Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient estimates for Stokes systems with Dini mean oscillation
  coefficients   We study the stationary Stokes system in divergence form. The coefficients
are assumed to be merely measurable in one direction and have Dini mean
oscillations in the other directions. We prove that if $(u,p)$ is a weak
solution of the system, then $(Du,p)$ is bounded and its certain linear
combinations are continuous. We also prove a weak type-$(1,1)$ estimate for
$(Du,p)$ under a stronger assumption on the $L^1$-mean oscillation of the
coefficients. The corresponding results up to the boundary on a half ball are
also established. These results are new even for elliptic equations and
systems.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph