Search results for: FREDHOLM MAP

• Symmetry-Breaking Bifurcation for Free Elastic Shell of Biological Cluster, Part 2

  Publication

  • H. Guze
  • J. Janczewska

  - Milan Journal of Mathematics - Year 2014

  We will be concerned with a two-dimensional mathematical model for a free elastic shell of biological cluster. The cluster boundary is connected with its kernel by elastic links. The inside part is filled with compressed gas or fluid. Equilibrium forms of the shell of biological cluster may be found as solutions of a certain nonlinear functional-differential equation with several physical parameters. For each multiparameter this...

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• Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry

  Publication

  • J. Janczewska
  • A. Zgorzelska

  - NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS - Year 2021

  We will be concerned with the problem of deformation of the lateral surface of a column that rotates with constant speed around its axis of symmetry. The column is filled by a gas and our goal is to investigate the deformation of the lateral surface depending on the pressure of the gas.

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