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20082023
most citedExistence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology

4 citations · 9 across the 13 of their papers we have counts for

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math.AP2023

Non-isochoric stable granular models taking into account fluidisation by pore gas pressure

Laurent Chupin, Thierry Dubois

In this paper, we study non-isochoric models for mixtures of solid particles, at high volume concentration, and a gas. One of the motivations of this work concerns geophysics and m…

math.AP2021

Variational inequality solutions and finite stopping time for a class of shear-thinning flows

Laurent Chupin, Nicolae Cîndea, Geoffrey Lacour

The aim of this paper is to study the existence of a finite stopping time for solutions in the form of variational inequality to fluid flows following a power law (or Ostwald-DeWae…

math.AP2018

Global strong solutions for some differential viscoelastic models

Laurent Chupin

The purpose of this article is to show that there are many differential viscoelastic models for which the global existence of a regular solution is possible. Although the problem o…

math.AP2018

A bi-projection method for incompressible Bingham flows with variable density, viscosity and yield stress

Rénald Chalayer, Laurent Chupin, Thierry Dubois

A new numerical scheme for solving incompressible Bingham flows with variable density, plastic viscosity and yield stress is proposed. The mathematical and computational difficulti…

math.AP2016★ 4 cited

Existence theorem for homogeneous incompressible Navier-Stokes equation with variable rheology

Laurent Chupin, Jordane Mathé

We look at a homogeneous incompressible fluid with a time and space variable rheology of Bingham type, which is governed by a coupling equation. Such a system is a simplified model…

math.AP2015

Viscoelastic Flows In A Rough Channel: A Multiscale Analysis

Laurent Chupin, Sébastien Martin

In this paper, we consider viscoelastic flows in a rough domain (with typical roughness patterns of size < 1). We present and rigorously justify an asymptotic expansion with re…