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Global regularity of solutions to the 2D steady compressible Prandtl equations
- Source :
- Communications in Analysis and Mechanics, Vol 15, Iss 4, Pp 695-715 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- In this paper, we study the global $ C^{\infty} $ regularity of solutions to the boundary layer equations for two-dimensional steady compressible flow under the favorable pressure gradient. To our knowledge, the difficulty of the proof is the degeneracy near the boundary. By using the regularity theory and maximum principles of parabolic equations together with the von Mises transformation, we give a positive answer to it. When the outer flow and the initial data satisfied appropriate conditions, we prove that Oleinik type solutions smooth up the boundary $ y = 0 $ for any $ x > 0 $.
Details
- Language :
- English
- ISSN :
- 28363310
- Volume :
- 15
- Issue :
- 4
- Database :
- Directory of Open Access Journals
- Journal :
- Communications in Analysis and Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.bc5cb79ef9dd4b719935d1f86ecdf508
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/cam.2023034?viewType=HTML