6 papers
Weyl asymptotics for singular metrics with a variable boundary degeneracy exponent
Yves Colin de Verdière, Charlotte Dietze, Emmanuel Trélat
We consider a compact smooth manifold of dimension with boundary . In a collar neighborhood of , we assume that the metric has the form …
A solution to the mystery of the sub-harmonic series via a linear model of the cochlea
Ugo Boscain, Xiangyu Ma, Dario Prandi +1
In this paper, we study a simple linear model of the cochlea as a set of vibrating strings. We make hypothesis that the information sent to the auditory cortex is the energy stored…
A Berger-Wang formula for impulsive switched systems
Yacine Chitour, Jamal Daafouz, Ihab Haidar +2
This paper addresses a class of impulsive systems defined by a mix of continuous-time and discrete-time switched linear dynamics. We first analyze a related class of weighted discr…
Multiobjective Optimization under Uncertainties using Conditional Pareto Fronts
Victor Trappler, Céline Helbert, Rodolphe Le Riche
In this work, we propose a novel method to tackle the problem of multiobjective optimization under parameteric uncertainties, by considering the Conditional Pareto Sets and Conditi…
On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
D Han-Kwan, Ã Miot, A Moussa +1
We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the…
Weak solutions of a viscous model for fluid-bubbles interaction
Cosmin Burtea, David Gérard-Varet
We present a system of Navier-Stokes type that describes the dynamics of several spherical bubbles of gas in a liquid. It is derived from a more complete model, where the bubbles a…