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Large-time rescaling behaviours of Stokes and Hele-Shaw flows driven by injection

Published online by Cambridge University Press:  02 December 2010

Y. L. LIN
Y. L. LIN*
Affiliation:
Institute of Mathematics, Academia Sinica, Taipei 10617, R.O.C., Taiwan email: yulin@math.sinica.edu.tw
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Abstract

In this paper, we give a precise description of the rescaling behaviours of global strong polynomial solutions to the reformulation of zero surface tension Hele-Shaw problem driven by injection, the Polubarinova-Galin equation, in terms of Richardson complex moments. From past results, we know that this set of solutions is large. This method can also be applied to zero surface tension Stokes flow driven by injection and a rescaling behaviour is given in terms of many conserved quantities as well.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 22 , Issue 1 , February 2011 , pp. 7 - 19
Copyright
Copyright © Cambridge University Press 2010

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References

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