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math.AP2025
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…
math.AP2020
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…