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@PHDTHESIS{Heine:59221,
      author       = {Heine, Claus-Justus},
      othercontributors = {Bemelmans, Josef},
      title        = {{C}omputations of form and stability of rotating drops with
                      finite elements},
      address      = {Aachen},
      publisher    = {Publikationsserver der RWTH Aachen University},
      reportid     = {RWTH-CONV-121026},
      pages        = {XI, 120 S. : Ill., graph. Darst.},
      year         = {2003},
      note         = {Aachen, Techn. Hochsch., Diss., 2003},
      abstract     = {We consider the problem of a drop rotating rigidly at a
                      fixed angular velocity. The centrifugal forces are balanced
                      by the surface tension alone. The volume of the drop is a
                      prescribed constant. Subject of this work is the numerical
                      computation of families of such equilibrium shapes and of
                      their bifurcation behaviour. The bifurcation parameter is
                      the angular velocity. This problem has been treated
                      numerically by R.A. Brown and L.E. Scriven in 1980. We
                      present an algorithm which avoids an explicit global
                      parametrisation of the drop surface and which does not need
                      artificial conjectures about the symmetry of the drops. We
                      use ideas introduced by G. Dziuk for computing evolutionary
                      surfaces. The results of our numerical experiments extend
                      the results formerly found by Brown and Scriven and reveal
                      several new branches of spheroidal drop shapes. Furthermore,
                      drop shapes of annular type have been computed, branching
                      from an axisymmetric family of tori which was found by R.
                      Gulliver in 1984.},
      keywords     = {Tropfen (SWD) / Gleichgewichtsfigur rotierender
                      Flüssigkeiten (SWD) / Finite-Elemente-Methode (SWD)},
      cin          = {100000},
      ddc          = {530},
      cid          = {$I:(DE-82)100000_20140620$},
      typ          = {PUB:(DE-HGF)11},
      urn          = {urn:nbn:de:hbz:82-opus-7230},
      url          = {https://publications.rwth-aachen.de/record/59221},
}