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The Mathematics of Fluids and Solids

Instantáneas de la actualidad matemática desde Oberwolfach

The Mathematics of Fluids and Solids

Fluid-structure interaction is a rich and active field of mathematics that studies the interaction between fluids and solid objects. In this short article, we give a glimpse into this exciting field, as well as a sample of the most significant questions that mathematicians try to answer.

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Área matemática

Análisis

Relaciones con otros campos

Física

Autor(es)

barbara Kaltenbacher, Igor Kukavica, Irena Lasiecka, Roberto Triggianti, Amjad Fuffaha, Justin Weber

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2019-019-EN

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snapshots-2019-019.pdf

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snapshots: overview

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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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      Algebras and quantum games
      Ingmar Saberi
      Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
      Pieter Belmans
      The periodic tables of algebraic geometry
      Jason J. Bramburger
      Patterns and waves in theory, experiment, and application
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      Closed geodesics on surfaces
      Kathrin Hellmuth, Christian Klingenberg
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      Characterizations of intrinsic volumes on convex bodies and convex functions
      Jennifer S. Balakrishnan
      A tale of three curves
      Michael Baake, Uwe Grimm, Robert V. Moody
      What is Pattern?
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      Biological Shape Analysis with Geometric Statistics and Learning
      Ilya Dumanski, Valentina Kiritchenko
      Representations and degenerations
      Jonas Latz, Björn Sprungk
      Solving inverse problems with Bayes’ theorem
      Herbert Gangl
      Jewellery from tessellations of hyperbolic space
      Chr istina Frederick, Yunan Yang
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      Searching for the Monster in the Trees
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      The Robinson–Schensted algorithm
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      Emergence in biology and social sciences
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      Lagrangian mean curvature flow
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      Finite geometries: pure mathematics close to applications
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      Quantum symmetry
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      The Enigma behind the Good–Turing formula
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      Reflections on hyperbolic space
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      Quantum symmetry
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      Vertex-to-Self Trajectories on the Platonic Solids
      Gianluca Finocchio
      Random matrix theory: Dyson Brownian motion
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      From Betti numbers to l2-Betti numbers
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      Is it possible to predict the far future before the near future is known accurately?
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      The Interaction of Curvature and Topology
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      The Mathematics of Fluids and Solids
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      Formation Control and Rigidity Theory
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      Expander graphs and where to find them
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      Deep Learning and Inverse Problems
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      Mixed-dimensional models for real-world applications
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      Configuration spaces and braid groups
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      Nonlinear Acoustics
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      Random permutations
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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Mixed volumes and mixed integrals
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      Geometry behind one of the Painlevé III differential equations
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      The mathematics of aquatic locomotion
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      Tropical geometry
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      Fast Solvers for Highly Oscillatory Problems
      Greg Lupton, John Oprea, José Gabriel Carrasquel Vera
      Topological Complexity, Robotics and Social Choice
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      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
      Anna Seigal
      The Algebraic Statistics of an Oberwolfach Workshop
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      Solving quadratic equations in many variables
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      Mathematics plays a key role in scientific computing
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      Spaces of Riemannian metrics
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      Computing the long term evolution of the solar system with geometric numerical integrators
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      Computational Optimal Transport
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      Molecular quantum dynamics
      Marco Radeschi
      Closed geodesics on surfaces and Riemannian manifolds
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      Mathematische Modellierung von Krebswachstum
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      Aperiodic Order and Spectral Properties
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      News on quadratic polynomials
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      Towards a Mathematical Theory of Turbulence in Fluids
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      Profinite groups
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      The adaptive finite element method
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      Footballs and donuts in four dimensions
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      The Willmore Conjecture
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      Polyhedra and commensurability
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      Symmetry and characters of finite groups
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      Das Problem der Kugelpackung
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      On the containment problem
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      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      Swarming robots
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      From computer algorithms to quantum field theory: an introduction to operads
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      Domino tilings of the Aztec Diamond
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      The mystery of sleeping sickness – why does it keep waking up?
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      Quantum diffusion
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      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
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      Special values of zeta functions and areas of triangles
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      Chaos and chaotic fluid mixing
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      Zero-dimensional symmetry
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      Billiards and flat surfaces
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      Operator theory and the singular value decomposition
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      The Kadison-Singer problem
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      Dirichlet Series

      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

      Relaciones con otros campos

      Química y Ciencias de la Tierra
      Informática
      Ingeniería y Tecnología
      Finanzas
      Humanidades y Ciencias sociales
      Ciencias de la vida
      Física
      Reflexiones sobre la matemática

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