Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The global well-posedness of strong solutions to 2D MHD equations in
  Lei-Lin space   In this paper, we study the Cauchy problem of the 2D incompressible
magnetohydrodynamic equations in Lei-Lin space. The global well-posedness of a
strong solution in the Lei-Lin space $\chi^{-1}(\mathbb{R}^2)$ with any initial
data in $\chi^{-1}(\mathbb{R}^2)\cap L^2(\mathbb{R}^2)$ is established.
Furthermore, the uniqueness of the strong solution in $\chi^{-1}(\mathbb{R}^2)$
and the Leray-Hopf weak solution in $L^2(\mathbb{R}^2)$ is proved.

7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci