Publications related to Purpose-Built Anisotropic Metal Oxide Material: 3D Highly Oriented Microrod Array of ZnO

Structural, optical and crystal field analyses of undoped and Mn2+-doped ZnS nanoparticles synthesized via reverse micelle route

Zinc sulfide, both as a bulk material and in nanocrystalline form, is a valuable luminescent material with important applications. Doped ZnS nanoparticles of around 5 nm are the material of choice for optoelectronic applications running in the UV region ow ...

Elsevier Science Bv2014

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

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Alfio Quarteroni, Christian Vergara, Luca Formaggia

In this work we discuss the reliability of the coupling among three-dimensional (3D) and one-dimensional (1D) models that describe blood flowing into the circulatory tree. In particular, we study the physical consistency of the 1D model with respect to the ...

Academic Press Inc Elsevier Science2013

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

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Alfio Quarteroni, Simone Deparis, Adelmo Cristiano Innocenza Malossi, Paolo Crosetto

Simulating arterial trees in the cardiovascular system can be made by the help of different models, depending on the outputs of interest and the desired degree of accuracy. In particular, one-dimensional fluid-structure interaction models for arteries are ...

Society for Industrial and Applied Mathematics2013

Three-Dimensional Writing of Highly Stretchable Organic Nanowires

Giorgio Margaritondo

Three-dimensional (3D) writing is a promising approach to realize stretchable electronics, but is so far limited to microscale features. We developed accurate 3D writing for highly stretchable organic nanowire arrays using a nanoscale polymer meniscus. Spe ...

2012

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

Gaussian upper density estimates for spatially homogeneous SPDEs

We consider a general class of SPDEs in mathbb{R}^d driven by a Gaussian spatially homogeneous noise which is white in time. We provide sufficient conditions on the coefficients and the spectral measure associated to the noise ensuring that the density of ...

2012

An adaptive finite-volume method for a model of two-phase pedestrian flow

Ricardo Esteban Ruiz Baier

A flow composed of two populations of pedestrians moving in different directions is modeled by a two-dimensional system of convection-diffusion equations. An efficient simulation of the two-dimensional model is obtained by a finite-volume scheme combined w ...

American Institute of Mathematical Sciences2011

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

Purpose-Built Anisotropic Metal Oxide Material: 3D Highly Oriented Microrod Array of ZnO

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Structural, optical and crystal field analyses of undoped and Mn2+-doped ZnS nanoparticles synthesized via reverse micelle route

Local discontinuous Galerkin methods for fractional diffusion equations

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

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

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Three-Dimensional Writing of Highly Stretchable Organic Nanowires

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

Gaussian upper density estimates for spatially homogeneous SPDEs

An adaptive finite-volume method for a model of two-phase pedestrian flow

Isogeometric analysis in electromagnetics: B-splines approximation

Structural, optical and crystal field analyses of undoped and Mn2+-doped ZnS nanoparticles synthesized via reverse micelle route

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

Gaussian upper density estimates for spatially homogeneous SPDEs

Local discontinuous Galerkin methods for fractional diffusion equations

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

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

Three-Dimensional Writing of Highly Stretchable Organic Nanowires

An adaptive finite-volume method for a model of two-phase pedestrian flow

On the physical consistency between three-dimensional and one-dimensional models in haemodynamics

Isogeometric analysis in electromagnetics: B-splines approximation