Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 2, pp. 183 - 191 (1999)
Blow-Up in a Modified Constantin-Lax-Majda Model for the Vorticity Equation
E. Wegert and A. S. Vasudeva MurthyA. 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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