Cosymmetry, degeneration of solutions of operator equations, and origin of a filtration convection. (English. Russian original) Zbl 0747.47010

Math. Notes 49, No. 5, 540-545 (1991); translation from Mat. Zametki 49, No. 5, 142-148 (1991).
The cosymmetry and degeneration properties of solutions of operator equations, origin of filtration convection is investigated. There is proved that noncosymmetric solutions in general creates oneparametric systems. The Euler bifurcation of the trivial cosymmetric solution of the equation with real parameter and related oneparametric system is also investigated.


47A50 Equations and inequalities involving linear operators, with vector unknowns
76A02 Foundations of fluid mechanics
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