Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local existence of strong solutions to micro-macro models for reactive
  transport in evolving porous media   Two-scale models pose a promising approach in simulating reactive flow and
transport in evolving porous media. Classically, homogenized flow and transport
equations are solved on the macroscopic scale, while effective parameters are
obtained from auxiliary cell problems on possibly evolving reference geometries
(micro-scale). Despite their perspective success in rendering lab/field-scale
simulations computationally feasible, analytic results regarding the arising
two-scale bilaterally coupled system often restrict to simplified models. In
this paper, we first derive smooth-dependence results concerning the partial
coupling from the underlying geometry to macroscopic quantities. Therefore,
alterations of the representative fluid domain are described by smooth paths of
diffeomorphisms. Exploiting the gained regularity of the effective space- and
time-dependent macroscopic coefficients, we present local-in-time existence
results for strong solutions to the partially coupled micro-macro system using
fixed-point arguments. What is more, we extend our results to the bilaterally
coupled diffusive transport model including a level-set description of the
evolving geometry.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
1
The categories of this paper are: cs