Initial data is constructed for 2D gravity-capillary water waves with vorticity in an unbounded domain such that the L^∞ norm of the vorticity gradient grows at least double-exponentially during the solution lifespan.
Sulla propriet` a isoperimetrica dell’ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita.Atti Accad
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Small scale creation in 2D gravity-capillary water waves with vorticity
Initial data is constructed for 2D gravity-capillary water waves with vorticity in an unbounded domain such that the L^∞ norm of the vorticity gradient grows at least double-exponentially during the solution lifespan.