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Zeitschrift für Analysis und ihre Anwendungen


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Volume 18, Issue 2, 1999, pp. 183–191
DOI: 10.4171/ZAA/876

Published online: 1999-06-30

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

Elias Wegert[1] and A.S. Vasudeva Murthy

(1) Bergakademie Freiberg, Germany

We propose a one-dimensional model for the vorticity equation involving viscos-ity. 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, Hubert transform, blow-up

Wegert Elias, Vasudeva Murthy A.S.: Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation. Z. Anal. Anwend. 18 (1999), 183-191. doi: 10.4171/ZAA/876