Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blowup for the Damped $L^{2}$-Critical Nonlinear Schr\"odinger Equation   We consider the Cauchy problem for the $L^{2}$-critical damped nonlinear
Schr\"odinger equation. We prove existence and stability of finite time blowup
dynamics with the log-log blow-up speed for $\|\nabla u(t)\|_{L^2}$.

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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat
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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: adap-org
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The categories of this paper are: chao-dyn