Fragmentation-Coagulation Models of Phytoplankton

Ryszard Rudnicki; Radosław Wieczorek

Bulletin of the Polish Academy of Sciences. Mathematics (2006)

  • Volume: 54, Issue: 2, page 175-191
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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Ryszard Rudnicki, and Radosław Wieczorek. "Fragmentation-Coagulation Models of Phytoplankton." Bulletin of the Polish Academy of Sciences. Mathematics 54.2 (2006): 175-191. <http://eudml.org/doc/280225>.

@article{RyszardRudnicki2006,
abstract = {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.},
author = {Ryszard Rudnicki, Radosław Wieczorek},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {phytoplankton dynamics; measure-valued processes; fragmentation-coagulation equation},
language = {eng},
number = {2},
pages = {175-191},
title = {Fragmentation-Coagulation Models of Phytoplankton},
url = {http://eudml.org/doc/280225},
volume = {54},
year = {2006},
}

TY - JOUR
AU - Ryszard Rudnicki
AU - Radosław Wieczorek
TI - Fragmentation-Coagulation Models of Phytoplankton
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2006
VL - 54
IS - 2
SP - 175
EP - 191
AB - 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.
LA - eng
KW - phytoplankton dynamics; measure-valued processes; fragmentation-coagulation equation
UR - http://eudml.org/doc/280225
ER -

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