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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

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