Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917490130419712 |
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| author | Pan, Anping |
| author_facet | Pan, Anping |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15721 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models Pan, Anping Analysis of PDEs 35Q35, 76B03, 35B44, 76W05 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. |
| title | Remarks on Lifespan and Continuation Criteria of Two Dimensional Incompressible Fluid Models |
| topic | Analysis of PDEs 35Q35, 76B03, 35B44, 76W05 |
| url | https://arxiv.org/abs/2604.15721 |