Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908562745196544 |
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| author | Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan |
| author_facet | Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan |
| contents | In this note, we consider the Cauchy problem for a model of Kolmogorov-Prandtl type equations. For the small perturbation of a constant state, we prove that it admits a unique classical solution with the initial datum in Sobolev space, and it is analytic for any positive times. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_23272 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations Cao, Xiao-Dong Xu, Chao-Jiang Xu, Yan Analysis of PDEs 35K55, 35Q35 In this note, we consider the Cauchy problem for a model of Kolmogorov-Prandtl type equations. For the small perturbation of a constant state, we prove that it admits a unique classical solution with the initial datum in Sobolev space, and it is analytic for any positive times. |
| title | Analytic smoothing effect for a model of Kolmogorov-Prandtl type equations |
| topic | Analysis of PDEs 35K55, 35Q35 |
| url | https://arxiv.org/abs/2509.23272 |