A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
| dc.creator | Matthes, Daniel | |
| dc.creator | McCann, Robert J. | |
| dc.creator | Savar'e, Giuseppe | |
| dc.date | 2009-01-05 | |
| dc.date.accessioned | 2026-07-07T12:24:38Z | |
| dc.date.available | 2026-07-07T12:24:38Z | |
| dc.description | Global existence and long-time behavior of solutions to a family of nonlinear fourth order evolution equations on $R^d$ are studied. These equations constitute gradient flows for the perturbed information functionals $F[u] = 1/(2α) \int | D (u^α) |^2 dx + λ/2 \int |x|^2 u dx$ with respect to the $L^2$-Wasserstein metric. The value of $α$ ranges from $α=1/2$, corresponding to a simplified quantum drift diffusion model, to $α=1$, corresponding to a thin film type equation. | |
| dc.description | 33 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0901.0540 | |
| dc.identifier | http://arxiv.org/abs/0901.0540 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/214387 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35B40; 35K30; 35K55 | |
| dc.title | A Family of Nonlinear Fourth Order Equations of Gradient Flow Type | |
| dc.type | text |