Global existence of solutions for a strongly coupled population system

Gonzalo Galiano, and Ansgar Jüngel. "Global existence of solutions for a strongly coupled population system." Banach Center Publications 63.1 (2003): 209-216. <http://eudml.org/doc/282262>.

@article{GonzaloGaliano2003,
abstract = {A strongly coupled cross-diffusion model for two competing species in a heterogeneous environment is analyzed. We sketch the proof of an existence result for the evolution problem with non-flux boundary conditions in one space dimension, completing previous results [4]. The proof is based on a symmetrization of the problem via an exponential transformation of variables and the use of an entropy functional.},
author = {Gonzalo Galiano, Ansgar Jüngel},
journal = {Banach Center Publications},
keywords = {cross-diffusion model; exponential transformation; entropy functional; non-flux boundary conditions; one space dimension},
language = {eng},
number = {1},
pages = {209-216},
title = {Global existence of solutions for a strongly coupled population system},
url = {http://eudml.org/doc/282262},
volume = {63},
year = {2003},
}

TY - JOUR
AU - Gonzalo Galiano
AU - Ansgar Jüngel
TI - Global existence of solutions for a strongly coupled population system
JO - Banach Center Publications
PY - 2003
VL - 63
IS - 1
SP - 209
EP - 216
AB - A strongly coupled cross-diffusion model for two competing species in a heterogeneous environment is analyzed. We sketch the proof of an existence result for the evolution problem with non-flux boundary conditions in one space dimension, completing previous results [4]. The proof is based on a symmetrization of the problem via an exponential transformation of variables and the use of an entropy functional.
LA - eng
KW - cross-diffusion model; exponential transformation; entropy functional; non-flux boundary conditions; one space dimension
UR - http://eudml.org/doc/282262
ER -