Analyticity estimates for the Navier-Stokes equations
Ira Herbst, Erik Skibsted
TL;DR
This paper investigates the spatial analyticity of Navier-Stokes solutions, providing new growth estimates for the analyticity radius and stability results for solutions with initial data in Sobolev spaces.
Contribution
It introduces novel growth rate estimates for the analyticity radius and establishes stability properties of global solutions with data in H^r spaces.
Findings
New bounds for the growth of the analyticity radius.
Stability results for solutions with initial data in H^r, r ≥ 1/2.
Proof of a stability theorem for the analyticity radius.
Abstract
We study spatial analyticity properties of solutions of the Navier-Stokes equations and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equations with data in H^r, r greater or equal 1/2, and prove a stability result for the analyticity radius.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Stability and Controllability of Differential Equations