Well-posedness of the compressible boundary layer equations with data in the Gevrey class
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910139213152256 |
|---|---|
| author | Wang, Ya-Guang Zhao, Yi-Lei |
| author_facet | Wang, Ya-Guang Zhao, Yi-Lei |
| contents | This paper is devoted to the study of the compressible boundary layer equations in the Gevrey-2 solution space. Compared to the classical Prandtl equation, the additional complexity arises from the strong interaction between viscous layer and thermal layer. By introducing new auxiliary functions and observing the cancellation mechanism to overcome the loss of derivatives, we show the local existence and uniqueness of the solution in the Gevrey-2 space in the tangential variable and Sobolev regularity in the normal variable by using a direct energy method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15878 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Well-posedness of the compressible boundary layer equations with data in the Gevrey class Wang, Ya-Guang Zhao, Yi-Lei Analysis of PDEs 35Q35, 35M13, 35B65, 76N20 This paper is devoted to the study of the compressible boundary layer equations in the Gevrey-2 solution space. Compared to the classical Prandtl equation, the additional complexity arises from the strong interaction between viscous layer and thermal layer. By introducing new auxiliary functions and observing the cancellation mechanism to overcome the loss of derivatives, we show the local existence and uniqueness of the solution in the Gevrey-2 space in the tangential variable and Sobolev regularity in the normal variable by using a direct energy method. |
| title | Well-posedness of the compressible boundary layer equations with data in the Gevrey class |
| topic | Analysis of PDEs 35Q35, 35M13, 35B65, 76N20 |
| url | https://arxiv.org/abs/2604.15878 |