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Σ λ is homeomorphic to S 1 and consists of exactly one cycle of steady solutions of (1.1). .
Rayleigh Bénard convection is an instability problem with multiple steady solutions and bifurcations by varying the Rayleigh number.
The steady solutions are obtained by solving Reynolds-Averaged-Navier-Stokes equations with a finite volume method.
Additionally, large amplitude oscillations, originating in Hopf bifurcations from steady solutions, are found, again consistent with previous observations.
We try to stabilize steady solutions of a physical model described by wave equations with nonlinear boundary conditions.
The existence of multiple steady solutions in cases of the low Lewis number is demonstrated.
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Then there is a steady solution A ( s ) to (1).
We prove that this system possesses time dependent periodic solutions, bifurcating from a steady solution.
We show that this system possesses time-periodic solutions bifurcating from a steady solution.
Figure 8 shows how a change in the vent pressure alters the steady solution curve.
This is a steady solution, and, hence, no solution shift occurs as long as the boundary conditions stay unchanged.
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