CONTINUOUS DEPENDENCE RESULTS FOR A PROBLEM IN PENETRATIVE CONVECTION

Authors
AMES KA PAYNE LE
Citation
Ka. Ames et Le. Payne, CONTINUOUS DEPENDENCE RESULTS FOR A PROBLEM IN PENETRATIVE CONVECTION, Quarterly of applied mathematics, 55(4), 1997, pp. 769-790
Citations number
12
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
55
Issue
4
Year of publication
1997
Pages
769 - 790
Database
ISI
SICI code
0033-569X(1997)55:4<769:CDRFAP>2.0.ZU;2-I
Abstract
Continuous dependence inequalities are derived for a system of equatio ns that models penetrative convection in a thermally conducting viscou s fluid with a linear buoyancy law. Both the forward-in-time problem a nd the improperly posed backward-in-time problem are analyzed, These r esults indicate that solutions depend continuously on a parameter in t he boundary data.