Blowup and dissipation in a critical-case unstable thin film equation
We study the dynamics of dissipation and blow-up in a critical-case unstable thin film equation. The governing equation is a nonlinear fourth-order degenerate parabolic PDE derived from a generalized model for lubrication flows of thin viscous fluid layers on solid surfaces. There is a critical mass...
| Asıl Yazarlar: | , , |
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| Materyal Türü: | Journal article |
| Dil: | English |
| Baskı/Yayın Bilgisi: |
2004
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| _version_ | 1826270196266958848 |
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| author | Witelski, T Bernoff, A Bertozzi, A |
| author_facet | Witelski, T Bernoff, A Bertozzi, A |
| author_sort | Witelski, T |
| collection | OXFORD |
| description | We study the dynamics of dissipation and blow-up in a critical-case unstable thin film equation. The governing equation is a nonlinear fourth-order degenerate parabolic PDE derived from a generalized model for lubrication flows of thin viscous fluid layers on solid surfaces. There is a critical mass for blow-up and a rich set of dynamics including families of similarity solutions for finite-time blow-up and infinite-time spreading. The structure and stability of the steady-states and the compactly-supported similarity solutions is studied. |
| first_indexed | 2024-03-06T21:37:03Z |
| format | Journal article |
| id | oxford-uuid:469dc0f6-cccc-4fdd-8f08-d5eb5c03c85e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:37:03Z |
| publishDate | 2004 |
| record_format | dspace |
| spelling | oxford-uuid:469dc0f6-cccc-4fdd-8f08-d5eb5c03c85e2022-03-26T15:14:52ZBlowup and dissipation in a critical-case unstable thin film equationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:469dc0f6-cccc-4fdd-8f08-d5eb5c03c85eEnglishSymplectic Elements at Oxford2004Witelski, TBernoff, ABertozzi, AWe study the dynamics of dissipation and blow-up in a critical-case unstable thin film equation. The governing equation is a nonlinear fourth-order degenerate parabolic PDE derived from a generalized model for lubrication flows of thin viscous fluid layers on solid surfaces. There is a critical mass for blow-up and a rich set of dynamics including families of similarity solutions for finite-time blow-up and infinite-time spreading. The structure and stability of the steady-states and the compactly-supported similarity solutions is studied. |
| spellingShingle | Witelski, T Bernoff, A Bertozzi, A Blowup and dissipation in a critical-case unstable thin film equation |
| title | Blowup and dissipation in a critical-case unstable thin film equation |
| title_full | Blowup and dissipation in a critical-case unstable thin film equation |
| title_fullStr | Blowup and dissipation in a critical-case unstable thin film equation |
| title_full_unstemmed | Blowup and dissipation in a critical-case unstable thin film equation |
| title_short | Blowup and dissipation in a critical-case unstable thin film equation |
| title_sort | blowup and dissipation in a critical case unstable thin film equation |
| work_keys_str_mv | AT witelskit blowupanddissipationinacriticalcaseunstablethinfilmequation AT bernoffa blowupanddissipationinacriticalcaseunstablethinfilmequation AT bertozzia blowupanddissipationinacriticalcaseunstablethinfilmequation |