Enhanced Dissipation and Axisymmetrization of Two-Dimensional Viscous Vortices
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1262-0
Abstract: AbstractThis paper is devoted to the stability analysis of the Lamb–Oseen vortex in the regime of high circulation Reynolds numbers. When strongly localized perturbations are applied, it is shown that the vortex relaxes to axisymmetry… read more here.
Keywords: dimensional viscous; two dimensional; dissipation; dissipation axisymmetrization ... See more keywords
Enhanced dissipation and Hörmander's hypoellipticity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2022.109522
Abstract: We examine the phenomenon of enhanced dissipation from the perspective of Hörmander’s classical theory of second order hypoelliptic operators [31]. Consider a passive scalar in a shear flow, whose evolution is described by the advection–diffusion… read more here.
Keywords: dissipation rmander; shear; dissipation; rmander hypoellipticity ... See more keywords