Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the strong convergence of the Faedo-Galerkin approximations to a
  strong T-periodic solution of the torso-coupled bi-domain model   In this paper, we investigate the convergence of the Faedo-Galerkin
approximations, in a strong sense, to a strong T-periodic solution of the
torso-coupled bidomain model where $T$ is the period of activation of the inner
wall of heart. First, we define the torso-coupled bi-domain operator and prove
some of its more important properties for our work. After, we define the
abstract evolution system of equations associated with torso-coupled bidomain
model and give the definition of strong solution. We prove that the
Faedo-Galerkin's approximations have the regularity of a strong solution, and
we find that some restrictions can be imposed over the initial conditions, so
that this sequence of Faedo-Galerkin fully converge to a global strong solution
of the Cauchy problem. Finally, this results are used for showing the existence
a strong $T$-periodic solution.

3
The categories of this paper are: physics
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex