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.
A priori estimates for fluid interface problems.Commun
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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.