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math.AP2024
Dissipative Euler flows originating from circular vortex filaments
Francisco Gancedo, Antonio Hidalgo-Torné, Francisco Mengual
In this paper, we prove the first existence result of weak solutions to the 3D Euler equation with initial vorticity concentrated in a circle and velocity field in $C([0,T],L^{2^-}…
math.AP2024
On the global well-posedness of interface dynamics for gravity Stokes flow
Francisco Gancedo, Rafael Granero-Belinchón, Elena Salguero
In this paper we establish the global-in-time well-posedness for an arbitrary , , initial internal wave for the free boundary gravity Stokes system in two dimension…