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arXiv · 1902.00277

On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake

Francisco J. Fernández·Lino J. Álvarez-Vázquez·Aurea Martínez
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Abstract

In this work we introduce a well-posed mathematical model for the processes involved in the artificial circulation of water, in order to avoid eutrophication phenomena, for instance, in a lake. This novel and general formulation is based on the modified Navier-Stokes equations following the Smagorinsky model of turbulence, and presenting a suitable nonhomogeneous Dirichlet boundary condition. For the analytical study of the problem, we prove several theoretical results related to existence, uniqueness and smoothness for the solution of this recirculation model.

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Francisco J. Fernández, Lino J. Álvarez-Vázquez, Aurea Martínez. 2019-02-01. On existence and uniqueness of solution for a hydrodynamic problem related to water artificial circulation in a lake. https://arxiv.org/abs/1902.00277

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