SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS
Consider the following simple, but typical, example of a non-linear equilibrium (differential equation) problem:. Δu = -λf(u) for (x, y) j{cyrillic, ukrainian} D,u = 0 for (x, y) j{cyrillic, ukrainian} D.Usually the eigenvalues of the (small u) linearized problem are simple, and each simple eigen va...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
1982
|
| _version_ | 1826262275376283648 |
|---|---|
| author | Budden, P Norbury, J |
| author_facet | Budden, P Norbury, J |
| author_sort | Budden, P |
| collection | OXFORD |
| description | Consider the following simple, but typical, example of a non-linear equilibrium (differential equation) problem:. Δu = -λf(u) for (x, y) j{cyrillic, ukrainian} D,u = 0 for (x, y) j{cyrillic, ukrainian} D.Usually the eigenvalues of the (small u) linearized problem are simple, and each simple eigen value generates two solution branches for the full problem. However, the full problem nearly always has many other solution branches, and this paper describes how to find these other branches and why they arise. © 1982, by Academic Press Inc. (London) Ltd. |
| first_indexed | 2024-03-06T19:33:49Z |
| format | Journal article |
| id | oxford-uuid:1e5d3a61-1f9e-47d1-8de5-db89734a34fb |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:33:49Z |
| publishDate | 1982 |
| record_format | dspace |
| spelling | oxford-uuid:1e5d3a61-1f9e-47d1-8de5-db89734a34fb2022-03-26T11:15:57ZSOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONSJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1e5d3a61-1f9e-47d1-8de5-db89734a34fbEnglishSymplectic Elements at Oxford1982Budden, PNorbury, JConsider the following simple, but typical, example of a non-linear equilibrium (differential equation) problem:. Δu = -λf(u) for (x, y) j{cyrillic, ukrainian} D,u = 0 for (x, y) j{cyrillic, ukrainian} D.Usually the eigenvalues of the (small u) linearized problem are simple, and each simple eigen value generates two solution branches for the full problem. However, the full problem nearly always has many other solution branches, and this paper describes how to find these other branches and why they arise. © 1982, by Academic Press Inc. (London) Ltd. |
| spellingShingle | Budden, P Norbury, J SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title | SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title_full | SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title_fullStr | SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title_full_unstemmed | SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title_short | SOLUTION BRANCHES FOR NON-LINEAR EQUILIBRIUM PROBLEMS - BIFURCATION AND DOMAIN PERTURBATIONS |
| title_sort | solution branches for non linear equilibrium problems bifurcation and domain perturbations |
| work_keys_str_mv | AT buddenp solutionbranchesfornonlinearequilibriumproblemsbifurcationanddomainperturbations AT norburyj solutionbranchesfornonlinearequilibriumproblemsbifurcationanddomainperturbations |