Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How does the spreading speed associated with the Fisher-KPP equation
  depend on random stationary diffusion and reaction terms?   We consider one-dimensional reaction-diffusion equations of Fisher-KPP type
with random stationary ergodic coefficients. A classical result of Freidlin and
Gartner [16] yields that the solutions of the initial value problems associated
with compactly supported initial data admit a linear spreading speed almost
surely. We use in this paper a new characterization of this spreading speed
recently proved in [8] in order to investigate the dependence of this speed
with respect to the heterogeneity of the diffusion and reaction terms. We prove
in particular that adding a reaction term with null average or rescaling the
coefficients by the change of variables x $\rightarrow$ x/L, with L
\textgreater{} 1, speeds up the propagation. From a modelling point of view,
these results mean that adding some heterogeneity in the medium gives a higher
invasion speed, while fragmentation of the medium slows down the invasion.

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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn