Nonlinear stability of circular vortex patches |
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Authors: | Y H Wan M Pulvirenti |
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Institution: | (1) Department of Mathematics, State University of New York, 14214 Buffalo, NY, USA;(2) Dipartimento di Matematica, Universita di Roma La Spienza, P. Aldo Moro, 00185 Roma, Italy |
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Abstract: | This paper proves that circular vortex patches in the plane are stable for the nonlinear dynamical system generated by the Euler equations of incompressible fluids. This is achieved by establishing a relative variational principle in terms of either energy or angular momentum. Thus, we exploit and extend Arnold's idea in (1965, 1969) to a nonsmooth setting as well.Research partially supported by DOE contract DE-AT03-82ER12097 to the University of California, Berkeley |
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