Large-time behavior of axisymmetric Navier-Stokes flows

Paper Title:

Fine large-time asymptotics for the axisymmetric Navier--Stokes equations

Published on:

7 November 2023

Primary Category:

Analysis of PDEs

Paper Authors:

Christian Seis,

Dominik Winkler

Bullets

Key Details

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Examines asymptotic behavior of axisymmetric Navier-Stokes flows

•

Constructs higher-order expansions for vorticity using L2 methods

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Flow vorticity decays over time in a precise, predictable way

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Techniques are elementary yet yield detailed asymptotic results

Explore the topics in this paper

asymptotic-analysis

axisymmetric-flows

navier-stokes-equations

swirling-fluids

vorticity

AI generated summary

Large-time behavior of axisymmetric Navier-Stokes flows

This paper examines the long-term behavior of solutions to the axisymmetric Navier-Stokes equations, which model swirling fluid flows with rotational symmetry. The authors construct higher-order asymptotic expansions that precisely describe how the vorticity, or swirling motion, of these flows decays over time. Their techniques rely only on standard L2 methods, avoiding more complex tools, yet yield detailed asymptotic results.