Existence of Strong Solutions for the 3D Navier-Stokes System
Michael Z. Zgurovsky, Pavlo O. Kasyanov
TL;DR
This paper investigates the conditions under which strong solutions to the three-dimensional Navier-Stokes equations exist, focusing on their regularity properties to advance understanding of fluid dynamics.
Contribution
It establishes new criteria for the existence of strong solutions to the 3D Navier-Stokes system, contributing to the mathematical theory of fluid mechanics.
Findings
Identifies conditions ensuring strong solution existence
Provides regularity criteria for solutions
Advances theoretical understanding of Navier-Stokes equations
Abstract
Regularity properties of strong solutions are considered.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions