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Related publications (22)

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Stable cones in the thin one-phase problem

Xavier Fernandez-Real Girona

The aim of this work is to study homogeneous stable solutions to the thin (or fractional) one -phase free boundary problem. The problem of classifying stable (or minimal) homogeneous solutions in dimensions n >= 3 is completely open. In this context, axial ...

Johns Hopkins Univ Press2024

Graphical solutions to one-phase free boundary problems

Xavier Fernandez-Real Girona

We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous function, the solution is the half-plane solution. This answers, in the salient di ...

Walter De Gruyter Gmbh2023

Atomic-Level and Surface Structure of Calcium Silicate Hydrate Nanofoils

Karen Scrivener, Paul Bowen, Ziga Casar, Aslam Kunhi Mohamed

Deciphering the calcium silicate hydrate (C-S-H) surface is crucial for unraveling the mechanisms of cement hydration and property development. Experimental observations of C-S-H in cement systems suggest a surface termination which is fundamentally differ ...

AMER CHEMICAL SOC2023

Short homology bases for hyperelliptic hyperbolic surfaces

Jürgpeter Buser

Given a hyperelliptic hyperbolic surface S of genus g >= 2, we find bounds on the lengths of homologically independent loops on S. As a consequence, we show that for any lambda is an element of (0, 1) there exists a constant N(lambda) such that every such ...

Hebrew Univ Magnes Press2023

Understanding the role of surface oxygen-containing functional groups on carbon-supported cobalt catalysts for the oxygen evolution reaction

Andreas Züttel, Kangning Zhao, Liping Zhong, Thi Ha My Pham, Youngdon Ko, Manhui Wei

Supported Co-based catalysts exhibit promising catalytic activities in the oxygen evolution reaction (OER) during alkaline water electrolysis. Surface functionalization of the support modulates the dispersion of the catalysts and their interaction with the ...

Royal Society of Chemistry2023

Ultralow secondary electron emission and improved vacuum surface insulation of polyimide with scalable nanocomposite coating

Chao Wang, Guang-Yu Sun

Polymers with high surface electric insulation capability are greatly demanded in various electrical devices operating in vacuum ambient. Low secondary electron emission (SEE) is favorable to mitigate vacuum flashover by inhibiting the SEE avalanche across ...

ELSEVIER2022

Energy distribution of harmonic 1-forms and Jacobians of Riemann surfaces with a short closed geodesic

Jürgpeter Buser

We study the energy distribution of harmonic 1-forms on a compact hyperbolic Riemann surface S where a short closed geodesic is pinched. If the geodesic separates the surface into two parts, then the Jacobian variety of S develops into a variety that split ...

2021

Tolerancing the surface form of aspheric microlenses manufactured by wafer-level optics techniques

Toralf Scharf, Wilfried Noell, Jeremy Béguelin

Tolerancing is an important step toward the fabrication of high-quality and cost-effective lens surfaces. It is critical for wafer-level optics, when up to tens of thousands microlenses are fabricated in parallel and whose surfaces cannot be formed individ ...

OPTICAL SOC AMER2020

Surface Structure and Chemistry of Alkanethiols on Au(100)-(1 x 1) Substrates

Klaus Kern

The surface structure of self-assembled monolayers of hexanethiolate (HT) on the Au(100)-(1 x 1) surface has been studied by density functional theory (DFT) calculations and their results compared to scanning tunneling microscopy (STM) and X-ray photoelect ...

Amer Chemical Soc2016

Surface origin and control of resonance Raman scattering and surface band gap in indium nitride

Esther Alarcon Llado

Resonance Raman scattering measurements were performed on indium nitride thin films under conditions where the surface electron concentration was controlled by an electrolyte gate. As the surface condition is tuned from electron depletion to accumulation, ...

Iop Publishing Ltd2016

Elastocapillary coalescence of plates and pillars

Tobias Schneider

When a fluid-immersed array of supported plates or pillars is dried, evaporation leads to the formation of menisci on the tips of the plates or pillars that bring them together to form complex patterns. Building on prior experimental observations, we use a ...

Royal Soc2015

Adsorbed and near surface structure of ionic liquids at a solid interface

Kislon Voitchovsky

The structure of solid-ionic liquid (IL) interfaces has been characterised with unprecedented clarity by employing a range of atomic force microscopy (AFM) imaging techniques and tip pressures appropriate for the system under study. Soft contact and amplit ...

Royal Society of Chemistry2013

Geometric Variational Models for Inverse Problems in Imaging

Virginia Estellers Casas

This dissertation develops geometric variational models for different inverse problems in imaging that are ill-posed, designing at the same time efficient numerical algorithms to compute their solutions. Variational methods solve inverse problems by the fo ...

EPFL2013

On stability of the catenoid under vanishing mean curvature flow on Minkowski space

Joachim Krieger

We establish basic local existence as well as a stability result concerning small perturbations of the Catenoid minimal surface in R-3 under hyperbolic vanishing mean curvature flow. ...

International Press2012

Monocular 3D Reconstruction of Locally Textured Surfaces

Pascal Fua, Mathieu Salzmann, Appu Shaji, Aydin Varol

Most recent approaches to monocular non-rigid 3D shape recovery rely on exploiting point correspondences and work best when the whole surface is well-textured. The alternative is to rely either on contours or shading information, which has only been demons ...

2012

Surface Microstructures on Planar Substrates and Textile Fibers Guide Neurite Outgrowth: A Scaffold Solution to Push Limits of Critical Nerve Defect Regeneration?

Thomas Lehnert

The treatment of critical size peripheral nerve defects represents one of the most serious problems in neurosurgery. If the gap size exceeds a certain limit, healing can't be achieved. Connection mismatching may further reduce the clinical success. The pre ...

Public Library Science2012

Study of Amyloid beta-Peptide (A beta 12-28-Cys) Interactions with Congo Red and beta-Sheet Breaker Peptides Using Electrochemical Impedance Spectroscopy

Hubert Girault

A surface-based approach is presented to study the interactions of A beta 12-28-Cys assembled on gold surfaces with Congo red (CR) and a beta-sheet breaker (BSB) peptide. The various aspects of the peptide film have been examined using different electroche ...

American Chemical Society2012

Harmonic Active Contours for multichannel image segmentation

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso, Virginia Estellers Casas

We propose a segmentation method based on the geometric representation of images as surfaces embedded in a higher dimensional space, handling naturally multichannel images. The segmentation is based on an active contour embedded in the image manifold, alon ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2011

Geodesic Active Fields - A Geometric Framework for Image Registration

Jean-Philippe Thiran, Xavier Bresson, Dominique Zosso

In this paper we present a novel geometric framework called geodesic active fields for general image registration. In image registration, one looks for the underlying deformation field that best maps one image onto another. This is a classic ill-posed inve ...

Amer Inst Physics, 2 Huntington Quadrangle, Ste 1No1 D, Melville, Ny 11747-4501 Usa2010

Cadmium adsorption to mixtures of soil components: Testing the component additivity approach

Daniel Scott Alessi

The ability to predict the distribution of metals in geologic systems requires a modeling approach that can describe the competition among adsorbing surfaces for the metal of interest. In this study, we test if a component additivity (CA) surface complexat ...

2010