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arXiv · 1507.06784

On the existence of solutions for a nonlinear stochastic partial differential equation arising as a model of phytoplankton aggregation

Nadjia El Saadi·Zakia Benbaziz
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Abstract

In this paper, we are interested in the analytical study of a nonlinear Stochastic Partial Differential Equation (SPDE) arising as a model of phytoplankton aggregation. This SPDE consists in a diffusion equation with a chemotaxis term responsible of self-attraction of phytoplankton cells and a multiplicative branching noise. Existence of mild solutions is established through weak and tightness arguments.

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Nadjia El Saadi, Zakia Benbaziz. 2015-07-24. On the existence of solutions for a nonlinear stochastic partial differential equation arising as a model of phytoplankton aggregation. https://arxiv.org/abs/1507.06784

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