We consider Coulomb gas models for which the empirical measure typically concentrates, when the number of particles becomes large, on an equilibrium measure minimizing an electrostatic energy. We study the behavior when the gas is conditioned on a rare event. We first show that the special case of quadratic confinement and linear constraint is exac...
This data set contains the MATLAB code necessary to reproduce the computational results published in 'Auxin transport model for leaf venation' https://arxiv.org/abs/1901.03244. In these numerical results, we show the ability of our model to connect an auxin source-sink pair with a mid-vein and that it can also produce branching vein patterns. Instr...
Accepted Author manuscript
Mitral regurgitation is one of the most prevalent valvular heart disease. Proper evaluation of its severity is necessary to choose appropriate treatment. The PISA method, based on Color Doppler echocardiography, is widely used in the clinical setting to estimate various relevant quantities related to the severity of the disease. In this paper, the ...
Mitral regurgitation is one of the most prevalent valvular heart disease. Proper evaluation of its severity is necessary to choose appropriate treatment. The PISA method, based on Color Doppler echocardiography, is widely used in the clinical setting to estimate various relevant quantities related to the severity of the disease. In this paper, the ...
The present thesis deals with the modeling and numerical simulation of complex geophysical flows. Two processes are studied: sediment transport, and variable density flows. For both flows, the approach is the same. In each case, a reduced vertically-averaged model is derived from the 3D Navier-Stokes equations by making a specific asymptotic analysis. ...
The present thesis deals with the modeling and numerical simulation of complex geophysical flows. Two processes are studied: sediment transport, and variable density flows. For both flows, the approach is the same. In each case, a reduced vertically-averaged model is derived from the 3D Navier-Stokes equations by making a specific asymptotic analysis. ...
The present thesis deals with the modeling and numerical simulation of complex geophysical flows. Two processes are studied: sediment transport, and variable density flows. For both flows, the approach is the same. In each case, a reduced vertically-averaged model is derived from the 3D Navier-Stokes equations by making a specific asymptotic analysis. ...
An anisotropic lattice Boltzman - phase field scheme is proposed to study dendritic growth in the presence of melt convection. In this work, the lattice Boltzmann method is extended to model dendritic growth with heat transfer and melt convection. It implements an anisotropic streaming-relaxation step based on the lattice Bhatnagar-Gross-Krook sche...
An anisotropic lattice Boltzman - phase field scheme is proposed to study dendritic growth in the presence of melt convection. In this work, the lattice Boltzmann method is extended to model dendritic growth with heat transfer and melt convection. It implements an anisotropic streaming-relaxation step based on the lattice Bhatnagar-Gross-Krook sche...
