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Patterns and waves in theory, experiment, and application

Instantáneas de la actualidad matemática desde 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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Área matemática

Análisis
Cálculo numérico y científico

Autor(es)

Jason J. Bramburger

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2023-001-EN

Descargar PDF

snapshot-2023-001.pdf

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snapshots: overview

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      The Mathematics of Fluids and Solids
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      Formation Control and Rigidity Theory
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      Tropical geometry
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      Topological Complexity, Robotics and Social Choice
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      Computing with symmetries
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      Topological recursion
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      Mathematics plays a key role in scientific computing
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      Molecular quantum dynamics
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      Closed geodesics on surfaces and Riemannian manifolds
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      Quantum diffusion
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      Área matemática

      Álgebra y Teoría de números
      Análisis
      Didáctica y Educación
      Matemática discreta y Fundamentos
      Geometría y Topología
      Cálculo numérico y científico
      Teoría de la probabilidad y Estadística

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