EXISTENCE OF A SOLUTION IN AN AGE-DEPENDENT TRANSPORT-DIFFUSION PDE -A MODEL OF SETTLER

Authors
CHANCELIER JP DELARA MC PACARD F
Citation
Jp. Chancelier et al., EXISTENCE OF A SOLUTION IN AN AGE-DEPENDENT TRANSPORT-DIFFUSION PDE -A MODEL OF SETTLER, Mathematical models and methods in applied sciences, 5(3), 1995, pp. 267-278
Citations number
5
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
5
Issue
3
Year of publication
1995
Pages
267 - 278
Database
ISI
SICI code
0218-2025(1995)5:3<267:EOASIA>2.0.ZU;2-O
Abstract
The modeling of sludge particles settling in the final stage of a wast e water treatment plant may include both transport and diffusion. When the residence time of sludge particles in the settler is considered, this leads to a nonlinear age-dependent transport-diffusion partial di fferential equation (PDE) with nonlocal condition. We investigate the question of existence of a solution.