Fragmentation-Coagulation Models of Phytoplankton
Ryszard Rudnicki ; Radosław Wieczorek
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006), p. 175-191 / Harvested from The Polish Digital Mathematics Library
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We present two new models of the dynamics of phytoplankton aggregates. The first one is an individual-based model. Passing to infinity with the number of individuals, we obtain an Eulerian model. This model describes the evolution of the density of the spatial-mass distribution of aggregates. We show the existence and uniqueness of solutions of the evolution equation.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:280225 
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     author = {Ryszard Rudnicki and Rados\l aw Wieczorek},
     title = {Fragmentation-Coagulation Models of Phytoplankton},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {54},
     year = {2006},
     pages = {175-191},
     zbl = {1105.60076},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-9}
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Ryszard Rudnicki; Radosław Wieczorek. Fragmentation-Coagulation Models of Phytoplankton. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 54 (2006) pp. 175-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba54-2-9/