779 citations
- École PolytechniqueFR888 papers
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6 papers · 2 filters
On the heat diffusion for generic Riemannian and sub-Riemannian structures
Davide Barilari, Ugo Boscain, Grégoire Charlot +1
In this paper we provide the small-time heat kernel asymptotics at the cut locus in three relevant cases: generic low-dimensional Riemannian manifolds, generic 3D contact sub-Riema…
Role of non-ideality for the ion transport in porous media: derivation of the macroscopic equations using upscaling
Gregoire Allaire, Robert Brizzi, Jean-Francois Dufreche +2
This paper is devoted to the homogenization (or upscaling) of a system of partial differential equations describing the non-ideal transport of a N-component electrolyte in a dilute…
On the asymptotics of a Robin eigenvalue problem
Fioralba Cakoni, Nicolas Chaulet, Houssem Haddar
The considered Robin problem can formally be seen as a small perturbation of a Dirichlet problem. However, due to the sign of the impedance value, its associated eigenvalues conver…
Self-adjoint extensions and stochastic completeness of the Laplace-Beltrami operator on conic and anticonic surfaces
Ugo Boscain, Dario Prandi
We study the evolution of the heat and of a free quantum particle (described by the Schrödinger equation) on two-dimensional manifolds endowed with the degenerate Riemannian metric…
Hypoelliptic diffusion and human vision: a semi-discrete new twist
Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +1
This paper presents a semi-discrete alternative to the theory of neurogeometry of vision, due to Citti, Petitot and Sarti. We propose a new ingredient, namely working on the group…
Discrete limit and monotonicity properties of the Floquet eigenvalue in an age structured cell division cycle model
Stéphane Gaubert, Thomas Lepoutre
We consider a cell population described by an age-structured partial differential equation with time periodic coefficients. We assume that division only occurs after a minimal age…