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Preface: Special issue on advances in the mathematical study of pattern formation

Carter, Paul; Goh, Ryan; de Rijk, Björn 1; Wu, Qiliang
1 Institut für Analysis (IANA), Karlsruher Institut für Technologie (KIT)

Abstract:

Natural physical mechanisms are capable of forming an incredible array of self-organized and regular spatio-temporal structure. Often referred to as patterns, such structures have elicited interest by scientists, engineers, and mathematicians alike. Inspired by pioneers like Liesegang, Haeckel, Wentworth Thompson, and Turing, researchers seek to understand how the combination of simple mechanisms, such as diffusion, reaction, convection, or transport, combine to create and mediate regular periodic patterns. Classic examples (for which many interesting questions are still unanswered) arise in the formation of roll states in convective fluids, stripes and spots in animal coats, ordered cell differentiation in biological morphogenesis, and spiral arrangements of primordia in flowers. As such diverse systems often produce qualitatively similar forms, it is of interest to distill any universal properties of patterns across these systems.


Verlagsausgabe §
DOI: 10.5445/IR/1000156137
Veröffentlicht am 20.02.2023
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Zeitschriftenaufsatz
Publikationsmonat/-jahr 09.2022
Sprache Englisch
Identifikator ISSN: 1937-1632, 1937-1179
KITopen-ID: 1000156137
Erschienen in Discrete and Continuous Dynamical Systems - S
Verlag American Institute of Mathematical Sciences (AIMS)
Band 15
Heft 9
Seiten i-ii
Nachgewiesen in Dimensions
Web of Science
Scopus
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