activity
20222025
most citedThe compressible Euler system with nonlocal pressure: Global existence and relaxation

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2025

Compressible fluids excited by space-dependent transport noise

D. Breit, E. Feireisl, M. Hofmanova +1

We study the compressible Navier-Stokes system driven by physically relevant transport noise, where the noise influences both the continuity and momentum equations. Our approach is…

math.AP2024

Inhomogenous Navier--Stokes equations with unbounded density

Jean-Paul Adogbo, Piotr B. Mucha, Maja Szlenk

In the current state of the art regarding the Navier--Stokes equations, the existence of unique solutions for incompressible flows in two spatial dimensions is already well-establi…

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

Construction of weak solutions to a pressureless viscous model driven by nonlocal attraction-repulsion

Piotr B. Mucha, Maja Szlenk, Ewelina Zatorska

We analyze the pressureless Navier-Stokes system with nonlocal attraction-repulsion forces. Such systems appear in the context of models of collective behavior. We prove the existe…

math.AP2023★ 1 cited

The compressible Euler system with nonlocal pressure: Global existence and relaxation

Raphael Danchin, Piotr Boguslaw Mucha

We here investigate a modification of the compressible barotropic Euler system with friction, involving a fuzzy nonlocal pressure term in place of the conventional one. This nonloc…

math.AP2022

Global-in-time stability of ground states of a pressureless hydrodynamic model of collective behaviour

P. B. Mucha, W. S. Ożański

We consider a pressureless hydrodynamic model of collective behaviour, which is concerned with a density function and a velocity field on the torus, and is described by the…