Some existence results for the Navier-Stokes equation driven by heat conduction

• Main Authors: Bjorn Birnir, Nils Svanstedt
• Other Authors: The Pennsylvania State University CiteSeerX Archives
• Format: Text
• Language: English
• Subjects: Chalmers; Iceland
• Online Access: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.240; http://www.math.ucsb.edu/~birnir/papers/rb.ps

The Navier-Stokes equation driven by heat conduction is studied. As a prototype we consider Rayleigh-B'enard convection, in the Boussinesq approximation. Under a large aspect ratio assumption, which is the case in Rayleigh-B'enard experiments with Prandtl numer close to one, we prove the e...