Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419255 | Journal of Mathematical Analysis and Applications | 2012 | 12 Pages |
Abstract
We consider a coupled model for steady flows of viscous incompressible heat-conducting fluids with temperature dependent material coefficients in a fixed three-dimensional open cylindrical channel. We introduce the Banach spaces X and Y to be the space of possible solutions of this problem and the space of its data, respectively. We show that the corresponding operator of the problem acting between X and Y is Fréchet differentiable. Applying the local diffeomorphism theorem we get the local solvability results for a variational formulation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michal BeneÅ¡, Petr KuÄera,