Publications associées à Analytical approximations for the collapse of an empty spherical bubble

Roughness Evolution Induced by Third-Body Wear

Jean-François Molinari, Tobias Brink, Antonio Joaquin Garcia Suarez

Surface roughness is a key factor when it comes to friction and wear, as well as to other physical properties. These phenomena are controlled by mechanisms acting at small scales, in which the topography of apparently flat surfaces is revealed. Roughness i ...

2024

Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise

Martin Hairer

We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equations partial derivative( t)u + u center dot del u = Delta u - del p + sigma + xi, u(0, center dot ) = u(0),div (u) = 0, driven by additive space-time white noi ...

Springernature2024

Localization errors of the stochastic heat equation

David Jean-Michel Candil

In this thesis, we study the stochastic heat equation (SHE) on bounded domains and on the whole Euclidean space

\R^d.

We confirm the intuition that as the bounded domain increases to the whole space, both solutions become arbitrarily close to one another ...

EPFL2022

Support and approximation properties of Hermite splines

Michaël Unser, Virginie Sophie Uhlmann, Julien René Pierre Fageot, Shayan Aziznejad

In this paper, we formally investigate two mathematical aspects of Hermite splines that are relevant to practical applications. We first demonstrate that Hermite splines are maximally localized, in the sense that the size of their support is minimal among ...

2020

Zippy LL(1) Parsing with Derivatives

Viktor Kuncak, Romain Edelmann, Jad Hamza

In this paper, we present an efficient, functional, and formally verified parsing algorithm for LL(1) context-free expressions based on the concept of derivatives of formal languages. Parsing with derivatives is an elegant parsing technique, which, in the ...

ASSOC COMPUTING MACHINERY2020

Scattering of transverse surface waves by a piezoelectric fiber in a piezoelectric half-space with exponentially varying electromechanical properties

Alireza Ghafarollahi

In the present work, an analytical solution is presented for the scattering of transverse surface waves by a homogeneous piezoelectric fiber contained in a functionally graded piezoelectric half-space with exponential variation. The boundary value problem ...

2019

Theoretical study of an electrostatically actuated torsional microsensor for biological applications

We develop an analytical formulation to calculate the induced resonance frequency shifts of an electrostatically actuated torsional microsensor due to an added bio-mass (E. coli). Based on a lumped-parameter model, we investigate the static and the linear ...

SPRINGER2018

Locality of the anomalous Hall conductivity

Antimo Marrazzo

The geometrical intrinsic contribution to the anomalous Hall conductivity (AHC) of a metal is commonly expressed as a reciprocal-space integral: as such, it only addresses unbounded and macroscopically homogeneous samples. Here we show that the geometrical ...

Amer Physical Soc2017

Location choice with longitudinal WiFi data

Michel Bierlaire, Antonin Danalet, Loïc Tinguely, Matthieu Marie Cochon de Lapparent

Location-aware data collection technologies provide new insights about location choices. Only a few dynamic models of location choice exist in scientific literature. To our knowledge, none of them correct for serial correlation. In this paper, we model cho ...

University of Leeds2016

A closed-form expression for the total degradation in OFDM systems

Stefano Rosati

In this paper, building upon Bussgang's theorem, we present a new expression for the total degradation (TD) in OFDM systems. This novel expression is applicable to any high power amplifier (HPA) model. In case of ideal clipping HPA model and for particular ...

Wiley-Blackwell2015

Diffusion Process Modeling by Using Fractional-Order Models

Tomas Skovranek

This paper deals with a concept and description of a RC network as an electro-analog model of diffusion process which enables to simulate heat dissipation under different initial and boundary conditions. It is based on well-known analogy between heat and e ...

Elsevier2015

Analytic Sensing For Multi-Layer Spherical Models With Application To EEG Source Imaging

Thierry Blu, Dimitri Nestor Alice Van De Ville, Djano Kandaswamy

Source imaging maps back boundary measurements to underlying generators within the domain; e. g., retrieving the parameters of the generating dipoles from electrical potential measurements on the scalp such as in electroencephalography (EEG). Fitting such ...

Amer Inst Mathematical Sciences2013

Thermal diffusivity of seasonal snow determined from temperature profiles

Marc Parlange, Wolf Hendrik Huwald, Chad Higgins, Holly Jayne Oldroyd

Thermal diffusivity of snow is an important thermodynamic property associated with key hydrological phenomena such as snow melt and heat and water vapor exchange with the atmosphere. Direct determination of snow thermal diffusivity requires coupled point m ...

Elsevier2013

Nonlinear quasisteady state benchmark of global gyrokinetic codes

Stephan Brunner, Laurent Villard, Xavier Lapillonne, Ben McMillan

Two global gyrokinetic codes are benchmarked against each other by comparing simulation results in the case of ion temperature gradient driven turbulence, in the adiabatic electron response limit The two codes are the Eulerian code GENE and the Lagrangian ...

American Institute of Physics2010

On the mutual information and low-SNR capacity of memoryless noncoherent Rayleigh-fading channels

Ninoslav Marina

The memoryless noncoherent single-input-single-output (SISO) Rayleigh-fading channel is considered. Closed-form expressions are derived for the mutual information between the output and the input of this channel when the input magnitude distribution is dis ...

2008