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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.
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https://tel.archives-ouvertes.fr/tel-02905887
Contributor : Idriss Mazari <>
Submitted on : Wednesday, January 13, 2021 - 11:21:49 AM
Last modification on : Saturday, January 16, 2021 - 3:31:05 AM

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  • HAL Id : tel-02905887, version 3

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Idriss Mazari. Shape optimization and spatial heterogeneity in reaction-diffusion equations. Analysis of PDEs [math.AP]. Sorbonne Université, 2020. English. ⟨tel-02905887v3⟩

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