Global Solvability of Navier-Stokes Equations with Temperature in Infinite Channel
1 Department of Mathematics, Kaduna State University, Kaduna, Nigeria
2 Department of Physics, Kaduna State University, Kaduna, Nigeria
* Corresponding author: p.anthony@kasu.edu.ng
2 Department of Physics, Kaduna State University, Kaduna, Nigeria
* Corresponding author: p.anthony@kasu.edu.ng
Abstract
This paper determines the global, in time, solvability ofNavier-Stokes equation coupled with temperature in a Poincare-like unbounded domain. Existence, uniqueness and furtherregularity of solutions were obtained for the full Bousinesqsystem in uniformly local spaces. We have used themaximum principle for temperature to establish the cardinalproperties of this illusive phenomena of turbulence.
Keywords
Navier-Stokes equations
Bousinesq system
Uniformly local spaces
Maximum principles
How to Cite
Anthony, P., Isaac, D. H., Abubakar, S. M., & Philibus, M. G. (2019). Global Solvability of Navier-Stokes Equations with Temperature in Infinite Channel. Nigerian Journal of Mathematics and Applications, 29(2), 1-17.
P. Anthony, D. H. Isaac, S. M. Abubakar, and M. G. Philibus, "Global Solvability of Navier-Stokes Equations with Temperature in Infinite Channel," Nigerian Journal of Mathematics and Applications, vol. 29, no. 2, pp. 1-17, December 2019.
