On the origin of singularities in vortex sheet motion

S. J. Cowley, G. R. Baker, S. Tanveer, M. Page

Research output: Contribution to conferencePaper


Previous studies, both analytic and numerical in nature, have provided convincing evidence that vortex sheets form curvature singularities in finite time. An interesting perspective has been developed by considering the parametrization variable for the sheet location as a complex variable. The analytic properties of the sheet location, regarded as a complex-valued function of the complex parametrization variable, may be determined by knowledge of all singularities, if any, in the complex plane. In particular, singularities may form and move about the plane, and even reach the real axis in finite time, at which point the sheet exhibits a physical singularity. In this paper, we discuss the origin of these complex singularities especially when the initial sheet location is analytic everywhere in the complex plane.

Original languageEnglish
Number of pages9
Publication statusPublished - 1 Jan 1995
EventFluid Dynamics Conference, 1995 - San Diego, United States of America
Duration: 19 Jun 199522 Jun 1995


ConferenceFluid Dynamics Conference, 1995
CountryUnited States of America
CitySan Diego

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