71 citations · 303 across the 42 of their papers we have counts for
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math.CA2010
Convergence to equilibrium in competitive Lotka-Volterra equations
Nicolas Champagnat, Pierre-Emmanuel Jabin, Gael Raoul
We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in two previous articles to prove th…
math.CA2009★ 21 cited
Well-posedness in any dimension for Hamiltonian flows with non BV force terms
Nicolas Champagnat, Pierre-Emmanuel Jabin
We study existence and uniqueness for the classical dynamics of a particle in a force field in the phase space. Through an explicit control on the regularity of the trajectories, w…