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math.AP2024★ 1 cited
A Classification Theorem for Steady Euler Flows
Tarek M. Elgindi, Yupei Huang, Ayman R. Said +1
Fix a bounded, analytic, and simply connected domain We show that all analytic steady states of the Euler equations with stream function are either radi…
math.AP2024
Finite-time singularity formation for scalar stretching equations
Roberta Bianchini, Tarek M. Elgindi
We consider equations of the type: \[\partial_t ω= ωR(ω),\] for general linear operators in any spatial dimension. We prove that such equations almost always exhibit finite-tim…