1 citations · 1 across the 10 of their papers we have counts for
11 papers
A Uniqueness theorem for the Vortex-Wave system with non-constant vorticity near the point vortex
David Meyer
We study the uniqueness of the vortex wave system, i.e.\ the 2D incompressible Euler equations with vorticity consisting of a point vortex and a bounded part. We show that if the i…
Vortex-sheet desingularization for three-dimensional ideal fluids
Alberto Enciso, Antonio J. Fernández, David Meyer
We prove a desingularization theorem for analytic vortex sheets of the 3D incompressible Euler equations. Starting from an analytic solution of the corresponding Birkhoff-Rott syst…
On the attainment of boundary data in variational problems with linear growth
David Meyer
It is well-known that convex variational problems with linear growth and Dirichlet boundary conditions might not have minimizers if the boundary condition is not suitably relaxed.…
Motion of a massive rigid loop in a 3D perfect incompressible flow
Olivier Glass, David Meyer, Franck Sueur
We consider the motion of a rigid body immersed in an inviscid incompressible fluid. In 2D, an important physical effect associated with this system is the famous Kutta-Joukowski e…
Long time confinement of multiple concentrated vortices
David Meyer
We study the stability of multiple almost circular concentrated vortices in a fluid evolving according to the two-dimensional Euler equations. We show that, for general configurati…
Desingularization of vortex sheets for the 2D Euler equations
Alberto Enciso, Antonio J. Fernández, David Meyer
We show how to regularize vortex sheets by means of smooth, compactly supported vorticities that asymptotically evolve according to the Birkhoff-Rott vortex sheet dynamics. More pr…
Steady bubbles and drops in inviscid fluids
David Meyer, Lukas Niebel, Christian Seis
We construct steady non-spherical bubbles and drops, which are traveling wave solutions to the axisymmetric two-phase Euler equations with surface tension, whose inner phase is a b…
Steady Ring-Shaped Vortex Sheets
David Meyer, Christian Seis
In this work, we construct traveling wave solutions to the two-phase Euler equations, featuring a vortex sheet at the interface between the two phases. The inner phase exhibits a u…
Optimal Regularity for the 2D Euler Equations in the Yudovich class
Nicola de Nitti, David Meyer, Christian Seis
We analyze the optimal regularity that is exactly propagated by a transport equation driven by a velocity field with BMO gradient. As an application, we study the 2D Euler equation…
Total -variation flows
David Meyer
We study the -gradient flows, , of functionals of the type , where is a conve…
Propagation of regularity for transport equations. A Littlewood-Paley approach
David Meyer, Christian Seis
It is known that linear advection equations with Sobolev velocity fields have very poor regularity properties: Solutions propagate only derivatives of logarithmic order, which can…