Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Showing 2019 · math.APShow all

7 papers · 2 filters

math.AP2019★ 1 cited

Concentration and confinement of eigenfunctions in a bounded open set (version 2)

Assia Benabdallah, Matania Ben-Artzi, Yves Dermenjian

Consider the Dirichlet-Laplacian in $Ω := (0, L) \times (0, H)$ and choose another open set $ω \subset Ω$ . The estimate $0<C_ω\leq R_ω(u):=\frac{\Vert u\Vert^{2}_{L^{2}(ω)}}{\Vert u\Ver…

math.AP2019

A Wasserstein norm for signed measures, with application to nonlocal transport equation with source term

Benedetto Piccoli, Francesco Rossi, Magali Tournus

We introduce the optimal transportation interpretation of the Kantorovich norm on thespace of signed Radon measures with finite mass, based on a generalized Wasserstein distancefor…

math.AP2019★ 4 cited

Circular flows for the Euler equations in two-dimensional annular domains

Francois Hamel, Nikolai Nadirashvili

In this paper, we consider steady Euler flows in two-dimensional bounded annuli, as well as in exterior circular domains, in punctured disks and in the punctured plane. We always a…

math.AP2019★ 39 cited

Two-dimensional Dirac operators with singular interactions supported on closed curves

Jussi Behrndt, Markus Holzmann, Thomas Ourmières-Bonafos +1

We study the two-dimensional Dirac operator with an arbitrary combination of electrostatic and Lorentz scalar $δ$ -interactions of constant strengths supported on a smooth closed cu…

math.AP2019★ 8 cited

Existence and regularity of Faber Krahn minimizers in a Riemannian manifold

Jimmy Lamboley, Pieralberto Sicbaldi

In this paper, we study the minimization of $λ_{1} (Ω)$ , the first Dirichlet eigenvalue of the Laplace-Beltrami operator, within the class of open sets $Ω$ of fixed volume in a Riem…

math.AP2019★ 2 cited

Boundary null-controllability of two coupled parabolic equations : simultaneous condensation of eigenvalues and eigenfunctions

Hadji El, El Hadji Samb

Let the matrix operator $L = D \partial_{xx} + q (x) A_{0}$ , with $D = d ia g (1, ν)$ , $ν \neq = 1$ , $q \in L^{\infty} (0,$ π $)$ , and $A_{0}$ is a Jordan block of order 1. We analyze the bound…