Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness and discrete analysis for advection-diffusion-reaction in
  poroelastic media   We analyse a PDE system modelling poromechanical processes (formulated in
mixed form using the solid deformation, fluid pressure, and total pressure)
interacting with diffusing and reacting solutes in the medium. We investigate
the well-posedness of the nonlinear set of equations using fixed-point theory,
Fredholm's alternative, a priori estimates, and compactness arguments. We also
propose a mixed finite element method and rigorously demonstrate the stability
of the scheme. Error estimates are derived in suitable norms, and numerical
experiments are conducted to illustrate the mechano-chemical coupling and to
verify the theoretical rates of convergence.

35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ