= Clean-sheet long-wave rupture plateau
{title2=$\lim_{k\to0,\ k\ne0}s=3V/(4\mu h_0^3)$}
A sheet with stress-free surfaces supports nearly uniform cross-thickness extensional motion. Its diverging long-wave mobility compensates the weak <pressure gradient>, leaving the nonzero rate limit in the creeping-flow model. The exactly uniform thickness change is excluded at fixed <volume>, and unsteady inertia or finite domain size can regularize the limiting prediction. Strong surfactant immobilization instead makes the rate vanish quadratically with wave number.
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