Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Hele-Shaw flow   In this note, we discuss the quantum Hele-Shaw flow, a random measure process
in the complex plane introduced by the physicists P.Wiegmann, A. Zabrodin, et
al. This process arises in the theory of electronic droplets confined to a
plane under a strong magnetic field, as well as in the theory of random normal
matrices. We extend a result of Elbau and Felder to general external field
potentials, and also show that if the potential is $C^2$-smooth, then the
quantum Hele-Shaw flow converges, under appropriate scaling, to the classical
(weighted) Hele-Shaw flow, which can be modeled in terms of an obstacle
problem.

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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: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: physics