no. 1
Linear instability implies nonlinear instability for various types of viscous boundary layers
Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 1, pp. 87-106. 
@article{AIHPC_2003__20_1_87_0,
     author = {Desjardins, B. and Grenier, E.},
     title = {Linear instability implies nonlinear instability for various types of viscous boundary layers},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {87--106},
     publisher = {Elsevier},
     volume = {20},
     number = {1},
     year = {2003},
     mrnumber = {1958163},
     zbl = {01901028},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPC_2003__20_1_87_0/}
}
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Desjardins, B.; Grenier, E. Linear instability implies nonlinear instability for various types of viscous boundary layers. Annales de l'I.H.P. Analyse non linéaire, Tome 20 (2003) no. 1, pp. 87-106. http://archive.numdam.org/item/AIHPC_2003__20_1_87_0/

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