Longtime existence results are established for 2D incompressible fluid models in the close-to-Euler regime via energy-vorticity formulation and bootstrap arguments, yielding a new conditional BKM-type criterion for the inhomogeneous incompressible Euler equation.
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Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
Longtime existence results are established for 2D incompressible fluid models in the close-to-Euler regime via energy-vorticity formulation and bootstrap arguments, yielding a new conditional BKM-type criterion for the inhomogeneous incompressible Euler equation.