Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation
Elias Wegert
Bergakademie Freiberg, GermanyA.S. Vasudeva Murthy
Indian Institute of Science, Bangalore, India
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Abstract
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.
Cite this article
Elias Wegert, A.S. Vasudeva Murthy, Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation. Z. Anal. Anwend. 18 (1999), no. 2, pp. 183–191
DOI 10.4171/ZAA/876