Attractors–Repellers in the Space of Contours in the Stokes–Leibenson Problem for Hele–Shaw Flows

Attractors–Repellers in the Space of Contours in the Stokes–Leibenson Problem for Hele–Shaw Flows

It is shown that, in the space of quasicontours playing a role of free boundaries in the Stokes–Leibenson problem, there is a manifold of codimension 1 such that some points of this manifold are attractors in the case of sink and repellers in the case of source, whereas, on the contrary, other point...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-03, Vol.189 (4), p.568-581
Hauptverfasser: Demidov, A. S., Loheac, J.-P., Runge, V.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:It is shown that, in the space of quasicontours playing a role of free boundaries in the Stokes–Leibenson problem, there is a manifold of codimension 1 such that some points of this manifold are attractors in the case of sink and repellers in the case of source, whereas, on the contrary, other points are repellers in the case of sink and attractor in the case of source. Bibliography: 36 titles. Illustrations: 7 figures.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1208-x