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The Mathematics of Fluids and Solids

Schnappschüsse moderner Mathematik aus 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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Mathematisches Fachgebiet

Analysis

Verbindung zu anderen Gebieten

Physik

Autor(en)

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

Lizenz

DOI (Digital Object Identifier)

10.14760/SNAP-2019-019-EN

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snapshots-2019-019.pdf

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snapshots: overview

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      Waves and incidences
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      The geometry of fair division
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      Cutoff phenomenon: Surprising behaviour in card shuffling and other Markov chains
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      Algebras and quantum games
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      Felder und Räume: Symmetrie und Lokalität in Mathematik und theoretischen Wissenschaften
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      The periodic tables of algebraic geometry
      Jason J. Bramburger
      Patterns and waves in theory, experiment, and application
      Benjamin Dozier
      Closed geodesics on surfaces
      Kathrin Hellmuth, Christian Klingenberg
      Route planning for bacteria
      Fabian Mussnig
      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?
      Saiteja Utpala, Nina Miolane
      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
      Seeing through rock with help from optimal transport
      David A. Craven
      Searching for the Monster in the Trees
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      The Robinson–Schensted algorithm
      Franca Hoffmann, Sara Merino-Aceituno
      Emergence in biology and social sciences
      Jason D. Lotay
      Lagrangian mean curvature flow
      Leo Storme
      Finite geometries: pure mathematics close to applications
      Francesca Arici, Bram Mesland
      Describing distance: from the plane to spectral triples
      Martijn Caspers
      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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      Ultrafilter methods in combinatorics
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      Zopfgruppen, die Yang–Baxter-Gleichung und Unterfaktoren
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      Invitation to quiver representation and Catalan combinatorics
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      Searching for structure in complex data: A modern statistical quest
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      C∗-algebras: structure and classification
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      From the dollar game to the Riemann-Roch Theorem
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      Higgs bundles without geometry
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      Rotating needles, vibrating strings, and Fourier summation
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      Quantum symmetry
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      Determinacy versus indeterminacy
      Jayadev S. Athreya, David Aulicino
      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?
      Jan-Bernhard Kordaß
      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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      Limits of graph sequences
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      Nonlinear Acoustics
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      Random permutations
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      Counting self-avoiding walks on the hexagonal lattice
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      Algebra, matrices, and computers
      Jonathan Rosenberg, David Wraith
      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      On radial basis functions
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      Snake graphs, perfect matchings and continued fractions
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      Mixed volumes and mixed integrals
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      Number theory in quantum computing
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      Data assimilation: mathematics for merging models and data
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      Geometry behind one of the Painlevé III differential equations
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      The codimension
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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
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      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
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      Topological recursion
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      Jean-Pierre Tignol
      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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      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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      Jacob Bedrossian
      Towards a Mathematical Theory of Turbulence in Fluids
      Laurent Bartholdi
      Profinite groups
      Dietmar Gallistl
      The adaptive finite element method
      Steven Klee
      Footballs and donuts in four dimensions
      Nikolai Nowaczyk
      The Willmore Conjecture
      Lior Bary-Soroker
      Prime Tuples in Function Fields
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      Polyhedra and commensurability
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      Symmetry and characters of finite groups
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      Modelling the spread of brain tumours
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      Modelling communication and movement: from cells to animals and humans
      Tom Solomon
      Chaos and chaotic fluid mixing
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      Friezes and tilings
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      Zero-dimensional symmetry
      Christine Breiner
      Minimizing energy
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      Billiards and flat surfaces
      Peter Benner, Hermann Mena, René Schneider
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      Operator theory and the singular value decomposition
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      The Kadison-Singer problem
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      Howell Tong
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      Dirichlet Series

      Mathematisches Fachgebiet

      Algebra und Zahlentheorie
      Analysis
      Didaktik und Bildung
      Diskrete Mathematik und Grundlagen
      Geometrie und Topologie
      Numerik und Wissenschaftliches Rechnen
      Wahrscheinlichkeitstheorie und Statistik

      Verbindung zu anderen Gebieten

      Chemie und Geowissenschaft
      Informatik
      Ingenieurwissenschaft und Technik
      Finanzwesen
      Geistes- und Sozialwissenschaft
      Biowissenschaft
      Physik
      Überlegungen zur Mathematik

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