1 citations · 1 across the 4 of their papers we have counts for
5 papers
Mathematical and numerical study of a model for navigation in stratified waters
Zeina Rammal, Matthieu Brachet, Germain Rousseaux +1
We derive a linear model of navigation in a two-layer fluid with a variable velocity of the ship. A spectral version of the model including a Rayleigh damping term is analyzed. We…
A robust family of exponential attractors for a linear time discretization of the Cahn-Hilliard equation with a source term
Dieunel Dor, Morgan Pierre
We consider a linear implicit-explicit (IMEX) time discretization of the Cahn-Hilliard equation with a source term, endowed with Dirichlet boundary conditions. For every time step…
Maximum time step for the BDF3 scheme applied to gradient flows
Morgan Pierre
For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the ma…
The naval battle of Actium and the myth of the ship-holder: the effect of bathymetry
Johan Fourdrinoy, Clément Caplier, Yann Devaux +8
A myth of antiquity is explained with modern science in the context of an ancient naval battle. A legend was invoked by the admiral Pliny the Elder to explain the defeat of Antony…
A theoretical and numerical determination of optimal ship forms based on Michell's wave resistance
Julien Dambrine, Morgan Pierre, Germain Rousseaux
We determine the parametric hull of a given volume which minimizes the total water resistance for a given speed of the ship. The total resistance is the sum of Michell's wave resis…