A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and
heuristic ideas are used to motivate the results wherever possible. The fronts include
constant-speed monotone traveling fronts in homogeneous media, periodically varying trav-
eling fronts in periodic media, and fluctuating and fractal fronts in random media. These
fronts arise in a wide range of applications such as chemical kinetics, combustion, biology,
transport in porous media, and industrial deposition processes. Open problems are briefly
discussed along the way.
%0 Journal Article
%1 xin2000front
%A Xin, Jack
%D 2000
%J SIAM Review
%K Fisher-KPP combustion fractal_landscape heterogeneous_environment reaction-diffusion review spatial_structure travelling_wave
%N 2
%P 161-230
%R 10.1137/S0036144599364296
%T Front Propagation in Heterogeneous Media
%U /brokenurl# http://dx.doi.org/10.1137/S0036144599364296
%V 42
%X A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and
heuristic ideas are used to motivate the results wherever possible. The fronts include
constant-speed monotone traveling fronts in homogeneous media, periodically varying trav-
eling fronts in periodic media, and fluctuating and fractal fronts in random media. These
fronts arise in a wide range of applications such as chemical kinetics, combustion, biology,
transport in porous media, and industrial deposition processes. Open problems are briefly
discussed along the way.
@article{xin2000front,
abstract = {A review is presented of recent results on front propagation in reaction-diffusion-advection
equations in homogeneous and heterogeneous media. Formal asymptotic expansions and
heuristic ideas are used to motivate the results wherever possible. The fronts include
constant-speed monotone traveling fronts in homogeneous media, periodically varying trav-
eling fronts in periodic media, and fluctuating and fractal fronts in random media. These
fronts arise in a wide range of applications such as chemical kinetics, combustion, biology,
transport in porous media, and industrial deposition processes. Open problems are briefly
discussed along the way.},
added-at = {2015-07-23T00:25:53.000+0200},
author = {Xin, Jack},
biburl = {https://www.bibsonomy.org/bibtex/23c62dcdb381c353d18fd13d7bc07b2cb/peter.ralph},
doi = {10.1137/S0036144599364296},
eprint = {http://dx.doi.org/10.1137/S0036144599364296},
interhash = {c2f1c32b4d9a4b5acb8d40ec6247b760},
intrahash = {3c62dcdb381c353d18fd13d7bc07b2cb},
journal = {SIAM Review},
keywords = {Fisher-KPP combustion fractal_landscape heterogeneous_environment reaction-diffusion review spatial_structure travelling_wave},
number = 2,
pages = {161-230},
timestamp = {2015-07-23T00:25:53.000+0200},
title = {Front Propagation in Heterogeneous Media},
url = {/brokenurl# http://dx.doi.org/10.1137/S0036144599364296 },
volume = 42,
year = 2000
}