Patterns in natural systems

Leiden Repository

Patterns in natural systems

Type: Doctoral Thesis
Title: Patterns in natural systems
Author: Sewalt, L.
Issue Date: 2016-09-08
Keywords: Partial differential equations
Asymptotic analysis
Geometric singular perturbation theory
Abstract: In the thesis, `Patterns in natural systems’ the formation and evolution of patterns as solutions of several partial differential systems are studied. These mathematical systems model three different biological and ecological processes. First, the way that plankton concentrates in the water column, under the influence of light and nutrient availability. Second, how tumor cells invade their healthy surroundings when it is incorporated that tumor cells cannot survive in a very small concentration. Lastly, the phenomenon that vegetation in semi-deserts organizes in strikingly regular patterns is studied. The mathematical tools that are used in this thesis, mostly arise from asymptotic analysis and geometric singular perturbation theory.
Promotor: Supervisor: A. Doelman Co-Supervisors: P.J.A. van Heijster; A. Zagaris
Faculty: Science
University: Leiden

Files in this item

Description Size View
application/pdf Cover 2.126Mb View/Open
application/pdf Full text 37.79Mb View/Open
application/pdf Title page_Table of contents_Preface 236.6Kb View/Open
application/pdf Chapter 1 Introduction 4.960Mb View/Open
application/pdf Chapter 2 5.469Mb View/Open Full text at publisher site
application/pdf Chapter 3 5.254Mb View/Open Full text at publisher site
application/pdf Chapter 4 7.494Mb View/Open Full text at publisher site
application/pdf Chapter 5 15.95Mb View/Open
application/pdf References 230.3Kb View/Open
application/pdf Summary in Dutch 161.5Kb View/Open
application/pdf Acknowledgements_Curriculum Vitae 144.4Kb View/Open
application/pdf Propositions 124.3Kb View/Open

This item appears in the following Collection(s)