Electronic Journal of Differential Equations,
Vol. 2004(2004), No. 140, pp. 1-10.

Title: A linear model for the dynamics of fish larvae

Authors: Noureddine Ghouali (Univ. of Tlemcen, Algeria)
         Tarik Mohamed Touaoula (Univ. of Tlemcen, Algeria)

Abstract: 
 We consider a linear model for the growth and the dispersion
 of fish larvae of certain species. Dispersion is modeled as
 entailed by the combination of transport and vertical diffusion.
 We generalize the work of Boushaba, Arino and Boussouar
 [5,6] in the sense that horizontal  velocities are uniform 
 throughout the water column;  but we deal with vertical 
 component velocity and vertical diffusion  depending on 
 the space variables and on time, which was not the
 case in [5,6]. This new vision leads us to non-autonomous 
 problems, the aim of this work is to show  the existence, 
 uniqueness, and positivity of solutions.

Submitted July 10, 2004. Published November 26, 2004.
Math Subject Classifications: 35G10.
Key Words: Parabolic equations; characteristic curve; 
           dynamics of the fish larvae.