Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolic traveling waves driven by growth   We perform the analysis of a hyperbolic model which is the analog of the
Fisher-KPP equation. This model accounts for particles that move at maximal
speed $\epsilon^{-1}$ ($\epsilon\textgreater{}0$), and proliferate according to
a reaction term of monostable type. We study the existence and stability of
traveling fronts. We exhibit a transition depending on the parameter
$\epsilon$: for small $\epsilon$ the behaviour is essentially the same as for
the diffusive Fisher-KPP equation. However, for large $\epsilon$ the traveling
front with minimal speed is discontinuous and travels at the maximal speed
$\epsilon^{-1}$. The traveling fronts with minimal speed are linearly stable in
weighted $L^2$ spaces. We also prove local nonlinear stability of the traveling
front with minimal speed when $\epsilon$ is smaller than the transition
parameter.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess