Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
Hele-Shaw Flows: Historical Overview
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The proof of local existence<br />
The most important Kufarev’s contribution was the first<br />
proof of the existence and uniqueness of the<br />
Polubarinova-Galin equation (joint work with Kufarev’s<br />
student Vinogradov):<br />
• Yu. P. Vinogradov, P. P. Kufarev: On a problem of<br />
filtration. Appl. Math. Mech. [Akad. Nauk SSSR. Prikl. Mat.<br />
Mech.] 12, (1948), 181–198.<br />
The modern proof was given only in 1993 by M. Reissig<br />
and L. von Wolfersdorf<br />
BIRS, Canada, July 2007 – p. 52