Blow-up analysis for an elliptic equation describing stationary vortex flows with variable intensities in 2D-turbulence

• Ohtsuka Hiroshi

  University of Miyazaki

• Ricciardi Tonia

  University of Naples

• Suzuki Takashi

  Osaka University

Bibliographic Information

Other Title

• 多様な強度をもつ点渦系の定常状態として捉えられた2次元乱流を表す楕円型方程式の爆発解析

Abstract

We consider the mean field equation arising in the high-energy scaling limit of point vortices with a general circulation constraint, when the circulation number density is subject to a probability measure. Mathematically, such an equation is a non-local elliptic equation containing an exponential nonlinearity which depends on this probability measure. We analyze the behavior of blow-up sequences of solutions in relation to the circulation numbers. As an application of our analysis we derive an improved Trudinger-Moser inequality for the associated variational functional.

Journal

• NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan

  NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan 58 (0), 257-257, 2009

  National Committee for IUTAM

Details

• CRID: 1390001205592758400
• NII Article ID: 130004604346
• DOI: 10.11345/japannctam.58.0.257.0
• Text Lang: ja
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed