Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
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Richardson’s Moments<br />
Ω(t) ⊂ Ω(s) for 0 < t < s < t0, and<br />
Mn(t) =<br />
He proved that<br />
<br />
Ω(t)<br />
z n dxdy =<br />
<br />
M0(t) = M0(0) − Qt,<br />
U<br />
f n (ζ,t)|f ′ (ζ,t)| 2 dξdη,<br />
Mn(t) = Mn(0), for n ≥ 1.<br />
Connections with the inverse problem of Potential Theory.<br />
Future connections with integrable systems.<br />
BIRS, Canada, July 2007 – p. 74