Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global well-posedness and inviscid limits of the generalized Oldroyd
  type models   We obtain the global small solutions to the generalized Oldroyd-B model
without damping on the stress tensor in $\mathbb{R}^n$. Our result give
positive answers partially to the question proposed by Elgindi and Liu (Remark
2 in Elgindi and Liu [J Differ Equ 259:1958--1966, 2015)]. The proof relies
heavily on the trick of transferring dissipation from $u$ to $\tau$, and a new
commutator estimate which may be of interest for future works. Moreover, we
prove a global result of inviscid limit of two dimensional Oldroyd type models
in the Sobolev spaces. The convergence rate is also obtained simultaneously.

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The categories of this paper are: nlin
16
The categories of this paper are: stat
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The categories of this paper are: econ
14
The categories of this paper are: math-ph
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The categories of this paper are: eess
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph