Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence
type: Item
instance of: scholarly article
title: Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence
zbMATH Open document ID: 1201.35163
author: Hiroshi Ohtsuka
author: Tonia Ricciardi
author: Takashi Suzuki
published in: Journal of Differential Equations
publication date: 2010-09-17T00:00:00Z
review text: The objective of the paper is the study of a non-local elliptic equation with a nonlinear r.h.s. (an expoenential) depending on a probability measure. [This is a sort of mean-field equation arising in the high-energy scaling limit of point vortices with a circulation constraint, when the circulation number density is subject to a probability measure.] The authors investigate the blow-up behavior of sequences of solutions in relation to the circulation numbers.
reviewed by: Adrian Muntean
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 35R60
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 76F99
zbMATH DE Number: 5787088
zbMATH Keywords: elliptic equations
zbMATH Keywords: blow-up
zbMATH Keywords: vortex flows
zbMATH Keywords: 2D-turbulence
MaRDI profile type: Publication
full work available at URL: j.jde.2010.06.006
OpenAlex ID: W2078923661
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DOI: 10.1016/J.JDE.2010.06.006
description: scientific article; zbMATH DE number 5787088