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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…

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

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…