17 citations · 21 across the 3 of their papers we have counts for
4 papers
Range convergence monotonicity for vector measures and range monotonicity of the mass
Justin Dekeyser, Jean Van Schaftingen
We prove that the range of sequence of vector measures converging widely satisfies a weak lower semicontinuity property, that the convergence of the range implies the strict conver…
Vortex motion for the lake equations
Justin Dekeyser, Jean Van Schaftingen
The lake equations $$\left\{\begin{aligned} \nabla \cdot \big( b \, \mathbf{u}\big) &= 0 & & \text{on}\ \mathbb{R}\times D,\\ \partial_t\mathbf{u} + (\mathbf{u}\cdot \nabla)\mathbf…
Desingularization of a steady vortex pair in the lake equation
Justin Dekeyser
We construct a family of steady solutions of the lake model perturbed by some small Coriolis force, that converge to a singular vortex pair. The desingularized solutions are obtain…
Approximation of symmetrizations by Markov processes
Justin Dekeyser, Jean Van Schaftingen
Under continuity and recurrence assumptions, we prove that the iteration of successive partial symmetrizations that form a time-homogeneous Markov process, converges to a symmetriz…