Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations
Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
TL;DR
This paper establishes a criterion ensuring the existence of global strong solutions to the 3D Navier-Stokes equations for any regular initial data, advancing understanding of fluid dynamics and mathematical analysis.
Contribution
It introduces a new criterion that guarantees global strong solutions for the 3D Navier-Stokes system regardless of initial data regularity.
Findings
Provides a criterion for global strong solutions
Applicable to any regular initial data
Advances theoretical understanding of Navier-Stokes equations
Abstract
In this note we give a criterion for the existence of global strong solutions for the 3D Navier-Stokes system for any regular initial data.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Navier-Stokes equation solutions · Advanced Mathematical Physics Problems