ON COUPLED SYSTEM OF NAVIER-STOKES EQUATIONS AND TEMPERATURE IN INFINITE CHANNEL

  • P. Anthony Department of Mathematics, Kaduna State University, Kaduna.

Abstract

This paper deals with the coupled system of Navier-Stokes equations and temperature (Thermohydraulics) in a strip in the class of spatially non-decaying (infinite-energy) solutions belonging to the properly chosen uniformly local Sobolev spaces. The global well-posedness and dissipativity of the Navier-Stokes equations in a strip in such spaces has been established in Zelik (2007). Similar protocol is observed using maximum principle to obtain bounds for the temperature solutions in Boussinesq approximation.  

Published
2016-07-17
Section
ARTICLES