Skip to Main content Skip to Navigation
Theses

Shape optimization and spatial heterogeneity in reaction-diffusion equations

Abstract : This thesis is devoted to the study of shape optimisation and control problems stemming from the study of spatial ecology. Assuming we are working with a population whose density depends on a spatially heterogeneous Fisher-KPP equation involving a resources distribution, we wish to investigate which of these resources distributions optimises the survival, or total population size of the population. In order to study such questions, we introduce and analyse several shape optimisation and control problems involving the solutions of reaction-diffusion PDEs and/or spectral quantities that depend on the resources distribution.
Complete list of metadatas

Cited literature [227 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-02905887
Contributor : Idriss Mazari <>
Submitted on : Thursday, July 23, 2020 - 6:51:33 PM
Last modification on : Thursday, October 15, 2020 - 2:44:04 PM

File

Manuscrit_Thèse.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-02905887, version 1

Citation

Idriss Mazari. Shape optimization and spatial heterogeneity in reaction-diffusion equations. Analysis of PDEs [math.AP]. Sorbonne Université, 2020. English. ⟨tel-02905887⟩

Share

Metrics

Record views

230

Files downloads

230