Stability in $L^1$ of circular vortex patches

Details Stability in $L^1$ of circular vortex patches Stability in $L^1$ of circular vortex patches

2009-09-22

arxiv.org/abs/0909.4111v1

Mathematics

Analysis of PDEs

Scientific paper

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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