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7 papers · 2 filters
Spectral asymptotics of a broken delta interaction
Vincent Duchene, Nicolas Raymond
This paper is concerned with the spectral analysis of a Hamiltonian with a -interaction supported along a broken line with angle . The bound states with energy slightly below…
Fractional diffusion limit for a stochastic kinetic equation
Sylvain De Moor
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed tes…
On the eigenvalues of Aharonov-Bohm operators with varying poles
Virginie Bonnaillie-Noël, Benedetta Noris, Manon Nys +1
We consider a magnetic operator of Aharonov-Bohm type with Dirichlet boundary conditions in a planar domain. We analyse the behavior of its eigenvalues as the singular pole moves i…
Magnetic Neumann Laplacian on a sharp cone
Virginie Bonnaillie-Noël, Nicolas Raymond
This paper is devoted to the spectral analysis of the Laplacian with constant magnetic field on a cone of aperture and Neumann boundary condition. We analyze the influence of t…
On the rigid-lid approximation for two shallow layers of immiscible fluids with small density contrast
Vincent Duchene
The rigid-lid approximation is a commonly used simplification in the study of density-stratified fluids in oceanography. Roughly speaking, one assumes that the displacements of the…
Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface
Matteo Dalla Riva, Paolo Musolino
We consider the asymptotic behaviour of the effective thermal conductivity of a two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of in…