Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Front propagation in three-dimensional corrugated reaction-diffusion
  media   Propagation of traveling fronts in three-dimensional reaction-diffusion media
with spatially modulated cross-section is studied using the Schl\"ogl model as
a representative example. Applying appropriate perturbation techniques leads
first to a reduction of dimensionality in which the spatially dependent Neumann
boundary condition translate into a boundary-induced advection term and,
secondly, to an equation of motion for the traveling wave position in weakly
corrugated confinements. Comparisons with numerical simulations demonstrate
that our analytical results properly predicts the nonlinear dependence of the
propagation velocity on ratio of the spatial period of the confinement to the
intrinsic width of the front; including the peculiarity of propagation failure.
Based on the eikonal equation, we obtain an analytical estimate for the finite
interval of propagation failure. Lastly, we demonstrate that the front velocity
is determined by the suppressed diffusivity of the reactants if the intrinsic
width of the front is much larger than the spatial variation of the medium.

36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph