Small exponent asymptotics
We study the surprisingly complicated asymptotic character of a simple first-order differential equation, which involves a term with a low exponent of the dependent variable. While numerical solutions and straightforward asymptotic expansions indicate a clearly defined boundary layer type transition...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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Oxford Univ Press
2000
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| _version_ | 1826304920378146816 |
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| author | Fowler, A Kember, G O'Brien, S |
| author_facet | Fowler, A Kember, G O'Brien, S |
| author_sort | Fowler, A |
| collection | OXFORD |
| description | We study the surprisingly complicated asymptotic character of a simple first-order differential equation, which involves a term with a low exponent of the dependent variable. While numerical solutions and straightforward asymptotic expansions indicate a clearly defined boundary layer type transition, we find that the correct asymptotic structure involves a 'hidden' boundary layer, and that a straightforward approach cannot discern this. |
| first_indexed | 2024-03-07T06:25:01Z |
| format | Journal article |
| id | oxford-uuid:f3fd48b9-952d-482d-90d0-30f4a5126a6d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:25:01Z |
| publishDate | 2000 |
| publisher | Oxford Univ Press |
| record_format | dspace |
| spelling | oxford-uuid:f3fd48b9-952d-482d-90d0-30f4a5126a6d2022-03-27T12:16:20ZSmall exponent asymptoticsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f3fd48b9-952d-482d-90d0-30f4a5126a6dEnglishSymplectic Elements at OxfordOxford Univ Press2000Fowler, AKember, GO'Brien, SWe study the surprisingly complicated asymptotic character of a simple first-order differential equation, which involves a term with a low exponent of the dependent variable. While numerical solutions and straightforward asymptotic expansions indicate a clearly defined boundary layer type transition, we find that the correct asymptotic structure involves a 'hidden' boundary layer, and that a straightforward approach cannot discern this. |
| spellingShingle | Fowler, A Kember, G O'Brien, S Small exponent asymptotics |
| title | Small exponent asymptotics |
| title_full | Small exponent asymptotics |
| title_fullStr | Small exponent asymptotics |
| title_full_unstemmed | Small exponent asymptotics |
| title_short | Small exponent asymptotics |
| title_sort | small exponent asymptotics |
| work_keys_str_mv | AT fowlera smallexponentasymptotics AT kemberg smallexponentasymptotics AT obriens smallexponentasymptotics |