Publications related to A vector field method on the distorted Fourier side and decay for wave equations with potentials

Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

Pierre Vandergheynst, Benjamin Ricaud, Nicolas Tremblay

The legacy of Joseph Fourier in science is vast, especially thanks to the essential tool that the Fourier transform is. The flexibility of this analysis, its computational efficiency and the physical interpretation it offers makes it a cornerstone in many ...

ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER2019

A Fourier-accelerated volume integral method for elastoplastic contact

Jean-François Molinari, Guillaume Anciaux, Lucas Henri Galilée Frérot

The contact of solids with rough surfaces plays a fundamental role in physical phenomena such as friction, wear, sealing, and thermal transfer. However, its simulation is a challenging problem due to surface asperities covering a wide range of length-scale ...

2019

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

Thomas Frédéric Hilke

Metallic aluminium plays a key role in our modern economy. Primary metallic aluminium is produced by the transformation of aluminium oxide using the Hall-Héroult industrial process. This process, which requires enormous quantities of energy, consists in pe ...

EPFL2019

Combining Fourier Analysis And Machine Learning To Estimate The Shallow-Ground Thermal Diffusivity In Switzerland

Jean-Louis Scartezzini, Dan Assouline, Nahid Mohajeri Pour Rayeni

We propose a methodology combining physical modelling and machine learning (ML) to estimate the apparent ground thermal diffusivity at the scale of a country. Based on ground temperature time series at different depths, we estimate the diffusivity at 49 Sw ...

IEEE2018

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

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Marius Christopher Lemm, Rui Han

We study the one-dimensional discrete Schrödinger operator with the skew-shift potential

2\lambda\cos\left(2\pi \left(\binom{j}{2} \omega+jy+x\right)\right)

. This potential is long conjectured to behave like a random one, i.e., it is expected to produce ...

2018

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

Lyesse Laloui, Jian Zhao, Yang Zou

The effects of viscoelastic filled rock joints on wave propagation are of great significance in rock engineering. The solutions in time domain for plane longitudinal ( P-) and transverse ( S-) waves propagation across a viscoelastic rock joint are derived ...

Springer Verlag2017

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

Undecidability through Fourier series

In computability theory a variety of combinatorial systems are encountered (word problems, production systems) that exhibit undecidability properties. Here we seek such structures in the realm of Analysis, more specifically in the area of Fourier Analysis. ...

Elsevier Science Bv2016

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

A vector field method on the distorted Fourier side and decay for wave equations with potentials

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Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

A Fourier-accelerated volume integral method for elastoplastic contact

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

Combining Fourier Analysis And Machine Learning To Estimate The Shallow-Ground Thermal Diffusivity In Switzerland

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

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint

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

Undecidability through Fourier series

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

A Fourier-accelerated volume integral method for elastoplastic contact

Fourier could be a data scientist: From graph Fourier transform to signal processing on graphs

Méthodes numériques liées à la distribution d'alumine dans une cuve d'électrolyse d'aluminium

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

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

Undecidability through Fourier series

Combining Fourier Analysis And Machine Learning To Estimate The Shallow-Ground Thermal Diffusivity In Switzerland

Weyl sums and the Lyapunov exponent for the skew-shift Schrödinger cocycle

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

Analytical Time-Domain Solution of Plane Wave Propagation Across a Viscoelastic Rock Joint