Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniqueness of solutions for a mathematical model for
  magneto-viscoelastic flows   We investigate uniqueness of weak solutions for a system of partial
differential equations capturing behavior of magnetoelastic materials. This
system couples the Navier-Stokes equations with evolutionary equations for the
deformation gradient and for the magnetization obtained from a special case of
the micromagnetic energy. It turns out that the conditions on uniqueness
coincide with those for the well-known Navier-Stokes equations in bounded
domains: weak solutions are unique in two spatial dimensions, and weak
solutions satisfying the Prodi-Serrin conditions are unique among all weak
solutions in three dimensions. That is, we obtain the so-called weak-strong
uniqueness result in three spatial dimensions.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con