Regularity of Leray-Hopf solutions to Navier-Stokes equations
Jian Zhai
TL;DR
This paper investigates the conditions under which Leray-Hopf solutions to the Navier-Stokes equations remain regular, providing insights into the behavior of solutions near potential blow-up scenarios.
Contribution
It offers new results on the regularity criteria for Leray-Hopf solutions, advancing understanding of solution behavior in Navier-Stokes equations.
Findings
Characterization of blow-up behaviors
Conditions ensuring solution regularity
Insights into Navier-Stokes solution limits
Abstract
Limit behaviors of blow up solutions for impressible Navier-Stokes equations are obtained.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations