7 citations · 15 across the 19 of their papers we have counts for
5 papers · 1 filter
A new construction of weak solutions to compressible Navier-Stokes equations
Nilasis Chaudhuri, Piotr B. Mucha, Ewelina Zatorska
We prove the existence of the weak solutions to the compressible Navier--Stokes system with barotropic pressure for in three space dimension. The…
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…
Nonuniqueness of weak solutions to the dissipative Aw-Rascle model
Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska
We prove nonuniqueness of weak solutions to multi-dimensional generalisation of the Aw-Rascle model of vehicular traffic. Our generalisation includes the velocity offset in a form…
On weak(measure valued)-strong uniqueness for Navier-Stokes-Fourier system with Dirichlet boundary condition
Nilasis Chaudhuri
In this paper, our goal is to define a measure valued solution of compressible Navier--Stokes--Fourier system for a heat conducting fluid with Dirichlet boundary condition for temp…
Analysis of the generalised Aw-Rascle model
Nilasis Chaudhuri, Piotr Gwiazda, Ewelina Zatorska
We consider the multi-dimensional generalization of the Aw-Rascle system for vehicular traffic. For an arbitrary large class of initial data and the periodic domain, we prove the e…