Droplet spreading under weak slippage: A basic result on finite speed of propagation
We prove a new qualitative result on finite speed of propagation for the thin film equation subjected to Navier slippage or even weaker slip conditions. Our approach works in multiple space dimensions and is based on a novel technique which combines recently established weighted energy estimates wit...
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| Veröffentlicht in: | SIAM journal on mathematical analysis 2003, Vol.34 (4), p.992-1006 |
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| container_title | SIAM journal on mathematical analysis |
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| creator | Grun, Gunther |
| description | We prove a new qualitative result on finite speed of propagation for the thin film equation subjected to Navier slippage or even weaker slip conditions. Our approach works in multiple space dimensions and is based on a novel technique which combines recently established weighted energy estimates with a Hardy-type inequality and with Stampacchia's iteration lemma. It can be adapted to degenerate parabolic equations of order different from four as well. |
| doi_str_mv | 10.1137/S0036141002403298 |
| format | Article |
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| identifier | ISSN: 0036-1410 |
| ispartof | SIAM journal on mathematical analysis, 2003, Vol.34 (4), p.992-1006 |
| issn | 0036-1410 1095-7154 |
| language | eng |
| recordid | cdi_proquest_journals_923980829 |
| source | LOCUS - SIAM's Online Journal Archive |
| subjects | Applied mathematics Contact angle Energy Entropy Estimates Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Laminar flows Low-reynolds-number (creeping) flows Mathematical analysis Mathematics Partial differential equations Physics Propagation Sciences and techniques of general use |
| title | Droplet spreading under weak slippage: A basic result on finite speed of propagation |
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