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- École Normale Supérieure - PSLFR647 papers
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14 papers · 2 filters
Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CAL…
The water waves equations: from Zakharov to Euler
Thomas Alazard, Nicolas Burq, Claude Zuily
Starting form the Zakharov/Craig-Sulem formulation of the water-waves equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equ…
On the Cauchy problem for gravity water waves
Thomas Alazard, Nicolas Burq, Claude Zuily
We are interested in the system of gravity water waves equations without surface tension. Our purpose is to study the optimal regularity thresholds for the initial conditions. In t…
On the controllability of the relativistic Vlasov-Maxwell system
Olivier Glass, Daniel Han-Kwan
In this paper, we study the controllability of the two-dimensional relativistic Vlasov-Maxwell system in a torus, by means of an interior control. We give two types of results. Wit…
From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
Daniel Han-Kwan
We introduce a long wave scaling for the Vlasov-Poisson equation and derive, in the cold ions limit, the Korteweg-De Vries equation (in 1D) and the Zakharov-Kuznetsov equation (in…
From Newton to Boltzmann: hard spheres and short-range potentials
Isabelle Gallagher, Laure Saint-Raymond, Benjamin Texier
We provide a rigorous derivation of the Boltzmann equation as the mesoscopic limit of systems of hard spheres, or Newtonian particles interacting via a short-range potential, as th…