On the Stability of the Laminar Flow of a Viscous Fluid
نویسندگان
چکیده
If an algebraic surface F of order J > ^ 4 has a double line (either nodal or cuspidal), the anomaly A of the plane sections C of a tangent cone to F is A = (1/6) v(v — 4) (v — 5). As is evident from this expression for A, plane curve systems C associated with a surface having a double line are anomalous only for v^6. When z> = 3, the above formula yields A = l. However, a cubic surface with a nodal line is ruled, and a cubic surface with a cuspidal line is a cone. The treatment given in the two preceding sections and the resulting expression for A do not apply to such surfaces.
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