Continuation of 2D inhomogeneous Euler solutions follows from controlling ∂_{∇^⊥ρ}u, requiring only directional, not full, velocity gradient control.
Chemin: Persistance des structures géométriques liées aux poches de to urbillon
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Geometric blow-up criteria for the non-homogeneous incompressible Euler equations in 2-D
Continuation of 2D inhomogeneous Euler solutions follows from controlling ∂_{∇^⊥ρ}u, requiring only directional, not full, velocity gradient control.