Stability of the Inviscid Power-Law Vortex in Self-Similar Coordinates

Autor:	Coiculescu, Matei P.
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs Physics - Fluid Dynamics
Druh dokumentu:	Working Paper
Popis:	We prove that the stationary power-law vortex $\overline{\omega}(x) = \beta |x|^{-\alpha}$, which explicitly solves the incompressible Euler equations in $\mathbb{R}^2$, is linearly stable in self-similar coordinates with the natural scaling. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.13397 Zobrazit plný text záznamu View this record from Arxiv