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cond-mat.soft2004
Stationary finger solutions in the Hele-Shaw cell
G. Ka"lbermann, R. Wallach
We solve numerically the nonlinear differential equation for the Hele-Shaw, Saffman-Taylor problem derived in the preceding work. Stationary solutions with no free phenomenological…
cond-mat.soft2004
A differential equation for the Saffman-Taylor finger
G. Ka"lbermann
We develop a stream function approach for the horizontal Hele-Shaw, Saffman-Taylor finger. The model yields a nonlinear time-dependent differential equation. The finger widths deri…