AVERAGING IN NONLINEAR ADVECTIVE TRANSPORT PROBLEMS

Authors
HEIJNEKAMP JJ KROL MS VERHULST F
Citation
Jj. Heijnekamp et al., AVERAGING IN NONLINEAR ADVECTIVE TRANSPORT PROBLEMS, Mathematical methods in the applied sciences, 18(6), 1995, pp. 437-448
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical methods in the applied sciences → ACNP
ISSN journal
01704214
Volume
18
Issue
6
Year of publication
1995
Pages
437 - 448
Database
ISI
SICI code
0170-4214(1995)18:6<437:AINATP>2.0.ZU;2-K
Abstract
Advective transport in a tidal basin is modelled by a non-linear parab olic equation with initial-boundary values. The model includes small e ffects such as diffusion, the reststream, reaction effects and sources . For a given periodic Bow field, the long-time behaviour of the solut ions is approximated by using the averaging method. We show the existe nce of a periodic solution and we demonstrate the asymptotic validity of the approximations for all time using maximum principles.