5 citations · 5 across the 3 of their papers we have counts for
4 papers
Shape derivative for the Dirichlet-to-Neumann operator on a manifold and application to cellular protrusion
F Noisette
We establish a shape-derivative formula for the Dirichlet-to-Neumann operator on a compact manifold. Then, we apply this formula to obtain the well-posedness in H 1 under a specifi…
Uniqueness for the Camassa-Holm equation with non-homogeneous boundary conditions
Florent Noisette
We establish the uniqueness of solutions of the Camassa-Holm equation on a finite interval with non-homogeneous boundary conditions in the case of bounded momentum. A similar resul…
Uniqueness of Yudovich's solutions to the 2D incompressible Euler equation despite the presence of sources and sinks
Florent Noisette, Franck Sueur
In , Yudovich proved the existence and uniqueness of classical solutions to the 2D incompressible Euler equations in the case where the fluid occupies a bounded domain with e…
Mixing solutions for the Muskat problem with variable speed
Florent Noisette, László Székelyhidi
We provide a quick proof of the existence of mixing weak solutions for the Muskat problem with variable mixing speed. Our proof is considerably shorter and extends previous results…