Abstract
The neutral stability equation F(k, R)=0 for the Planar Bénard Problem with non-slip boundary conditions is studied. It is proven that there is a pair (k ∗, R ∗) in the domain of F for which F(k ∗, R ∗)=0 , such that if (k, R)≠(k ∗, R ∗) is also in the domain and satisfies F(k, R)=0 then R>R ∗ . Approximations to k ∗ and R ∗ of guaranteed accuracy are given.
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