1 citations · 2 across the 3 of their papers we have counts for
5 papers
Local and global well-posedness of one-dimensional free-congested equations
Anne-Laure Dalibard, Charlotte Perrin
This paper is dedicated to the study of a one-dimensional congestion model, consisting of two different phases. In the congested phase, the pressure is free and the dynamics is inc…
Traveling waves for the porous medium equation in the incompressible limit: asymptotic behavior and nonlinear stability
Anne-Laure Dalibard, Gabriela Lopez-Ruiz, Charlotte Perrin
In this study, we analyze the behavior of monotone traveling waves of a one-dimensional porous medium equation modeling mechanical properties of living tissues. We are interested i…
Partially congested propagation fronts in one-dimensional Navier-Stokes equations
Anne-Laure Dalibard, Charlotte Perrin
These notes are dedicated to the analysis of the one-dimensional free-congested Navier-Stokes equations. After a brief synthesis of the results obtained in [4] related to the exist…
A convergent FV-FEM scheme for the stationary compressible Navier-Stokes equations
Charlotte Perrin, Khaled Saleh
In this paper, we propose a discretization of the multi-dimensional stationary compressible Navier-Stokes equations combining finite element and finite volume techniques. As the me…
Existence and stability of partially congested propagation fronts in a one-dimensional Navier-Stokes model
Anne-Laure Dalibard, Charlotte Perrin
In this paper, we analyze the behavior of viscous shock profiles of one-dimensional compressible Navier-Stokes equations with a singular pressure law which encodes the effects of c…