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arXiv · 2604.15721

Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models

Anping Pan
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Abstract

In this paper, we study the lifespan and continuation criteria of several two-dimensional incompressible fluid models. Motivated by a novel energy-vorticity formulation, combining linear transport estimate and a bootstrap argument, we are able to show several longtime existence results of two dimensional fluid models in the close-to-Euler regime. A byproduct of our approach is a new conditional BKM type result for the inhomogeneous incompressible Euler equation.

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Anping Pan. 2026-04-17. Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models. https://arxiv.org/abs/2604.15721

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