Steady convection in porous media. III. The structure of the solutions
[For the former parts see the reviews above (Zbl 0579.76090 and Zbl 0579.76091).] In this work it is proved that the set of solutions is homeomorphic to a compact set of \({\mathbb{R}}^ m\) (m sufficiently large), emphasizing the leading part of the temperature for this problem. Also it is shown that for ''almost all'' data the set of solutions is finite, while the continuum of solutions (with respect to the Rayleigh number) is a one-dimensional manifold of class \(C^ 1\).
scientific article; zbMATH DE number 3928616