Journal article
Confinement of vorticity for the 2D Euler-alpha equations
Journal of Differential Equations, v 265(11), pp 5472-5489
05 Dec 2018
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
In this article we consider weak solutions of the Euler-alpha equations in the full plane. We take, as initial unfiltered vorticity, an arbitrary nonnegative, compactly supported, bounded Radon measure. Global well-posedness for the corresponding initial value problem is due M. Oliver and S. Shkoller. We show that, for all time, the support of the unfiltered vorticity is contained in a disk whose radius grows no faster than O((t log t)(1/4)). This result is an adaptation of the corresponding result for the incompressible 2D Euler equations with initial vorticity compactly supported, nonnegative, and p-th power integrable, p > 2, due to D. Iftimie, T. Sideris and P. Gamblin and, independently, to Ph. Serfati. (C) 2018 Elsevier Inc. All rights reserved.
Metrics
6 Record Views
1 citations in Scopus
Details
- Title
- Confinement of vorticity for the 2D Euler-alpha equations
- Creators
- David M. Ambrose - Drexel UniversityMilton C. Lopes Filho - Univ Fed Rio de Janeiro, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, BrazilHelena J. Nussenzveig Lopes - Univ Fed Rio de Janeiro, Inst Matemat, Caixa Postal 68530, BR-21941909 Rio De Janeiro, RJ, Brazil
- Publication Details
- Journal of Differential Equations, v 265(11), pp 5472-5489
- Publisher
- Elsevier
- Number of pages
- 18
- Grant note
- 202.999/2017; 202.950/2015 / FAPERJ; Fundacao Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio De Janeiro (FAPERJ) DMS-1515849; DMS-1439786 / National Science Foundation; National Science Foundation (NSF) 306886/2014-6; 307918/2014-9 / Conselho Nacional de Desenvolvimento Cientifico e Tecnologico - CNPq; Conselho Nacional de Desenvolvimento Cientifico e Tecnologico (CNPQ)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000445421300002
- Scopus ID
- 2-s2.0-85053836072
- Other Identifier
- 991019169111204721
UN Sustainable Development Goals (SDGs)
This publication has contributed to the advancement of the following goals:
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics