1 citations · 2 across the 4 of their papers we have counts for
6 papers · 1 filter
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…
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…