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Absorption de l'eau et des nutriments par les racines des plantes : modélisation, analyse et simulation

Abstract : In the context of the development of sustainable agriculture aiming at preserving natural resources and ecosystems, it is necessary to improve our understanding of underground processes and interactions between soil and plant roots.In this thesis, we use mathematical and numerical tools to develop explicit mechanistic models of soil water and solute movement accounting for root water and nutrient uptake and governed by nonlinear partial differential equations. An emphasis is put on resolving the geometry of the root system as well as small scale processes occurring in the rhizosphere, which play a major role in plant root uptake.The first study is dedicated to the mathematical analysis of a model of phosphorus (P) uptake by plant roots. The evolution of the concentration of P in the soil solution is governed by a convection-diffusion equation with a nonlinear boundary condition at the root surface, which is included as a boundary of the soil domain. A shape optimization problem is formulated that aims at finding root shapes maximizing P uptake.The second part of this thesis shows how we can take advantage of the recent advances of scientific computing in the field of unstructured mesh adaptation and parallel computing to develop numerical models of soil water and solute movement with root water and nutrient uptake at the plant scale while taking into account local processes at the single root scale.
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Submitted on : Friday, March 20, 2015 - 1:47:09 PM
Last modification on : Saturday, December 11, 2021 - 3:49:03 AM
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  • HAL Id : tel-01133805, version 1


Pierre-Henri Tournier. Absorption de l'eau et des nutriments par les racines des plantes : modélisation, analyse et simulation. Mathématiques générales [math.GM]. Université Pierre et Marie Curie - Paris VI, 2015. Français. ⟨NNT : 2015PA066030⟩. ⟨tel-01133805⟩



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