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degenerate convection-diffusion

Mathematical Modelling of Natural Phenomena (1)

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Modelling and Mathematical Analysis of the Glass Eel Migration in the Adour River Estuary
M. Odunlami, G. Vallet
Journal:

Mathematical Modelling of Natural Phenomena / Volume 7 / Issue 3 / 2012

Published online by Cambridge University Press:

06 June 2012, pp. 168-185

Print publication:

2012
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In this paper we are interested in a mathematical model of migration of grass eels in an estuary. We first revisit a previous model proposed by O. Arino and based on a degenerate convection-diffusion equation of parabolic-hyperbolic type with time-varying subdomains. Then, we propose an adapted mathematical framework for this model, we prove a result of existence of a weak solution and we propose some numerical simulations.