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10 papers · 1 filter
Lower bound for the number of critical points of minimal spectral k-partitions for k large
Bernard Helffer
In a recent paper with Thomas Hoffmann-Ostenhof, we proved that the number of critical points in the boundary set of a k-minimal partition tends to infinity as k tends to infinity.…
Singular-value decomposition of solution operators to model evolution equations
Alexandru Aleman, Joe Viola
We consider evolution equations generated by quadratic operators admitting a decomposition in creation-annihilation operators without usual ellipticity-type hypotheses; this class…
Asymptotic behavior of the nonlinear Schrödinger equation with harmonic trapping
Zaher Hani, Laurent Thomann
We consider the cubic nonlinear Schrödinger equation with harmonic trapping on (). In the case when all but one directions are trapped (a.k.a "cigar-s…
Chambers's formula for the graphene and the Hou model with kagome periodicity and applications
Bernard Helffer, Philippe Kerdelhué, Jimena Royo-Letelier
The aim of this article is to prove that for the graphene model like for a model considered by the physicist Hou on a kagome lattice, there exists a formula which is similar to the…
Study of degenerate parabolic system modeling the hydrogen displacement in a nuclear waste repository
Florian Caro, Bilal Saad, Mazen Saad
Our goal is the mathematical analysis of a two phase (liquid and gas) two components (water and hydrogen) system modeling the hydrogen displacement in a storage site for radioactiv…
Semi-classical dispersive estimates
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove dispersive estimates for the wave and Schrodinger groups associated to a second-order elliptic self-adjoint operator depending on a semi-classical parameter. Applications…