Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of the Stokes-Coriolis system in the half-space over a
  rough surface   This paper is devoted to the well-posedness of the stationary $3$d
Stokes-Coriolis system set in a half-space with rough bottom and Dirichlet data
which does not decrease at space infinity. Our system is a linearized version
of the Ekman boundary layer system. We look for a solution of infinite energy
in a space of Sobolev regularity. Following an idea of G\'erard-Varet and
Masmoudi, the general strategy is to reduce the problem to a bumpy channel
bounded in the vertical direction thanks a transparent boundary condition
involving a Dirichlet to Neumann operator. Our analysis emphasizes some strong
singularities of the Stokes-Coriolis operator at low tangential frequencies.
One of the main features of our work lies in the definition of a Dirichlet to
Neumann operator for the Stokes-Coriolis system with data in the Kato space
$H^{1/2}_{uloc}$.

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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex