no. 4
Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow
Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 4, pp. 1119-1142.

In this paper, we prove the well-posedness of the linearized Prandtl equation around a non-monotonic shear flow in Gevrey class 2−θ for any θ>0. This result is almost optimal by the ill-posedness result proved by Gérard-Varet and Dormy, who construct a class of solution with the growth like ekt for the linearized Prandtl equation around a non-monotonic shear flow.

DOI : 10.1016/j.anihpc.2017.11.001
Mots clés : Prandtl equation, Gevrey class, Well-posedness 
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Chen, Dongxiang; Wang, Yuxi; Zhang, Zhifei. Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow. Annales de l'I.H.P. Analyse non linéaire, Tome 35 (2018) no. 4, pp. 1119-1142. doi : 10.1016/j.anihpc.2017.11.001. http://archive.numdam.org/articles/10.1016/j.anihpc.2017.11.001/

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