Eigenvalues of the Orr - Sommerfeld Equation
نویسنده
چکیده
A very simple proof is presented of the fact that the Orr-Sommerfeld equation for flows that approach exponentially to a constant at infinity has at most finitely many eigenvalues. A completely elementary argument shows that the Orr-Sommerfeld equation for such flows has no eigenvalues when the product of the Reynolds number and the wave number is small enough.
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