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Bifurcation phenomena in a free boundary problem for a circulating flow with surface tension
Author(s) -
Okamoto Hisashi,
Fujita H.
Publication year - 1984
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670060115
Subject(s) - mathematics , flow (mathematics) , bifurcation , boundary (topology) , bifurcation theory , surface tension , free surface , mathematical analysis , surface (topology) , calculus (dental) , geometry , mechanics , nonlinear system , medicine , physics , dentistry , quantum mechanics
Abstract A free boundary problem for a flow around a circle is analyzed. We find and mathematically prove that bifurcations from the trivial flow actually take place. Golubitsky‐Schaeffer theory, together with a formula concerning variations of domains, enables us to clarify the behaviors of the branches of nontrivial solutions.