Publications related to Free Boundary Regularity for Almost Every Solution to the Signorini Problem

Local discontinuous Galerkin methods for fractional diffusion equations

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

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

François Gallaire, Mathias Nagel

Shedding of droplets in a flow focusing junction is standard technique in two-phase microfluidics. This break-up is driven by a capillary instability. Here we present a depth-averaged approach to simulate these complex phenomena. Since the physical mechani ...

2013

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Marcel Drabbels, Evgeniy Loginov, Alberto Hernando de Castro

The dynamics following the photoexcitation of Ag atoms in 4He nanodroplets via the 5p 2P1=2 ← 5s2S1=2 and 5p 2P3=2 ← 5s2S1=2 transitions has been investigated in a joint experimental and theoretical effort. It has been experimentally found that upon excita ...

Royal Soc Chemistry2013

Three-dimensional, automated magnetic biomanipulation with subcellular resolution

Mahmut Selman Sakar

In our previous work we introduced the inverted MiniMag, a magnetic manipulation system capable of 5 degree-of-freedom (5-DOF) wireless control of micro- and nano structures. In this work, we implement a depth tracking algorithm to provide feedback on the ...

2013

Transient perturbation growth in time-dependent mixing layers

Cristobal Manuel Arratia Martinez

We investigate numerically the transient linear growth of three-dimensional (3D) perturbations in a homogeneous time-evolving mixing layer in order to identify which perturbations are optimal in terms of their kinetic energy gain over a finite, predetermin ...

Cambridge University Press2013

Lifting simplicial complexes to the boundary of convex polytopes

Lionel Pournin

Abstract: A simplicial complex C on a d-dimensional configuration of n points is k-regular if its faces are projected from the boundary complex of a polytope with dimension at most d+k. Since C is obviously (n-d-1)-regular, the set of all integers k for wh ...

Elsevier2012

How books will become machines

Frédéric Kaplan

This article is an attempt to reframe the evolution of books into a larger evolutionary theory. A central concept of this theory is the notion of regulated representation. A regulated representation is governed by a set of production and usage rules.ur cor ...

PPUR2012

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

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Fabio Nobile, Annalisa Buffa, Francesca Bonizzoni

We study the mixed formulation of the stochastic Hodge-Laplace problem defined on a n-dimensional domain D (

n \geq 1

), with random forcing term. In particular, we focus on the magnetostatic problem and on the Darcy problem in the three dimensional case. ...

MATHICSE2012

Weakly regular subdivisions

Lionel Pournin

It is shown that 2-dimensional subdivisions can be made regular by moving their vertices within parallel 1-dimensional spaces. As a consequence, any 2-dimensional subdivision is projected from the boundary complex of a 4-polytope. ...

Springer-Verlag2012

Free Boundary Regularity for Almost Every Solution to the Signorini Problem

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Local discontinuous Galerkin methods for fractional diffusion equations

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Three-dimensional, automated magnetic biomanipulation with subcellular resolution

Transient perturbation growth in time-dependent mixing layers

Lifting simplicial complexes to the boundary of convex polytopes

How books will become machines

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

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Weakly regular subdivisions

How books will become machines

Investigation of droplet shedding in flow focusing geometries using the boundary element method.

Transient perturbation growth in time-dependent mixing layers

Lifting simplicial complexes to the boundary of convex polytopes

Local discontinuous Galerkin methods for fractional diffusion equations

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

Translational dynamics of photoexcited atoms in 4He nanodroplets: the case of silver

Three-dimensional, automated magnetic biomanipulation with subcellular resolution

MATHICSE Technical Report : Moment equations for the mixed formulation of the Hodge Laplacian with stochastic data

Weakly regular subdivisions