activity
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

collaborators

24 papers

math.AP2026

Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation

Nilasis Chaudhuri, Milan Pokorný, Ewelina Zatorska

We study a viscous one-velocity Baer--Nunziato system for two barotropic compressible fluids in a bounded three-dimensional domain. In contrast with models in which the volume frac…

math.AP2026

Generalized solution and Weak-Strong uniqueness for a barotropic Euler-Riesz system

Nilasis Chaudhuri

We study the Euler--Riesz system on the torus , : the compressible Euler equations with barotropic pressure (, ), coupled to a…

math.AP2026

Homogenization of compressible Navier-Stokes equations under a hard sphere pressure law

Nilasis Chaudhuri, Florian Oschmann

We consider the compressible time-dependent Navier-Stokes equations in a bounded perforated domain in dimensions two and three. Provided the perforations are small enough, we show…

math.AP2025

Anelastic approximation for the degenerate compressible Navier--Stokes equations revisited

Nilasis Chaudhuri, Francesco Fanelli, Yang Li +1

In this paper, we revisit the joint low-Mach and low-Frode number limit for the compressible Navier-Stokes equations with degenerate, density-dependent viscosity. Employing the rel…

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…

math.AP2023

On a blow-up criterion for the Navier-Stokes-Fourier system under general equations of state

Anna Abbatiello, Danica Basarić, Nilasis Chaudhuri

In this paper we prove a blow-up criterion for the compressible Navier-Stokes-Fourier system for general thermal and caloric equations of state with inhomogeneous boundary conditio…

math.AP2023★ 1 cited

Low Mach number limit on perforated domains for the evolutionary Navier-Stokes-Fourier system

Danica Basarić, Nilasis Chaudhuri

We consider the Navier-Stokes-Fourier system describing the motion of a compressible, viscous and heat-conducting fluid on a domain perforated by tiny holes. First, we identify a c…

math.AP2022

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…

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★ 1 cited

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…

math.AP2022

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…

math.AP2022

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…

math.AP2021

Navier-Stokes-Fourier system with Dirichlet boundary conditions

Nilasis Chaudhuri, Eduard Feireisl

We consider the Navier--Stokes--Fourier system describing the motion of a compressible, viscous, and heat conducting fluid in a bounded domain with general non-homogeneous Dirichle…

math.AP2020★ 1 cited

Limit of a consistent approximation to the complete compressible Euler System

Nilasis Chaudhuri

The goal of the present paper is to prove that if a weak limit of a consistent approximation scheme of compressible complete Euler system in the full space $ \mathbb{R}^d,\; d=2,3…

math.AP2019

Multiple scales and singular limits of perfect fluids

Nilasis Chaudhuri

In this article our goal is to study the singular limits for a scaled barotropic Euler system modelling a rotating, compressible and inviscid fluid, where Mach number , Ross…

math.AP2019

Singular limits for compressible inviscid rotating fluids

Nilasis Chaudhuri

We study singular limit for scaled barotropic Euler system modelling a rotating, compressible and inviscid fluid, where Mach and Rossby numbers are proportional to a small paramete…

math.AP2019★ 3 cited

On weak (measure-valued)-strong uniqueness for compressible Navier-Stokes system with non-monotone pressure law

Nilasis Chaudhuri

In this paper our goal is to define a renormalised dissipative measure--valued (rDMV) solution of compressible Navier--Stokes system for fluids with non-monotone pressure--density…

math.AP2018★ 7 cited

On weak-strong uniqueness for compressible Navier-Stokes system with general pressure laws

Nilasis Chaudhuri

The goal of the present paper is to study the weak--strong uniqueness problem for the compressible Navier--Stokes system with a general barotropic pressure law. Our results include…