Publications related to Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

In a recent work we constructed future-global-in-time large solution to the Cauchy problem for semi-linear wave equation on R3+1 with nonlinear terms satisfying the null conditions. In this article we show that the method also applies to energy-supercritic ...

AMER MATHEMATICAL SOC2019

Approximate Cloaking via Transformation Optics for Electromagnetic Waves

Xuan Loc Tran

Cloaking via transformation optics was introduced by Pendry, Schurig, and Smith for the Maxwell system and Leonhardt in the geometric optics setting. They used a singular change of variables which blows up a point into a cloaked region. The same transforma ...

EPFL2018

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Jean-Philippe Lucien Montillet

Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with a particular application to the wave equation [ 15]. To do so, the author ha ...

Int Center Scientific Research & Studies2017

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

Multiscale or multiphysics partial differential equations are used to model a wide range of physical systems with various applications, e.g. from material and natural science to problems in biology or engineering. When the ratio between the smallest scale ...

EPFL2017

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Timothée Noé Pouchon, Assyr Abdulle

A family of effective equations for the wave equation in locally periodic media over long time is derived. In particular, explicit formulas for the effective tensors are provided. To validate the derivation, an a priori error estimate between the effective ...

MATHICSE2017

Saturation of the response to stochastic forcing in two-dimensional backward-facing step flow: A self-consistent approximation

François Gallaire, Vladislav Mantic Lugo

Selective noise amplifiers are characterized by large linear amplification to external perturbations in a particular frequency range despite their global linear stability. Applying a stochastic forcing with increasing amplitude, the response undergoes a st ...

Amer Physical Soc2016

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

Hoài-Minh Nguyên

This paper concerns approximate cloaking by mapping for a full, but scalar wave equation, when one allows for physically relevant frequency dependence of the material properties of the cloak. The paper is a natural continuation of [20], but here we employ ...

Elsevier2016

Stride count and frequency measured with a wrist-worn inertial sensor

Kamiar Aminian, Benedikt Fasel, Cyntia Duc

This study proposes three simple approaches to estimate the stride count and frequency during walking and running using an inertial measurement system on the wrist. The approaches were based on a time-domain, frequency-domain and autocorrelation analysis, ...

2014

Sensitivity of stochastic perturbations in a noise amplifier flow

François Gallaire, Edouard Boujo

It is a well-known fact that small-amplitude perturbations can be amplified in globally stable flows due to non-normal mechanisms. This leads in the time domain to the transient growth of some initial disturbances, and in the frequency domain to the amplif ...

2014

Generalized impedance boundary conditions for strongly absorbing obstacle: The full wave equation

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On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

Approximate Cloaking via Transformation Optics for Electromagnetic Waves

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Saturation of the response to stochastic forcing in two-dimensional backward-facing step flow: A self-consistent approximation

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

Stride count and frequency measured with a wrist-worn inertial sensor

Sensitivity of stochastic perturbations in a noise amplifier flow

Optimization based methods for highly heterogeneous multiscale problems and multiscale methods for elastic waves

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

Multiplicity Of Solutions For Linear Partial Differential Equations Using (Generalized) Energy Operators

MATHICSE Technical Report : Effective models for long time wave propagation in locally periodic media

Sensitivity of stochastic perturbations in a noise amplifier flow

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

Saturation of the response to stochastic forcing in two-dimensional backward-facing step flow: A self-consistent approximation

Approximate Cloaking via Transformation Optics for Electromagnetic Waves

On large future-global-in-time solutions to energy-supercritical nonlinear wave equation

Stride count and frequency measured with a wrist-worn inertial sensor