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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.08082 |
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| _version_ | 1866915082211950592 |
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| author | Dominguez, Oscar Milman, Mario |
| author_facet | Dominguez, Oscar Milman, Mario |
| contents | Using extrapolation theory, we develop a new framework to prove the uniqueness of solutions for transport equations. We apply our methodology to unify and extend the classical results of Yudovich and Vishik for 2D Euler equations. In particular, we establish the uniqueness for the Euler flow whose vorticity belongs to new scales of function spaces that contain both Yudovich spaces and BMO. We give a self contained presentation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_08082 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniqueness for 2D Euler and transport equations via extrapolation Dominguez, Oscar Milman, Mario Analysis of PDEs Functional Analysis 46M35, 76B03 Using extrapolation theory, we develop a new framework to prove the uniqueness of solutions for transport equations. We apply our methodology to unify and extend the classical results of Yudovich and Vishik for 2D Euler equations. In particular, we establish the uniqueness for the Euler flow whose vorticity belongs to new scales of function spaces that contain both Yudovich spaces and BMO. We give a self contained presentation. |
| title | Uniqueness for 2D Euler and transport equations via extrapolation |
| topic | Analysis of PDEs Functional Analysis 46M35, 76B03 |
| url | https://arxiv.org/abs/2306.08082 |