Publications related to Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Computational Design of Flexible Planar Microstructures

Mark Pauly, Francis Julian Panetta, Tian Chen, Christopher Brandt, Jean Jouve

Mechanical metamaterials enable customizing the elastic properties of physical objects by altering their fine-scale structure. A broad gamut of effective material properties can be produced even from a single fabrication material by optimizing the geometry ...

2023

Oligomodal metamaterials with multifunctional mechanics

Aleksi Antoine Bossart

Mechanical metamaterials are artificial composites that exhibit a wide range of advanced functionalities such as negative Poisson's ratio, shape shifting, topological protection, multistability, extreme strength-to-density ratio, and enhanced energy dissip ...

NATL ACAD SCIENCES2021

Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

2020

Investigation of femtosecond laser-tuned thermomechanical properties of fused silica

Pieter Vlugter

The thermomechanical properties of materials are among the most important properties for designing precision instruments, in particular for devices seeking high-dimensional stability, invariant temperature-elastic properties or low thermoelastic losses. De ...

EPFL2020

Non-reciprocal manipulation of subwavelength fields in locally-resonant metamaterial crystals

Romain Christophe Rémy Fleury, Farzad Zangeneh Nejad, Nadège Sihame Kaïna

Locally-resonant metamaterial crystals are artificial materials built from small spatially-local resonant inclusions arranged periodically at subwavelength scale. Unlike conventional continuous metamaterials, for which spatial dispersion originates mostly ...

2019

Active acoustic resonators with reconfigurable resonance frequency, absorption, and bandwidth

Romain Christophe Rémy Fleury, Hervé Lissek, Etienne Thierry Jean-Luc Rivet, Theodoros Koutserimpas

Acoustic resonators play a key role in the development of subwavelength-sized technologies capable of interacting with airborne audible sound, from its emission and absorption to its manipulation and processing. Specifically, artificial acoustic media made ...

2019

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Gérôme Graf

I will try to explain, without going into too much detail, how one can consider a non-linear wave equation as a dynamical system and what it brings to the study of its solutions. We begin by considering our model case, the non-linear Klein-Gordon equation ...

EPFL2019

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials

Romain Christophe Rémy Fleury

Locally-resonant sonic metamaterials refer to synthetic acoustic matter composed of artificial acoustic “atoms”, generally passive, and of subwavelength sizes, that are capable of resonantly interacting with an external acoustic wave, and manipulate it in ...

2019

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

Joachim Krieger

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\mathbb{R}^{3+1}

constructed in [28], [27] are stable along a co-dimension three manifold of radial data perturbations in a suit ...

2018

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

MATHICSE2017

Approximate cloaking for the full wave equation via change of variables: The Drude-Lorentz model

Graph Chatbot

Chat with Graph Search

Computational Design of Flexible Planar Microstructures

Oligomodal metamaterials with multifunctional mechanics

Symplectic dynamical low rank approximation of wave equations with random parameters

Investigation of femtosecond laser-tuned thermomechanical properties of fused silica

Non-reciprocal manipulation of subwavelength fields in locally-resonant metamaterial crystals

Active acoustic resonators with reconfigurable resonance frequency, absorption, and bandwidth

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Symplectic dynamical low rank approximation of wave equations with random parameters

Oligomodal metamaterials with multifunctional mechanics

Computational Design of Flexible Planar Microstructures

Stable Manifold for the Critical Non-Linear Wave Equation: A Fourier Theory Approach

Investigation of femtosecond laser-tuned thermomechanical properties of fused silica

On stability of type II blow up for the critical NLW on $\mathbb{R}^{3+1}$

MATHICSE Technical Report : Symplectic dynamical low rank approximation of wave equations with random parameters

Active acoustic resonators with reconfigurable resonance frequency, absorption, and bandwidth

Non-reciprocal manipulation of subwavelength fields in locally-resonant metamaterial crystals

Active Acoustic Resonators and their Applications to Loss-Immune, Reconfigurable, or Dynamic Metamaterials