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arXiv · 1903.07016

Well-posedness and blowup of the geophysical boundary layer problem

Xiang Wang·Ya-Guang Wang
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Abstract

Under the assumption that the initial velocity and outflow velocity are analytic in the horizontal variable, the local well-posedness of the geophysical boundary layer problem is obtained by using energy method in the weighted Chemin-Lerner spaces. Moreover, when the initial velocity and outflow velocity satisfy certain condition on a transversal plane, it is proved that the $W^{1,\infty}-$norm of any smooth solution decaying exponentially in the normal variable to the geophysical boundary layer problem blows up in a finite time.

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Xiang Wang, Ya-Guang Wang. 2019-03-17. Well-posedness and blowup of the geophysical boundary layer problem. https://arxiv.org/abs/1903.07016

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