Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On a $q-$analog of a singularly perturbed problem of irregular type with
  two complex time variables   Analytic solutions and their formal asymptotic expansions for a family of the
singularly perturbed $q-$difference-differential equations in the complex
domain are constructed. They stand for a $q-$analog of the singularly perturbed
partial differential equations considered in our recent work [A. Lastra, S.
Malek, Boundary layer expansions for initial value problems with two complex
time variables, submitted 2019]. In the present work, we construct outer and
inner analytic solutions of the main equation, each of them showing asymptotic
expansions of essentially different nature with respect to the perturbation
parameter. The appearance of the $-1$-branch of Lambert $W$ function will be
crucial in this respect.

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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph