Publications related to Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems

Sphere-of-Influence Graphs in Normed Spaces

We showthat any k-th closed sphere-of-influence graph in a d-dimensional normed space has a vertex of degree less than 5dk, thus obtaining a common generalization of results of Furedi and Loeb (Proc AmMath Soc 121(4): 1063-1073, 1994 [1]) and Guibas et al. ...

SPRINGER2018

Rayleigh-Taylor instability under a spherical substrate

François Gallaire, Gioele Mariano Nicolò Balestra, David Minh-Phuc Nguyen

We investigate the Rayleigh-Taylor instability of a thin viscous film coating the inside of a spherical substrate. The aim of this work is to find and characterize the instability pattern in this spherical geometry. In contrast to the Rayleigh-Taylor insta ...

2018

Dimensional stability analysis of a UV printed polymer microstructure for a novel glazing system

Yves Leterrier, Andreas Schueler, André Gabriel Kostro, Jing Gong, Frank Meyer

The dimensional stability of a UV printed polymer microstructure for a novel glazing system for seasonal regulation and daylighting based on a periodic array of parabolic micro-mirrors is investigated. The objectives of the work are: i) to analyze the dime ...

Elsevier2017

On the density of shear transformations in amorphous solids

Matthieu Wyart, Jie Lin

We study the stability of amorphous solids, focussing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution behaves as , where the exponent θ is larger than zero if the elastic interactio ...

EDP Sciences2014

Local discontinuous Galerkin methods for fractional diffusion equations

Jan Sickmann Hesthaven

We consider the development and analysis of local discontinuous Galerkin methods for fractional diffusion problems in one space dimension, characterized by having fractional derivatives, parameterized by beta in [1,2]. After demonstrating that a classic ap ...

EDP Sciences2013

Nondispersive solutions to the $L^2$-critical half-wave equation

Joachim Krieger

We consider the focusing

L^2

-critical half-wave equation in one space dimension

i \partial_t u = D u - |u|^2 u,

where

D

denotes the first-order fractional derivative. Standard arguments show that there is a critical threshold

M_* > 0

such that all ...

Springer Verlag2013

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Maria Colombo

We prove that solutions of a mildly regularized Perona–Malik equation converge, in a slow time scale, to solutions of the total variation flow. The convergence result is global-in-time, and holds true in any space dimension. The proof is based on the gener ...

2012

Learning Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Aude Billard, Seyed Mohammad Khansari Zadeh

This paper presents a method for learning discrete robot motions from a set of demonstrations. We model a motion as a nonlinear autonomous (i.e. time-invariant) Dynamical System (DS), and define sufficient conditions to ensure global asymptotic stability a ...

2011

Isogeometric analysis in electromagnetics: B-splines approximation

Annalisa Buffa, Rafael Vazquez Hernandez

We introduce a new discretization scheme for Maxwell equations in two space dimension. Inspired by the new paradigm of Isogeometric analysis introduced in Hughes et al. (2005) [16], we propose an algorithm based on the use of bivariate B-splines spaces sui ...

2010

Regularized Interpolation for Noisy Images

Michaël Unser, Philippe Thévenaz, Sathish Ramani

Interpolation is the means by which a continuously defined model is fit to discrete data samples. When the data samples are exempt of noise, it seems desirable to build the model by fitting them exactly. In medical imaging, where quality is of paramount im ...

IEEE2010

Dissipative Boundary Conditions for Nonlinear 1-D Hyperbolic Systems: Sharp Conditions Through an Approach via Time-Delay Systems

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Sphere-of-Influence Graphs in Normed Spaces

Rayleigh-Taylor instability under a spherical substrate

Dimensional stability analysis of a UV printed polymer microstructure for a novel glazing system

On the density of shear transformations in amorphous solids

Local discontinuous Galerkin methods for fractional diffusion equations

Nondispersive solutions to the $L^2$-critical half-wave equation

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Learning Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Isogeometric analysis in electromagnetics: B-splines approximation

Regularized Interpolation for Noisy Images

Sphere-of-Influence Graphs in Normed Spaces

Nondispersive solutions to the $L^2$-critical half-wave equation

Passing to the limit in maximal slope curves: from a regularized Perona–Malik equation to the total variation flow

Learning Stable Non-Linear Dynamical Systems with Gaussian Mixture Models

Rayleigh-Taylor instability under a spherical substrate

Dimensional stability analysis of a UV printed polymer microstructure for a novel glazing system

On the density of shear transformations in amorphous solids

Local discontinuous Galerkin methods for fractional diffusion equations

Isogeometric analysis in electromagnetics: B-splines approximation

Regularized Interpolation for Noisy Images