Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global strong solutions and optimal $L^2$ decay to the compressible FENE
  dumbbell model   In this paper, we are concerned with the global well-posedness and $L^2$
decay rate for the strong solutions of the compressible finite extensible
nonlinear elastic (FENE) dumbbell model. For $d\geq 2$, we prove that the
compressible FENE dumbbell model admits a unique global strong solution
provided the initial data are close to equilibrium state. Moreover, by the
Littlewood-Paley decomposition theory and the Fourier splitting method, we show
optimal $L^2$ decay rate of global strong solutions for $d\geq 3$.

33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con