Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational Approach to Homogenization of Doubly-Nonlinear Flow in a
  Periodic Structure   This work deals with the homogenization of an initial- and boundary-value
problem for the doubly-nonlinear system $$ D_t w -\nabla\cdot \vec z =
\nabla\cdot \vec h(x,t,x/\varepsilon), \qquad w\in \alpha(u,x/\varepsilon),
\qquad \vec z\in \vec\gamma(\nabla u,x/\varepsilon). $$ Here $\varepsilon$ is a
positive parameter, and the prescribed mappings $\alpha$ and $\vec\gamma$ are
maximal monotone with respect to the first variable and periodic with respect
to the second one.
  The two inclusions are here formulated as null-minimization principles, via
the theory of Fitzpatrick [MR 1009594]. As $\varepsilon\to 0$, a two-scale
formulation is derived via Nguetseng's notion of two-scale convergence, and a
(single-scale) homogenized problem is then retrieved.

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The categories of this paper are: physics
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc