Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Lipschitz stability for an inverse source problem for the
  Navier-Stokes equations   For linearized Navier-Stokes equations, we consider an inverse source problem
of determining a spatially varying divergence-free factor. We prove the global
Lipschitz stability by interior data over a time interval and velocity field at
$t_0>0$ over the spatial domain. The key are Carleman estimates for the
Navier-Stokes equations and the operator rot.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th