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Patterns and waves in theory, experiment, and application

Oberwolfach'tan

Patterns and waves in theory, experiment, and application

In this snapshot of modern mathematics we describe some of the most prevalent waves and patterns that can arise in mathematical models and which are used to describe a number of biological, chemical, physical, and social processes. We begin by focussing on two types of patterns that do not change in time: space-filling patterns and localized patterns. We then discuss two types of waves that evolve predictably as time goes on: spreading waves and rotating waves. All our examples are motivated with real-world applications and we highlight some of the main lines of research that mathematicians pursue to better understand them.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Analiz
Nümerik ve Hesap Analizi

Yazar(lar)

Jason J. Bramburger

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2023-001-EN

PDF indir

snapshot-2023-001.pdf

PDF

snapshots: overview

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      The Mathematics of Fluids and Solids
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      Topological recursion
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      Friezes and tilings
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      Zero-dimensional symmetry
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      The ternary Goldbach Problem
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      Matrixfaktorisierungen
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      Dirichlet Series

      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

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      Fizik
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