Contraction in $L^1$ and large time behavior for a system arising in chemical reactions and molecular motors
| dc.creator | Chipot, M. | |
| dc.creator | Hilhorst, D. | |
| dc.creator | Kinderlehrer, D. | |
| dc.creator | Olech, M. | |
| dc.date | 2008-08-02 | |
| dc.date.accessioned | 2026-07-07T09:54:26Z | |
| dc.date.available | 2026-07-07T09:54:26Z | |
| dc.description | We prove a contraction in $L^1$ property for the solutions of a nonlinear reaction--diffusion system whose special cases include intercellular transport as well as reversible chemical reactions. Assuming the existence of stationary solutions we show that the solutions stabilize as $t$ tends to infinity. Moreover, in the special case of linear reaction terms, we prove the existence and the uniqueness (up to a multiplicative constant) of the stationary solution. | |
| dc.description | 20 pages, packages used: amsmath, amssymb, amsthm, mathrsfs, bbm, nicefrac | |
| dc.identifier | https://arxiv.org/abs/0808.0250 | |
| dc.identifier | http://arxiv.org/abs/0808.0250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166314 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 34D23, 35K45, 35K50, 35K55, 35K57, 92C37, 92C45 | |
| dc.title | Contraction in $L^1$ and large time behavior for a system arising in chemical reactions and molecular motors | |
| dc.type | text |