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20182026
most citedOn weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws

7 citations · 15 across the 19 of their papers we have counts for

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7 papers · 1 filter

math.AP2024★ 1 cited

Regular solutions to the dissipative Aw-Rascle system

Nilasis Chaudhuri, Tomasz Piasecki, Ewelina Zatorska

In this paper we prove the local-in-time existence of regular solutions to dissipative Aw-Rascle system with the offset equal to gradient of some increasing and regular function of…

math.AP2024

Construction of weak solutions to the equations of a compressible viscous model

Nilasis Chaudhuri, Piotr B. Mucha, Milan Pokorný

The paper aims on the construction of weak solutions to equations of a model of compressible viscous fluids, being a simplification of the classical compressible Navier-Stokes syst…

math.AP2024

Local existence and conditional regularity for the Navier-Stokes-Fourier system driven by inhomogeneous boundary conditions

Anna Abbatiello, Danica Basaric, Nilasis Chaudhuri +1

We consider the Navier-Stokes-Fourier system with general inhomogeneous Dirichlet-Neumann boundary conditions. We propose a new approach to the local well-posedness problem based o…

math.AP2024

Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment

Nilasis Chaudhuri, Jan Peszek, Maja Szlenk +1

We compare the multi-dimensional generalisation of the Aw-Rascle model with the pressureless Euler-alignment system, in which the communication weight is matrix-valued. Our general…

math.AP2024

On thermally driven fluid flows arising in astrophysics

Nilasis Chaudhuri, Eduard Feireisl, Ewelina Zatorska +1

We consider the Navier-Stokes-Fourier-Poisson system driven by an inhomogeneous temperature distribution on the boundary of an exterior fluid domain. We impose the finite mass cons…

math.AP2024★ 1 cited

Duality solutions to the hard-congestion model for the dissipative Aw-Rascle system

Nilasis Chaudhuri, Muhammed Ali Mehmood, Charlotte Perrin +1

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 revolv…

math.AP2024

Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming

Nilasis Chaudhuri, Young-Pil Choi, Oliver Tse +1

We consider a one-dimensional hydrodynamic model featuring nonlocal attraction-repulsion interactions and singular velocity alignment. We introduce a two-velocity reformulation and…