ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS-MEDIUM

Authors
AMES KA PAYNE LE
Citation
Ka. Ames et Le. Payne, ON STABILIZING AGAINST MODELING ERRORS IN A PENETRATIVE CONVECTION PROBLEM FOR A POROUS-MEDIUM, Mathematical models and methods in applied sciences, 4(5), 1994, pp. 733-740
Citations number
13
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
4
Issue
5
Year of publication
1994
Pages
733 - 740
Database
ISI
SICI code
0218-2025(1994)4:5<733:OSAMEI>2.0.ZU;2-8
Abstract
Continuous dependence on modeling results are derived for an ill-posed problem describing penetrative convection in a porous medium. Using a logarithmic convexity argument, we show that solutions to the governi ng equations backward in time depend Holder continuously on changes in the form of the buoyancy law provided they satisfy certain constraint s.