Analysis of a model of phosphorus uptake by plant roots

作者：Comte Myriam^*; Coron Jean Michel; Guerrero Sergio; Tournier Pierre Henri

来源：Journal of Evolution Equations, 2013, 13(3): 595-615.

DOI：10.1007/s00028-013-0192-4

• Quasilinear parabolic equations
• Regularity estimates
• Phosphorus uptake
• Plant roots
• Shape optimization

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.

• 出版日期2013-9