Averaging in non-linear advective transport problems

✍ Scribed by J. J. Heijnekamp; M. S. Krol; F. Verhulst

• Publisher: John Wiley and Sons
• Year: 1995
• Tongue: English
• Weight: 523 KB
• Volume: 18
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670180603

✦ Synopsis

Communicated by K. Kirchgassner

Advective transport in a tidal basin is modelled by a non-linear parabolic equation with initial-boundary values. The model includes small effects such as diffusion, the reststream, reaction effects and sources. For. a given periodic flow field, the long-time behaviour of the solutions is approximated by using the averaging method. We show the existence of a periodic solution and we demonstrate the asymptotic validity of the approximations for all time using maximum principles.

~151.

C, + V . ( u C )

in which SZ c R 2 is open, bounded and has a smooth boundary. C = C(x, y, t ) denotes the concentration of material in the sea; u = u0(x, y , t ) + E u I ( x , y ) represents the flow field in which uo is the dominant periodic part caused by the tides, u1 stands for the CCC 01 7 0 4 2 14/95/O6O437-12