Passive tracer dispersion with random or periodic source

Mathematical and Computer Modelling

Volumn 28, Issue 11, 1998, Pages 1-5

  Duan, J ^a  

^a CLEMSON UNIVERSITY   (United States)

Author keywords

Concentration; Invariant measure; Long time behavior; Periodic concentration; Tracer transport

Indexed keywords

EID: 0032420964     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(98)00160-5     Document Type: Article

References (19)

1. 1. M.M. Clark, Transport Modeling for Environmental Engineers and Scientists, John Wiley and Sons, New York, (1996).
2. 2. J.L. Schnoor, Environmental Modeling: Fate and Transport of Pollutants in Water, Air and Soil, John Wiley and Sons, New York, (1996).
3. 3. B. Hunt, Mathematical Analysis of Groundwater Resources, Butterworths, London, (1983).
4. 4. S-E. Serrano and T.E. Unny, Random evolution equations in hydrology, Appl. Math. Comp. 38, 201-226, (1990).
5. 5. D.B. Chelton, W.F. Eddy, R. DeVeaux, R. Feldman, R.E. Glazman, A. Griffa, K.A. Kelly, G.J. MacDonald, M. Rosenblatt, B. Rozovskii and J.R. Tucker, Report on statistics and physical oceanography, Statistical Science 9, 167-221, (1994).
6. 6. R. Smith, Dispersion of tracers in the deep ocean, J. Fluid Mech. 123, 131-142, (1982).
7. 7. W.R. Young, P.B. Rhines and C.J.R. Garrett, Shear-flow dispersion, internal waves and horizontal mixing in the ocean, J. Phys. Oceanography 12, 515-527, (1982).
8. 8. I. Mezic, J.F. Brady and S. Wiggins, Maximal effective diflusivity for time-periodic incompressible fluid flows, SIAM J. Appl. Math. 56, 40-56, (1996).
9. 9. A. Fannjiang and G, Papanicolaou, Convection-enhanced diffusion for random flows, J. Stat. Phys. 88, 1033-1077, (1997).
10. 10. V. Klyatskin, W.A. Woyczynski and D. Gurarie, Diffusing passive tracers in random incompressible flows: Statistical topography aspects, J. Stat. Phys. 84, 797-836, (1996).
11. 11. G.N. Mercer and A.J. Roberts, A centre manifold description of contaminant dispersion in channels with varying flow properties, SIAM J. Appl. Math. 50, 1547-1565, (1990).
12. 12. S. Rosencrans, Taylor dispersion in curved channels, SIAM J. Appl. Math. 57, 1216-1241, (1997).
13. 13. D. Henry, Geometric Theory of Semilinear Parabolic Equations, Springer-Verlag, Berlin, (1981).
14. 14. M.A. Krasnoselskii and P.P. Zabreiko, Geometrical Methods of Nonlinear Analysis, Springer-Verlag, (1984).
15. nd edition, Springer-Verlag, (1983).
16. 16. R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, (1988).
17. 17. J.K. Hale, Asymptotic behavior of dissipative systems, American Math. Soc., (1988).
18. 18. G. Da Prato and J. Zabczyk, Stochastic Equations in Infinite Dimensions, Cambridge University Press, (1992).
19. 19. J. Brannan and J. S. Haselow, The effects of heterogeneity on contaminant unloading times, (submitted).