3,286 research outputs found
Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non BV perturbations
We develop a theory based on relative entropy to show the uniqueness and L^2
stability (up to a translation) of extremal entropic Rankine-Hugoniot
discontinuities for systems of conservation laws (typically 1-shocks, n-shocks,
1-contact discontinuities and n-contact discontinuities of large amplitude)
among bounded entropic weak solutions having an additional trace property. The
existence of a convex entropy is needed. No BV estimate is needed on the weak
solutions considered. The theory holds without smallness condition. The
assumptions are quite general. For instance, strict hyperbolicity is not needed
globally. For fluid mechanics, the theory handles solutions with vacuum.Comment: 29 page
Depinning transition in type-II superconductors
The surface impedance Z(f) of conventional isotropic materials has been
carefully measured for frequencies f ranging from 1 kHz to 3 MHz, allowing a
detailed investigation of the depinning transition. Our results exhibit the
irrelevance of classical ideas to the dynamics of vortex pinning. We propose a
new picture, where the linear ac response is entirely governed by disordered
boundary conditions of a rough surface, whereas in the bulk vortices respond
freely. The universal law for Z(f) thus predicted is in remarkable agreement
with experiment, and tentatively applies to microwave data in YBaCuO films.Comment: 4 pages, 4 figures, 14 reference
The one-dimensional Keller-Segel model with fractional diffusion of cells
We investigate the one-dimensional Keller-Segel model where the diffusion is
replaced by a non-local operator, namely the fractional diffusion with exponent
. We prove some features related to the classical
two-dimensional Keller-Segel system: blow-up may or may not occur depending on
the initial data. More precisely a singularity appears in finite time when
and the initial configuration of cells is sufficiently concentrated.
On the opposite, global existence holds true for if the initial
density is small enough in the sense of the norm.Comment: 12 page
New first trimester crown-rump length's equations optimized by structured data collection from a French general population
--- Objectives --- Prior to foetal karyotyping, the likelihood of Down's
syndrome is often determined combining maternal age, serum free beta-HCG,
PAPP-A levels and embryonic measurements of crown-rump length and nuchal
translucency for gestational ages between 11 and 13 weeks. It appeared
important to get a precise knowledge of these scan parameters' normal values
during the first trimester. This paper focused on crown-rump length. ---
METHODS --- 402 pregnancies from in-vitro fertilization allowing a precise
estimation of foetal ages (FA) were used to determine the best model that
describes crown-rump length (CRL) as a function of FA. Scan measures by a
single operator from 3846 spontaneous pregnancies representative of the general
population from Northern France were used to build a mathematical model linking
FA and CRL in a context as close as possible to normal scan screening used in
Down's syndrome likelihood determination. We modeled both CRL as a function of
FA and FA as a function of CRL. For this, we used a clear methodology and
performed regressions with heteroskedastic corrections and robust regressions.
The results were compared by cross-validation to retain the equations with the
best predictive power. We also studied the errors between observed and
predicted values. --- Results --- Data from 513 spontaneous pregnancies allowed
to model CRL as a function of age of foetal age. The best model was a
polynomial of degree 2. Datation with our equation that models spontaneous
pregnancies from a general population was in quite agreement with objective
datations obtained from 402 IVF pregnancies and thus support the validity of
our model. The most precise measure of CRL was when the SD was minimal
(1.83mm), for a CRL of 23.6 mm where our model predicted a 49.4 days of foetal
age. Our study allowed to model the SD from 30 to 90 days of foetal age and
offers the opportunity of using Zscores in the future to detect growth
abnormalities. --- Conclusion --- With powerful statistical tools we report a
good modeling of the first trimester embryonic growth in the general population
allowing a better knowledge of the date of fertilization useful in the
ultrasound screening of Down's syndrome. The optimal period to measure CRL and
predict foetal age was 49.4 days (9 weeks of gestational age). Our results open
the way to the detection of foetal growth abnormalities using CRL Zscores
throughout the first trimester
Asymptotic models for the generation of internal waves by a moving ship, and the dead-water phenomenon
This paper deals with the dead-water phenomenon, which occurs when a ship
sails in a stratified fluid, and experiences an important drag due to waves
below the surface. More generally, we study the generation of internal waves by
a disturbance moving at constant speed on top of two layers of fluids of
different densities. Starting from the full Euler equations, we present several
nonlinear asymptotic models, in the long wave regime. These models are
rigorously justified by consistency or convergence results. A careful
theoretical and numerical analysis is then provided, in order to predict the
behavior of the flow and in which situations the dead-water effect appears.Comment: To appear in Nonlinearit
The role of tank-treading motions in the transverse migration of a spheroidal vesicle in a shear flow
The behavior of a spheroidal vesicle, in a plane shear flow bounded from one
side by a wall, is analysed when the distance from the wall is much larger than
the spheroid radius. It is found that tank treading motions produce a
transverse drift away from the wall, proportional to the spheroid eccentricity
and the inverse square of the distance from the wall. This drift is independent
of inertia, and is completely determined by the characteristics of the vesicle
membrane. The relative strength of the contribution to drift from tank-treading
motions and from the presence of inertial corrections, is discussed.Comment: 16 pages, 1 figure, Latex. To appear on J. Phys. A (Math. Gen.
The LAGUNA design study- towards giant liquid based underground detectors for neutrino physics and astrophysics and proton decay searches
The feasibility of a next generation neutrino observatory in Europe is being
considered within the LAGUNA design study. To accommodate giant neutrino
detectors and shield them from cosmic rays, a new very large underground
infrastructure is required. Seven potential candidate sites in different parts
of Europe and at several distances from CERN are being studied: Boulby (UK),
Canfranc (Spain), Fr\'ejus (France/Italy), Pyh\"asalmi (Finland),
Polkowice-Sieroszowice (Poland), Slanic (Romania) and Umbria (Italy). The
design study aims at the comprehensive and coordinated technical assessment of
each site, at a coherent cost estimation, and at a prioritization of the sites
within the summer 2010.Comment: 5 pages, contribution to the Workshop "European Strategy for Future
Neutrino Physics", CERN, Oct. 200
Measurement of and charged current inclusive cross sections and their ratio with the T2K off-axis near detector
We report a measurement of cross section and the first measurements of the cross section
and their ratio
at (anti-)neutrino energies below 1.5
GeV. We determine the single momentum bin cross section measurements, averaged
over the T2K -flux, for the detector target material (mainly
Carbon, Oxygen, Hydrogen and Copper) with phase space restricted laboratory
frame kinematics of 500 MeV/c. The
results are and $\sigma(\nu)=\left( 2.41\
\pm0.022{\rm{(stat.)}}\pm0.231{\rm (syst.)}\ \right)\times10^{-39}^{2}R\left(\frac{\sigma(\bar{\nu})}{\sigma(\nu)}\right)=
0.373\pm0.012{\rm (stat.)}\pm0.015{\rm (syst.)}$.Comment: 18 pages, 8 figure
A Long Baseline Neutrino Oscillation Experiment Using J-PARC Neutrino Beam and Hyper-Kamiokande
Document submitted to 18th J-PARC PAC meeting in May 2014. 50 pages, 41 figuresDocument submitted to 18th J-PARC PAC meeting in May 2014. 50 pages, 41 figuresDocument submitted to 18th J-PARC PAC meeting in May 2014. 50 pages, 41 figuresHyper-Kamiokande will be a next generation underground water Cherenkov detector with a total (fiducial) mass of 0.99 (0.56) million metric tons, approximately 20 (25) times larger than that of Super-Kamiokande. One of the main goals of Hyper-Kamiokande is the study of asymmetry in the lepton sector using accelerator neutrino and anti-neutrino beams. In this document, the physics potential of a long baseline neutrino experiment using the Hyper-Kamiokande detector and a neutrino beam from the J-PARC proton synchrotron is presented. The analysis has been updated from the previous Letter of Intent [K. Abe et al., arXiv:1109.3262 [hep-ex]], based on the experience gained from the ongoing T2K experiment. With a total exposure of 7.5 MW 10 sec integrated proton beam power (corresponding to protons on target with a 30 GeV proton beam) to a -degree off-axis neutrino beam produced by the J-PARC proton synchrotron, it is expected that the phase can be determined to better than 19 degrees for all possible values of , and violation can be established with a statistical significance of more than () for () of the parameter space
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