Stability and Newton's law of cooling in double diffusive flow

Citation
Ka. Ames et B. Straughan, Stability and Newton's law of cooling in double diffusive flow, J MATH ANAL, 230(1), 1999, pp. 57-69
Citations number
28
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
230
Issue
1
Year of publication
1999
Pages
57 - 69
Database
ISI
SICI code
0022-247X(19990201)230:1<57:SANLOC>2.0.ZU;2-B
Abstract
We study the system of equations for flow of a viscous heat conducting flui d which has dissolved in a salt field. Under the approximation, often emplo yed in the fluid dynamical literature, that the Prandtl number be infinite, we develop a priori bounds and we show the solution depends continuously o n changes in the Newton cooling coefficient. (C) 1999 Academic Press.