EXISTENCE OF A SOLUTION IN AN AGE-DEPENDENT TRANSPORT-DIFFUSION PDE: A MODEL OF SETTLER-Reference-Cited by-同舟云学术

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

Published:1995-05 Issue:03 Volume:05 Page:267-278
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

CHANCELIER J. PH.¹,LARA M. COHEN DE¹,PACARD F.¹

Affiliation:

1. Cergrene, ENPC, La Courtine, 93167 Noisy le Grand Cédex, France

Abstract

The modeling of sludge particles settling in the final stage of a waste 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 differential equation (PDE) with nonlocal condition. We investigate the question of existence of a solution.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000176

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