EMIS ELibM Electronic Journals Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 2, pp. 183 - 191 (1999)

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Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation

E. Wegert and A. S. Vasudeva Murthy

A. Wegert: TU Bergakademie, Fak. Math. & Inform., D-09596 Freiberg
A. S. Vasudeva Murthy: TIFR Centre, Indian Inst. Sci., Bangalore 560 012, India

Abstract: We propose a one-dimensional model for the vorticity equation involving viscosity. Complex methods are utilzed in order to study finite time blow-up of the solutions. In particular, it is shown that the blow-up time depends monotoneously on the viscosity.

Keywords: vorticity equation, Hilbert transform, blow-up

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Electronic fulltext finalized on: 31 Jul 2001. This page was last modified: 9 Nov 2001.

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