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Abstract
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 equation has a radially symmetric solution. Our goal is to study the bifurcation which breaks symmetry. In order to establish critical values of bifurcation parameter and buckling modes we will investigate an appropriate linear problem. Our main result on the existence of symmetry-breaking bifurcation will be proved by the use of a variational version of the Crandall-Rabinowitz theorem.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
Milan Journal of Mathematics
no. 82,
edition 2,
pages 331 - 342,
ISSN: 1424-9286 - Language:
- English
- Publication year:
- 2014
- Bibliographic description:
- Guze H., Janczewska J.: Symmetry-Breaking Bifurcation for Free Elastic Shell of Biological Cluster, Part 2// Milan Journal of Mathematics. -Vol. 82, iss. 2 (2014), s.331-342
- Verified by:
- Gdańsk University of Technology
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