. These estimates all…
math.AP2011★ 2 cited
Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
Gianluca Crippa, Magali Lécureux-Mercier
In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a…
math.AP2010★ 20 cited
An Analytical Framework to Describe the Interactions Between Individuals and a Continuum
Rinaldo M. Colombo, Magali Lécureux-Mercier
We consider a discrete set of individual agents interacting with a continuum. Examples might be a predator facing a huge group of preys, or a few shepherd dogs driving a herd of sh…