Abstract
We analyze a general class of coupled systems of stationary Navier-Stokes type equations with variable coefficients and non-homogeneous terms of reaction type in the incompressible case. Existence of solutions satisfying the homogeneous Dirichlet condition in a bounded domain in \({R^N}\), \({N≤3}\), the corresponding kinetic energy and enstrophy are obtained by using a variational approach and the fixed point index theory.
Authors
Mirela Kohr
Faculty of Mathematics and Computer Science, Babeş–Bolyai University, Cluj-Napoca, Romania
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy
Keywords
Navier–Stokes equations; multidisperse porous media; fixed point index
Paper coordinates
M. Kohr, R. Precup, Localization of energies in Navier–Stokes models with reaction terms, Analysis and Applications, 22 (2024) no. 6, pp. 1053-1073, https://doi.org/10.1142/S0219530524500118
About this paper
Journal
Analysis and Applications
Publisher Name
World Scientific
Print ISSN
0219-5305
Online ISSN
1793-6861
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