Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonlinear Stokes-Biot model for the interaction of a non-Newtonian
  fluid with poroelastic media   We develop and analyze a model for the interaction of a quasi-Newtonian free
fluid with a poroelastic medium. The flow in the fluid region is described by
the nonlinear Stokes equations and in the poroelastic medium by the nonlinear
quasi-static Biot model. Equilibrium and kinematic conditions are imposed on
the interface. We establish existence and uniqueness of a solution to the weak
formulation and its semidiscrete continuous-in-time finite element
approximation. We present error analysis, complemented by numerical
experiments.

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The categories of this paper are: quant-ph
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The categories of this paper are: econ
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th