7 citations · 13 across the 9 of their papers we have counts for
11 papers
Hard-congestion limit of the p-system in the BV setting
Fabio Ancona, Roberta Bianchini, Charlotte Perrin
This note is concerned with the rigorous justification of the so-called hard congestion limit from a compressible system with singular pressure towards a mixed compressible-incompr…
Hard congestion limit of the dissipative Aw-Rascle system
N Chaudhuri, L Navoret, Charlotte Perrin +1
In this study, we analyse the famous Aw-Rascle system in which the difference between the actual and the desired velocities (the offset function) is a gradient of a singular functi…
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…
Soft congestion approximation to the one-dimensional constrained Euler equations
Roberta Bianchini, Charlotte Perrin
This article is concerned with the analysis of the one-dimensional compressible Euler equations with a singular pressure law, the so-called hard sphere equation of state. The resul…
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…
One-dimensional granular system with memory effects
Charlotte Perrin, Michael Westdickenberg
We consider a hybrid compressible/incompressible system with memory effects introduced by Lefebvre Lepot and Maury (2011) for the description of one-dimensional granular flows. We…
Pressure Dependent Viscosity Model for Granular Media Obtained from Compressible Navier-Stokes Equations
Charlotte Perrin
The aim of this article is to justify mathematically, in the two-dimensional periodic setting, a generalization of a two-phase model with pressure dependent viscosity first propose…
Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
Charlotte Perrin, Ewelina Zatorska
We approximate a two--phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global…