Long time existence of solutions to 2D Navier-Stokes equations with inflow-outflow and heat convection
KeywordsNavier-Stokes equations, heat convection, slip boundary condition, Neumann condition, global existence, Leray-Schauder fixed point theorem
AbstractGlobal existence of regular solutions to the Navier-Stokes equations for velocity and pressure coupled with the heat convection equation for temperature in cylindrical pipe with inflow and outflow in the two-dimensional case is shown. We assume the slip boundary conditions for velocity and the Neumann condition for temperature. First an appropriate estimate is shown and next the existence of solutions is proved by the Leray-Schauder fixed point theorem.
How to Cite
KACPRZYK, Piotr. Long time existence of solutions to 2D Navier-Stokes equations with inflow-outflow and heat convection. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 37, no. 2, pp. 343 - 355. [Accessed 30 September 2023].
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