779 citations
- École PolytechniqueFR888 papers
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23 papers · 1 filter
Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequality
Patrick Cattiaux, Arnaud Guillin, Feng-Yu Wang +1
We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincaré inequality (for instance logarithmic Sobolev or -Sobolev). The case of P…
An Asymptotic Formalism for Reconstructing Small Perturbations of Scatterers from Electric or Acoustic Far-Field Measurements
Mikyoung Lim, Kaouthar Louati, Habib Zribi
We consider the problem of determining the boundary perturbations of an object from far-field electric or acoustic measurements. Assuming that the unknown object boundary is a smal…
Conservation laws with vanishing nonlinear diffusion and dispersion
Philippe G. LeFloch, Roberto Natalini
We study the limiting behavior of the solutions to a class of conservation laws with vanishing nonlinear diffusion and dispersion terms. We prove the convergence to the entropy sol…
Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions
Philippe G. LeFloch, Jian-Guo Liu
Solutions to conservation laws satisfy the monotonicity property: the number of local extrema is a non-increasing function of time, and local maximum/minimum values decrease/increa…
A large deviation approach to optimal transport
Christian Léonard
A probabilistic method for solving the Monge-Kantorovich mass transport problem on is introduced. A system of empirical measures of independent particles is built in such a w…
Preliminary results on the homogenization of thin piezoelectric perforated shells
Houari Mechkour
We consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness. In this work, we give a new approach based on the periodic unfold…