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Analysis of a model of phosphorus uptake by plant roots

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Abstract

In this paper, we consider a model of phosphorus uptake by plant roots, governed by a quasilinear parabolic equation. We first study the well posedness of the associated Cauchy problem. Then, we consider a shape optimization problem: how to deform the shape of the root in order to increase phosphorus uptake. Finally, we give some numerical results of the shape optimization process.

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Authors and Affiliations

  1. UMR 7598 Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie—Paris 6, 75005, Paris, France

    Myriam Comte, Jean-Michel Coron, Sergio Guerrero & Pierre-Henri Tournier

Authors
  1. Myriam Comte
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  2. Jean-Michel Coron
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  3. Sergio Guerrero
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  4. Pierre-Henri Tournier
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Correspondence to Pierre-Henri Tournier.

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Comte, M., Coron, JM., Guerrero, S. et al. Analysis of a model of phosphorus uptake by plant roots. J. Evol. Equ. 13, 595–615 (2013). https://doi.org/10.1007/s00028-013-0192-4

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  • DOI: https://doi.org/10.1007/s00028-013-0192-4

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