Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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BibTex format

author = {Degond, PAA and Minakowski, P and Zatorska, E},
doi = {10.1016/j.nonrwa.2018.02.001},
journal = {Nonlinear Analysis: Real World Applications},
pages = {485--510},
title = {Transport of congestion in two-phase compressible/incompressible flows},
url = {},
volume = {42},
year = {2018}

RIS format (EndNote, RefMan)

AB - We study the existence of weak solutions to the two-phase fluid model with congestion constraint. The model encompasses the flow in the uncongested regime (compressible) and the congested one (incompressible) with the free boundary separating the two phases. The congested regime appears when the density in the uncongested regime achieves a threshold value that describes the comfort zone of individuals. This quantity is prescribed initially and transported along with the flow. We prove that this system can be approximated by the fully compressible Navier–Stokes system with a singular pressure, supplemented with transport equation for the congestion density. We also present the application of this approximation for the purposes of numerical simulations in the one-dimensional domain.
AU - Degond,PAA
AU - Minakowski,P
AU - Zatorska,E
DO - 10.1016/j.nonrwa.2018.02.001
EP - 510
PY - 2018///
SN - 1468-1218
SP - 485
TI - Transport of congestion in two-phase compressible/incompressible flows
T2 - Nonlinear Analysis: Real World Applications
UR -
UR -
VL - 42
ER -