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Publications associées (422)
A Spectral Ansatz for The Long-Time Homogenization of The Wave Equation
- Consider the wave equation with heterogeneous coefficients in the homogenization regime. At large times, the wave interacts in a nontrivial way with the heterogeneities, giving rise to effective dispersive effects. The main achievement of the present wor ...
Oblique streaming waves observed in multipactor-induced plasma discharge above a dielectric surface
In a recent discovery (Wen et al 2022 Phys. Rev. Lett. 129 045001), streaming waves were found in multipactor-induced plasma discharges. However, due to the limitations of a 1D simulation setup, these waves displayed only transverse dynamics. In this lette ...
2024A machine learning architecture for including wave breaking in envelope-type wave models
Wave breaking is a complex physical process about which open questions remain. For some applications, it is critical to include breaking effects in phase-resolved envelope-based wave models such as the non-linear Schr & ouml;dinger. A promising approach is ...
Pergamon-Elsevier Science Ltd2024Probabilistic and Deterministic Wellposedness for Low Regularity Dispersive Equations
Katie Sabrina Catherine Rosie Marsden
In this thesis we will present two results on global existence for nonlinear dispersive equations with data at or below the scaling regularity. In chapter 1 we take a probabilistic perspective to study the energy-critical nonlinear Schrödinger equation in ...
EPFL2024Roger F. Harrington and the Method of Moments: Part 2: Electrodynamics
The method of moments (MOM), as introduced by Roger F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (IE) formulations applied to both electrostatic (part 1) and electrodynamic or full-wave problem ...
Piscataway2024Optothermal shaping of lamb waves with square and spiral phase fronts
Romain Christophe Rémy Fleury, Janez Rus, Aleksi Antoine Bossart
We introduce a Lamb-wave medium with tunable propagation velocities, which are controlled by a two-dimensional heating pattern produced by a laser beam. We utilized it to demonstrate that waves in an appropriately designed medium can propagate in the form ...
2024Roger F. Harrington and the Method of Moments: Part 1: Electrostatics
The method of moments (MOM), as introduced by R. F. Harrington more than 50 years ago, is reviewed in the context of the classic potential integral equation (PIE) formulations applied to both electrostatic (part 1) and electrodynamic, or full-wave, problem ...
Piscataway2024Global Regularity For The Nonlinear Wave Equation With Slightly Supercritical Power
Maria Colombo, Silja Noëmi Aline Haffter
We consider the defocusing nonlinear wave equation ❑u D jujp ⠀1u in R3 ⠂ & UOELIG;0; 1/. We prove that for any initial datum with a scaling-subcritical norm bounded by M0 the equation is globally well-posed for p D 5 C i, where i 2 .0; ...
MATHEMATICAL SCIENCE PUBL2023A synthetic phase-contrast imaging diagnostic with spatial filtering for gyrokinetic simulations
Stefano Coda, Stephan Brunner, Justin Richard Ball, Gabriele Merlo, Aylwin Iantchenko
A Phase-contrast imaging (PCI) diagnostic provides measurements of line-integrated electron density fluctuations. Localisation along the laser beam path can be achieved with a spatial filter that selects the wave-vector directions of the fluctuations contr ...
IOP Publishing Ltd2023Nonlocally-resonant metamaterials
In this thesis, we unveil a third design path to manipulate elastic waves within architected media, distinct from the traditional phononic crystal and locally-resonant metamaterial concepts. The core innovation lies in the concept of nonlocal resonances, d ...
EPFL2023