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- Title
On Stability of Solutions to Equations Describing Incompressible Heat-Conducting Motions Under Navier's Boundary Conditions.
- Authors
Zadrzyńska, Ewa; Zaja̧czkowski, Wojciech
- Abstract
In this paper we prove existence of global strong-weak two-dimensional solutions to the Navier-Stokes and heat equations coupled by the external force dependent on temperature and the heat dissipation, respectively. The existence is proved in a bounded domain with the Navier boundary conditions for velocity and the Dirichlet boundary condition for temperature. Next, we prove existence of 3d global strong solutions via stability.
- Subjects
EXISTENCE theorems; HEAT conduction; BOUNDARY value problems; NAVIER-Stokes equations; DIRICHLET problem
- Publication
Acta Applicandae Mathematicae, 2017, Vol 152, Issue 1, p147
- ISSN
0167-8019
- Publication type
Article
- DOI
10.1007/s10440-017-0116-3