Jump to ContentJump to Main Navigation
The Porous Medium EquationMathematical Theory$
Users without a subscription are not able to see the full content.

Juan Luis Vazquez

Print publication date: 2006

Print ISBN-13: 9780198569039

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198569039.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (oxford.universitypressscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 04 December 2020



The Porous Medium Equation

Juan Luis Vázquez

Oxford University Press

This chapter reviews the main applications of the porous medium equation (PME). Section 2.1 describes the standard model of gas flow through a porous medium (Darcy-Leibenzon-Muskat). Section 2.2 describes the model of nonlinear heat transfer (Zel'dovich-Raizer). Section 2.3 describes Boussinesq's model of groundwater flow, and Section 2.4 presents a model of population dynamics (Gurtin-McCamy).

Keywords:   PME, gas flow, nonlinear heat transfer, Boussinesq's equation of groundwater flow, population dynamics

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .