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8 papers · 2 filters
Almost sure scattering for the one dimensional nonlinear Schrödinger equation
Nicolas Burq, Laurent Thomann
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree . We exhibit measures on the space of initial data for which we describe the non t…
Asymptotic limit for the Stokes and Navier-Stokes problems in a planar domain with a vanishing hole
Alexandre Munnier
We show that the eigenvalues of the Stokes operator in a domain with a small hole converge to the eigenvalues of the Stokes operator in the whole domain, when the diameter of the h…
A Blaschke-Lebesgue Theorem for the Cheeger constant
Antoine Henrot, Ilaria Lucardesi
In this paper we prove a new extremal property of the Reuleaux triangle: it maximizes the Cheeger constant among all bodies of (same) constant width. The proof relies on a fine ana…
Asymptotic behaviour of the Steklov problem on dumbbell domains
Dorin Bucur, Antoine Henrot, Marco Michetti
We analyse the asymptotic behaviour of the eigenvalues and eigenvectors of a Steklov problem in a dumbbell domain consisting of two Lipschitz sets connected by a thin tube with van…
Admissible speeds in spatially periodic bistable reaction-diffusion equations
Weiwei Ding, Thomas Giletti
Spatially periodic reaction-diffusion equations typically admit pulsating waves which describe the transition from one steady state to another. Due to the heterogeneity, in general…
Homogenization of 2D Cahn-Hilliard-Navier-Stokes system
Renata Bunoiu, Giuseppe Cardone, Romaric Kengne +1
In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution…