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Mild criticality breaking for the Navier-Stokes equations
In this short paper we prove the global regularity of solutions to the Navier–Stokes equations under the assumption that slightly supercritical quantities are bounded. As a consequence, we prove that if a solution u to the...
Stokes drift through corals
We investigate the all-penetrating drift velocities, due to surface wave
motion in an effectively inviscid fluid that overlies a saturated porous bed of
finite depth. Previous work in this area either neglects the large-scale...
Coherent anti-Stokes Raman spectroscopy of single and multi-layer graphene
A. Virga, C. Ferrante, G. Batignani, D. De Fazio, A. D. G. Nunn, A. C. Ferrari, G. Cerullo, T. Scopigno
Aug 13, 2020
Abstract: Spontaneous Raman spectroscopy is a powerful characterization tool for graphene research. Its extension to the coherent regime, despite the large nonlinear third-order susceptibility of graphene, has so far proven...
Coherent anti-Stokes Raman spectroscopy of single and multi-layer graphene.
A Virga, C Ferrante, G Batignani, D De Fazio, ADG Nunn, AC Ferrari, G Cerullo, T Scopigno
Jun 17, 2019
Spontaneous Raman spectroscopy is a powerful characterization tool for graphene research. Its extension to the coherent regime, despite the large nonlinear third-order susceptibility of graphene, has so far proven challenging....
Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations
Abstract: Using the convex integration technique for the three-dimensional Navier–Stokes equations introduced by Buckmaster and Vicol, it is shown the existence of non-unique weak solutions for the 3D Navier–Stokes equations...
Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations
Abstract: Using the convex integration technique for the three-dimensional Navier–Stokes equations introduced by Buckmaster and Vicol, it is shown the existence of non-unique weak solutions for the 3D Navier–Stokes equations...
Non-uniqueness of weak solutions to hyperviscous Navier–Stokes equations
Abstract: Using the convex integration technique for the three-dimensional Navier–Stokes equations introduced by Buckmaster and Vicol, it is shown the existence of non-unique weak solutions for the 3D Navier–Stokes equations...
Mild criticality breaking for the Navier-Stokes equations
In this short paper we prove the global regularity of solutions to the Navier–Stokes equations under the assumption that slightly supercritical quantities are bounded. As a consequence, we prove that if a solution u to the...
Energy consistent DG methods for the Navier-Stokes-Korteweg system
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler-Korteweg and the Navier-Stokes-Korteweg systems. We show that the scheme for the Euler-Korteweg system is energy and mass...
Energy consistent DG methods for the Navier-Stokes-Korteweg system
We design consistent discontinuous Galerkin finite element schemes for the approximation of the Euler-Korteweg and the Navier-Stokes-Korteweg systems. We show that the scheme for the Euler-Korteweg system is energy and mass...
Shallow free-surface Stokes flow around a corner.
The steady lateral spreading of a free-surface viscous flow down an inclined plane around a vertex from which the channel width increases linearly with downstream distance is investigated analytically, numerically and...
From Concentration to Quantitative Regularity
In this short survey paper, we focus on some new developments in the study of the regularity or potential singularity formation for solutions of the 3D Navier–Stokes equations. Some of the motivating questions are the...
Blow-up of dynamically restricted critical norms near a potential Navier–Stokes singularity
In this paper we develop new methods to obtain regularity criteria for the three-dimensional Navier–Stokes equations in terms of dynamically restricted endpoint critical norms: the critical Lebesgue norm in general or the...
Training load and injury risk in elite Rugby Union
Stephen West, Sean Williams, Dario Cazzola, Matthew J. Cross, Simon Kemp, Keith A. Stokes
Jun 01, 2021
Training load monitoring has grown in recent years with the acute:chronic workload ratio (ACWR) widely used to aggregate data to inform decision-making on injury risk. Several methods have been described to calculate the ACWR...
From Concentration to Quantitative Regularity
In this short survey paper, we focus on some new developments in the study of the regularity or potential singularity formation for solutions of the 3D Navier–Stokes equations. Some of the motivating questions are the...
Blow-up of dynamically restricted critical norms near a potential Navier–Stokes singularity
In this paper we develop new methods to obtain regularity criteria for the three-dimensional Navier–Stokes equations in terms of dynamically restricted endpoint critical norms: the critical Lebesgue norm in general or the...
Training load and injury risk in elite Rugby Union
Stephen West, Sean Williams, Dario Cazzola, Matthew J. Cross, Simon Kemp, Keith A. Stokes
Jun 01, 2021
Training load monitoring has grown in recent years with the acute:chronic workload ratio (ACWR) widely used to aggregate data to inform decision-making on injury risk. Several methods have been described to calculate the ACWR...
Stokes settling and particle-laden plumes
Turbulent buoyant plumes moving through density stratified environments transport large volumes of fluid vertically. Eventually, the fluid reaches its neutral buoyancy level at which it intrudes into the environment. For...
Fiber four-wave mixing source for coherent anti-Stokes Raman scattering microscopy
Simon Lefrancois, Dan Fu, Gary R. Holtom, Lingjie Kong, William J. Wadsworth, Patrick Schneider, Robert Herda, Armin Zach, X. Sunney Xie, Frank W. Wise
May 15, 2012
We present a fiber-format picosecond light source for coherent anti-Stokes Raman scattering microscopy. Pulses from a Yb-doped fiber amplifier are frequency converted by four-wave mixing (FWM) in normal-dispersion photonic...
Evaluating the implementation of injury prevention strategies in rugby union and league
Rugby (union and league) has come under intense scrutiny due to its injury risk. Various interventions have been introduced to protect players from injury, with many deemed efficacious and advocated for use across various...
Fiber four-wave mixing source for coherent anti-Stokes Raman scattering microscopy
Simon Lefrancois, Dan Fu, Gary R. Holtom, Lingjie Kong, William J. Wadsworth, Patrick Schneider, Robert Herda, Armin Zach, X. Sunney Xie, Frank W. Wise
May 15, 2012
We present a fiber-format picosecond light source for coherent anti-Stokes Raman scattering microscopy. Pulses from a Yb-doped fiber amplifier are frequency converted by four-wave mixing (FWM) in normal-dispersion photonic...
Localized smoothing and concentration for the Navier-Stokes equations in the half space
We establish a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space. The whole space analogue, due to Jia and Šverák [21], is a central tool in two of the authors' recent work on...
Employing standardised methods to compare injury risk across seven youth team sports
Injury surveillance systems seek to describe injury risk for a given sport, in order to inform preventative strategies. This often leads to comparisons between studies, although these inferences may be inappropriate, considering...
A modified prebind engagement process reduces biomechanical loading on front row players during scrummaging
Aims: Biomechanical studies of the rugby union scrum have typically been conducted using instrumented scrum machines, but a large-scale biomechanical analysis of live contested scrummaging is lacking. We investigated whether the...
Localized smoothing and concentration for the Navier-Stokes equations in the half space
We establish a local-in-space short-time smoothing effect for the Navier-Stokes equations in the half space. The whole space analogue, due to Jia and Šverák [21], is a central tool in two of the authors' recent work on...
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