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math.AP2022
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…
math.AP2022
Two-phase compressible/incompressible Navier--Stokes system with inflow-outflow boundary conditions
Milan Pokornyý, Aneta Wróblewska-Kamińska, Ewelina Zatorska
We prove the existence of a weak solution to the compressible Navier--Stokes system with singular pressure that explodes when density achieves its congestion level. This is a quant…