The 3D Prandtl equations with the special structure v=Ku admit unique stable solutions on arbitrarily long time intervals when the initial data are small monotone perturbations of a shear profile.
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Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure
The 3D Prandtl equations with the special structure v=Ku admit unique stable solutions on arbitrarily long time intervals when the initial data are small monotone perturbations of a shear profile.