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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

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Showing 2025Show all

3 papers · 1 filter

math.AP2025

The analytic method of constructing local-in-time solutions of the incompressible Euler equations in Sobolev spaces

I. Kukavica, W. S. Ożański

We introduce a new method for constructing local-in-time solutions of the incompressible Euler equations in Sobolev spaces on an arbitrary Sobolev bounded domain. The method is bas…

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 of by balls of radius bigger or equal satisfying two conditions: (i) any ball intersects at most other balls, and (ii)…

math.AP2025

Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation

In-Jee Jeong, Luis Martínez-Zoroa, Wojciech S. Ożański

We prove instantaneous and continuous-in-time loss of supercritical Sobolev regularity for the 3D incompressible Euler equations in . Namely, for any …