W. Ożański

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20222025

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math.AP2025

A unified theory of existence of suitable weak solutions to the 3D incompressible Navier-Stokes equations for non-decaying initial data

A. Balakrishna, I. Kukavica, W. S. Ożański

We consider any cover $C$ of $R^{3}$ by balls of radius bigger or equal $1$ satisfying two conditions: (i) any ball intersects at most $σ > 0$ other balls, and (ii)…

math.AP2024

Exact boundary controllability of the 3D incompressible ideal MHD system

Igor Kukavica, Wojciech S. Ożański

We consider the three-dimensional ideal MHD system on a domain $Ω^{'} \subset R^{3}$ with a part $Γ$ of the boundary~ $\partial Ω$ , where we prescribe both $u \cdot n$ and $b\cdo…

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 $ρ$ and a velocity field $v$ on the torus, and is described by the…