Continuous dependence on the viscostiy for the oberbeck-boussinesq equations

Abstract

BY using a logarithmic convexity argument based on an “energy” it is shown that the solution to the boundary-initial value porblem for a heat-conducting viscous fluid depends continuously on the viscosity. Both the forward in time and improperly posed backward in time problems are dealt with, the latter necessitating the use of a more complex energy than the former.

Keywords:

• Viscosity
• Continuous dependence
• Improperly posed problems