Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Perrin Charlotte"'
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 72, Pp 41-63 (2023)
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-incompressible system modeling partially congested dynamics, for small data i
Externí odkaz:
https://doaj.org/article/31a3400424cf414eae6256d8fe32826a
Autor:
Perrin Charlotte
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 69, Pp 56-69 (2020)
The goal of this note is to put into perspective the recent results obtained on memory effects in partially congested fluid systems of Euler or Navier-Stokes type with former studies on free boundary obstacle problems and Hele-Shaw equations. In part
Externí odkaz:
https://doaj.org/article/731001606f6a47e886973bb96beb7e57
We introduce the notion of duality solution for the hard-congestion model on the real line, and additionally prove an existence result for this class of solutions. Our study revolves around the analysis of a generalised Aw-Rascle system, where the of
Externí odkaz:
http://arxiv.org/abs/2402.08295
Autor:
Perrin Charlotte
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 58, Pp 78-97 (2017)
We present in this work a system for unidimensional granular flows first mentioned in a paper of A. Lefebvre–Lepot and B. Maury (2011), which captures the transitions between compressible and incompressible phases. This model exhibits in the incomp
Externí odkaz:
https://doaj.org/article/8ab95c0a2124405fb17656aed7690dad
Publikováno v:
ESAIM: Proceedings and Surveys, Vol 55, Pp 131-147 (2016)
We are interested in this paper in the modelling and numerical simulation of some phenomena that are observed in the context of car dynamics, in particular the appearance of persistent jams upstream critical points with no real cause of flux limitati
Externí odkaz:
https://doaj.org/article/b9360abd6ed04849ac8f8b50fab01b08
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-incompressible system modeling partially congested dynamics, for small data i
Externí odkaz:
http://arxiv.org/abs/2211.08767
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 function of the density. This leads to a dissipation in the momentum equatio
Externí odkaz:
http://arxiv.org/abs/2209.12449
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 incompressible, whereas in the non-congested phase, the fluid obeys a pre
Externí odkaz:
http://arxiv.org/abs/2111.04349
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 in the asymptotics where the pressure, which governs the diffusion proc
Externí odkaz:
http://arxiv.org/abs/2108.10563
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 existence and the asymptotic stability of partially congested profiles asso
Externí odkaz:
http://arxiv.org/abs/2105.01336