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arxiv: 0909.4111 · v1 · submitted 2009-09-22 · 🧮 math.AP

Stability in L¹ of circular vortex patches

classification 🧮 math.AP
keywords patchesvortexcircularstabilityboundedclassequalestablished
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The motion of incompressible and ideal fluids is studied in the plane. The stability in $L^1$ of circular vortex patches is established among the class of all bounded vortex patches of equal strength without any restriction on the size of the initial perturbation.

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