23 citations · 58 across the 18 of their papers we have counts for
23 papers
On the dynamics of leapfrogging vortex rings
Martin Donati, Lars Eric Hientzsch, Christophe Lacave +1
The evolution of highly concentrated vorticity around rings in the three-dimensional axisymmetric Euler equations is studied in a regime for which the leapfrogging dynamics predict…
Dynamics of helical vortex filaments in non viscous incompressible flows
Martin Donati, Christophe Lacave, Evelyne Miot
In this paper we study concentrated solutions of the three-dimensional Euler equations in helical symmetry without swirl. We prove that any helical vorticity solution initially con…
Dynamics of several point vortices for the lake equations
Lars Eric Hientzsch, Christophe Lacave, Evelyne Miot
The global asymptotic dynamics of point vortices for the lake equations is rigorously derived. Vorticity that is initially sharply concentrated around distinct vortex centers i…
Lake equations with an evanescent or emergent island
Lars Hientzsch, Christophe Lacave, Evelyne Miot
We study the asymptotic dynamics of the lake equations in the following two cases, an island shrinking to a point and an emerging island. For both cases, we derive an asymptotic la…
On solutions of the transport equation in the presence of singularities
Evelyne Miot, Nicholas Sharples
We consider the transport equation on in the situation where the vector field is off a set . We demonstrate that…
The gyrokinetic limit for the Vlasov-Poisson system with a point charge
Evelyne Miot
We consider the asymptotics of large external magnetic field for a 2D Vlasov-Poisson system governing the evolution of a bounded density interacting with a point charge. In a suita…