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Analytical solution of Boudreaús equation for a tracer subject to food‐feedback bioturbation
Author(s) -
Swaney Dennis P.
Publication year - 1999
Publication title -
limnology and oceanography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.7
H-Index - 197
eISSN - 1939-5590
pISSN - 0024-3590
DOI - 10.4319/lo.1999.44.3.0697
Subject(s) - bioturbation , tracer , mixing (physics) , boundary (topology) , differential equation , boundary value problem , boundary layer , subject (documents) , thermodynamics , mathematical analysis , mathematics , chemistry , physics , geology , computer science , quantum mechanics , geomorphology , sediment , library science
Boudreau (1998) obtains a differential equation for a tracer at steady state, subject to mixing associated with bioturbation in a mixed layer of thickness L . As he suggests, the equation may be solved numerically, but an expression for the solution in terms of conventional functional forms would be convenient for the researcher. Analytical solutions corresponding to two different standard boundary conditions are derived below, and their behaviors are discussed briefly.