From the 1 of 5.5k papers with an AI index.
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19 papers · 2 filters
Asymptotic analysis of the transmission eigenvalue problem for a Dirichlet obstacle coated by a thin layer of non-absorbing media
Fioralba Cakoni, Nicolas Chaulet, Houssem Haddar
We consider the transmission eigenvalue problem for an impenetrable obstacle with Dirichlet boundary condition surrounded by a thin layer of non-absorbing inhomogeneous material. W…
Scalable and Quasi-Contractive Markov Coupling of Maxwell Collision
Mathias Rousset
This paper considers space homogenous Boltzmann kinetic equations in dimension with Maxwell collisions (and without Grad's cut-off). An explicit Markov coupling of the associat…
Invariant measure of scalar first-order conservation laws with stochastic forcing
Arnaud Debussche, Julien Vovelle
Under an hypothesis of non-degeneracy of the flux, we study the long-time behaviour of periodic scalar first-order conservation laws with stochastic forcing in any space dimension.…
On a voltage-conductance kinetic system for integrate and fire neural networks
Benoit Perthame, Delphine Salort
The voltage-conductance kinetic equation for integrate and fire neurons has been used in neurosciences since a decade and describes the probability density of neurons in a network.…
Reconstruction of constitutive parameters in isotropic linear elasticity from noisy full-field measurements
Guillaume Bal, Cédric Bellis, Sébastien Imperiale +1
Within the framework of linear elasticity we assume the availability of internal full-field measurements of the continuum deformations of a non-homogeneous isotropic solid. The aim…
On the controllability of quantum transport in an electronic nanostructure
Florian Méhats, Yannick Privat, Mario Sigalotti
We investigate the controllability of quantum electrons trapped in a two-dimensional device, typically a MOS field-effect transistor. The problem is modeled by the Schrödinger equa…