Full paper in PDF:
$% M. Bendahmane and M. Saad, Entropy solution for anisotropic reaction-diffusion-advection systems with L¹ data, Rev. Mat. Complut. 18 (2005), no. 1, 49–67.%$

Entropy Solution for Anisotropic Reaction-Diffusion-Advection Systems with L¹ Data

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.

Key words: entropy solutions, uniqueness, anisotropic parabolic equations.
2000 Mathematics Subject Classification: 35K57, 35K55, 92D30.