W. Ożański

activity

20162026

most citedLeray's fundamental work on the Navier-Stokes equations: a modern review of "Sur le mouvement d'un liquide visqueux emplissant l'espace"

24 citations · 90 across the 33 of their papers we have counts for

collaborators

Showing 2021Show all

6 papers · 1 filter

math.AP2021

Global well-posedness and exponential decay for a fluid-structure model with small data

Igor Kukavica, Wojciech S. Ożański

We address the system of partial differential equations modeling motion of an elastic body interacting with an incompressible fluid. The fluid is modeled by the incompressible Navi…

math.AP2021

Well-posedness of logarithmic spiral vortex sheets

T. Cieślak, P. Kokocki, W. S. Ożański

We consider a family of 2D logarithmic spiral vortex sheets which include the celebrated spirals introduced by Prandtl (Vorträge aus dem Gebiete der Hydro- und Aero-dynamik, 1922)…

math.AP2021★ 2 cited

Quantitative transfer of regularity of the incompressible Navier-Stokes equations from $R^{3}$ to the case of a bounded domain

Wojciech S. Ożański

Let $u_{0} \in C_{0}^{5} (B_{R_{0}})$ be divergence-free and suppose that $u$ is a strong solution of the three-dimensional incompressible Navier-Stokes equations on $[0, T]$ in the whole s…

math.AP2021

Local-in-time existence of free-surface 3D Euler flow with $H^{2 + δ}$ initial vorticity in a neighborhood of the free boundary

Igor Kukavica, Wojciech S. Ożański

We consider the three-dimensional Euler equations in a domain with a free boundary with no surface tension. We assume that $u_{0} \in H^{2.5 + δ}$ is such that $\mathrm{curl}\,u_0 \in…

math.AP2021★ 2 cited

A partial uniqueness result and an asymptotically sharp nonuniqueness result for the Zhikov problem on the torus

Tomasz Cieślak, Wojciech S. Ożański

We consider the stationary diffusion equation $- div (\nabla u + b u) = f$ in $n$ -dimensional torus $T^{n}$ , where $f \in H^{- 1}$ is a given forcing and $b \in L^{p}$ is a…

math.AP2021★ 3 cited

An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range

Igor Kukavica, Wojciech S. Ożański

We show that a suitable weak solution to the incompressible Navier-Stokes equations on $R^{3} \times (- 1, 1)$ is regular on $R^{3} \times (0, 1]$ if $\partial_{3} u$ belon…

Global well-posedness and exponential decay for a fluid-structure model with small data

Well-posedness of logarithmic spiral vortex sheets

Quantitative transfer of regularity of the incompressible Navier-Stokes equations from R3 to the case of a bounded domain

Local-in-time existence of free-surface 3D Euler flow with H2+δ initial vorticity in a neighborhood of the free boundary

A partial uniqueness result and an asymptotically sharp nonuniqueness result for the Zhikov problem on the torus

An anisotropic regularity condition for the 3D incompressible Navier-Stokes equations for the entire exponent range

Quantitative transfer of regularity of the incompressible Navier-Stokes equations from $R^{3}$ to the case of a bounded domain

Local-in-time existence of free-surface 3D Euler flow with $H^{2 + δ}$ initial vorticity in a neighborhood of the free boundary