Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Stokes-type resolvent problem associated with time-periodic flow
  around a rotating obstacle   Consider the resolvent problem associated with the linearized viscous flow
around a rotating body. Within a setting of classical Sobolev spaces, this
problem is not well posed on the whole imaginary axis. Therefore, a framework
of homogeneous Sobolev spaces is introduced where existence of a unique
solution can be guaranteed for every purely imaginary resolvent parameter. For
this purpose, the problem is reduced to an auxiliary problem, which is studied
by means of Fourier analytic tools in a group setting. In the end, uniform
resolvent estimates can be derived, which lead to the existence of solutions to
the associated time-periodic linear problem.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an