Unique local existence of strong solutions to the 3D incompressible Euler equations in bounded domains is established for initial data in the critical Besov space B^{5/2}_{2,1}(A) via the vanishing viscosity method.
Chae,On the well-posedness of the Euler equations in the Triebel– Lizorkin spaces., Comm
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Incompressible Euler equations in 3D bounded domains in a critical space
Unique local existence of strong solutions to the 3D incompressible Euler equations in bounded domains is established for initial data in the critical Besov space B^{5/2}_{2,1}(A) via the vanishing viscosity method.