4 papers
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…
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…
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…
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…