6 citations · 11 across the 6 of their papers we have counts for
7 papers
A continuous data assimilation method for a variant of Oberbeck-Boussinesq system with randomly perturbed data
Eduard Feireisl, Madalina Petcu
We show convergence of a continuous data assimilation method for the Oberbeck-Boussinesq system in the dimension . Our working hypothesis is boundedness of the reference sol…
A model of a non-isothermal two phase flow of compressible fluids
Eduard Feireisl, Madalina Petcu, Bangwei She
We introduce a simple model of the time evolution of a binary mixture of compressible fluids including the thermal effects. Despite its apparent simplicity, the model is thermodyna…
Numerical analysis of a model of two phase compressible fluid flow
Eduard Feireisl, Madalina Petcu, Bangwei She
We consider a model of a binary mixture of two immiscible compressible fluids. We propose a numerical scheme and discuss its basic properties: Stability, consistency, convergence.…
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 diffuse interface model of a two-phase flow with thermal fluctuations
Eduard Feireisl, Madalina Petcu
We consider a model of a two phase flow proposed by Anderson, McFadden and Wheeler taking into account possible thermal fluctuations. The mathematical model consists of the compres…
Parallel Matrix Function Evaluation via Initial value ODE modelling
Jean-Paul Chehab, Madalina Petcu
The purpose of this article is to propose ODE based approaches for the numerical evaluation of matrix functions , a question of major interest in the numerical linear algebra…
The nonlinear 2D supercritical inviscid shallow water equations in a rectangle
Aimin Huang, Madalina Petcu, Roger Temam
In this article we consider the inviscid two-dimensional shallow water equations in a rectangle. The flow occurs near a stationary solution in the so called supercritical regime an…