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Patterns and waves in theory, experiment, and application

Instantanés de recherche mathématique à Oberwolfach

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.

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Sujet mathématique

Analyse
Calcul numérique et calcul scientifique

Auteur(s)

Jason J. Bramburger

Licence

DOI

10.14760/SNAP-2023-001-EN

Télécharger PDF

snapshot-2023-001.pdf

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snapshots: overview

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      Tropical geometry
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      Computing with symmetries
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      Topological recursion
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      Spaces of Riemannian metrics
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      Profinite groups
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      The adaptive finite element method
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      The Willmore Conjecture
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      Polyhedra and commensurability
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      Domino tilings of the Aztec Diamond
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      Modelling the spread of brain tumours
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      Sujet mathématique

      Algèbre et théorie des nombres
      Analyse
      Pédagogie et éducation
      Mathématiques discrètes et fondements des mathématiques
      Géométrie et Topologie
      Calcul numérique et calcul scientifique
      Théorie des probabilités et statistique

      Liens avec d'autres domaines

      Chimie et sciences de la terre
      Informatique
      Ingénierie et technologie
      Finances
      Humanités et sciences sociales
      Sciences de la vie
      Physique
      Pensées mathématiques

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