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BIFURCATION OF THE EQUIVARIANT MINIMAL INTERFACES IN A HYDROMECHANICS PROBLEM
In this work we study a deformation of the minimal interface of two fluids in a vertical tube under the presence of gravitation. We show that a symmetry of the base of tube let us to apply a method developed earlier by the first author and based on the Crandall‐Rabinowitz bifurcation theorem. Using...
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| Published in: | Abstract and Applied Analysis 1996, Vol.1996 (3), p.291-304 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-a4262-f3868c98712dad02e168823daaee8a0c8b6bb426c9a764aa21e6a905743b20973 |
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| container_end_page | 304 |
| container_issue | 3 |
| container_start_page | 291 |
| container_title | Abstract and Applied Analysis |
| container_volume | 1996 |
| creator | Borisovich, A. Y. Marzantowicz, W. |
| description | In this work we study a deformation of the minimal interface of two fluids in a vertical tube under the presence of gravitation. We show that a symmetry of the base of tube let us to apply a method developed earlier by the first author and based on the Crandall‐Rabinowitz bifurcation theorem. Using the natural symmetry of the corresponding variational problem defined by a symmetry of region and restricting the functional to spaces of invariant functions we show the existence of bifurcation, and describe its local picture, for interfaces parametrized by the square and disc. |
| doi_str_mv | 10.1155/S1085337596000152 |
| format | article |
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| fulltext | fulltext |
| identifier | ISSN: 1085-3375 |
| ispartof | Abstract and Applied Analysis, 1996, Vol.1996 (3), p.291-304 |
| issn | 1085-3375 1687-0409 |
| language | eng |
| recordid | cdi_doaj_primary_oai_doaj_org_article_14082366076e4018a629d5e3ef14cf51 |
| source | Wiley-Blackwell Open Access Collection; IngentaConnect Journals |
| subjects | 53A10 53C10 58E12 bifurcation Equivariant Plateau problem fluid interface |
| title | BIFURCATION OF THE EQUIVARIANT MINIMAL INTERFACES IN A HYDROMECHANICS PROBLEM |
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