In this paper, we study the question of existence and uniqueness of entropy solutions for a system of nonlinear partial differential equations with general anisotropic diffusivity and transport effects, supplemented with no-flux boundary conditions, modeling the spread of an epidemic disease through a heterogeneous habitat.
@article{urn:eudml:doc:38157,
title = {Entropy solution for anisotropic reaction-diffusion-advection systems with L1 data.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {18},
year = {2005},
pages = {49-67},
zbl = {1065.35129},
mrnumber = {MR2135531},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:38157}
}
Bendahmane, Mostafa; Saad, Mazen. Entropy solution for anisotropic reaction-diffusion-advection systems with L1 data.. Revista Matemática de la Universidad Complutense de Madrid, Tome 18 (2005) pp. 49-67. http://gdmltest.u-ga.fr/item/urn:eudml:doc:38157/