Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 717-775 |
| Journal / Publication | Journal of the European Mathematical Society |
| Volume | 22 |
| Issue number | 3 |
| Online published | 15 Nov 2019 |
| Publication status | Published - 2020 |
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Abstract
We study the well-posedness of the Prandtl system without monotonicity and analyticity assumption. Precisely, for any index σ ∈ [3/2, 2], we obtain the local in time well-posedness in the space of Gevrey class Gσ in the tangential variable and Sobolev class in the normal variable so that the monotonicity condition on the tangential velocity is not needed to overcome the loss of tangential derivative. This answers an open question raised by D. Gérard-Varet and N. Masmoudi [Ann. Sci. École Norm. Sup. (4) 48 (2015), 1273-1325], who solved the case σ = 7/4.
Research Area(s)
- Gevrey class, Non-degenerate critical points, Prandtl boundary layer
Citation Format(s)
Well-posedness in Gevrey function spaces for the Prandtl equations with non-degenerate critical points. / Li, Wei-Xi; Yang, Tong.
In: Journal of the European Mathematical Society, Vol. 22, No. 3, 2020, p. 717-775.
In: Journal of the European Mathematical Society, Vol. 22, No. 3, 2020, p. 717-775.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
