Well-Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1755-1797 |
| Journal / Publication | Communications on Pure and Applied Mathematics |
| Volume | 75 |
| Issue number | 8 |
| Online published | 30 Mar 2021 |
| Publication status | Published - Aug 2022 |
Link(s)
Abstract
We establish the well-posedness in Gevrey function space with optimal class of regularity 2 for the three-dimensional Prandtl system without any structural assumption. The proof combines in a novel way a new cancellation in the system with some of the old ideas to overcome the difficulty of the loss of derivatives in the system. This shows that the three-dimensional instabilities in the system leading to ill-posedness are not worse than the two-dimensional ones. © 2021 Wiley Periodicals LLC.
Citation Format(s)
Well-Posedness in Gevrey Function Space for 3D Prandtl Equations without Structural Assumption. / LI, Wei-Xi; MASMOUDI, Nader; YANG, Tong.
In: Communications on Pure and Applied Mathematics, Vol. 75, No. 8, 08.2022, p. 1755-1797.
In: Communications on Pure and Applied Mathematics, Vol. 75, No. 8, 08.2022, p. 1755-1797.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
