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The Mathematics of Fluids and Solids

Instantanés de recherche mathématique à 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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Sujet mathématique

Analyse

Liens avec d'autres domaines

Physique

Auteur(s)

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

Licence

DOI

10.14760/SNAP-2019-019-EN

Télécharger PDF

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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      The periodic tables of algebraic geometry
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      Patterns and waves in theory, experiment, and application
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      Closed geodesics on surfaces
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      Characterizations of intrinsic volumes on convex bodies and convex functions
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      Representations and degenerations
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      Solving inverse problems with Bayes’ theorem
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      Jewellery from tessellations of hyperbolic space
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      Seeing through rock with help from optimal transport
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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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      Describing distance: from the plane to spectral triples
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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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      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
      Holger Kammeyer, Roman Sauer
      From Betti numbers to l2-Betti numbers
      Martin J. Gander
      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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      A surprising connection between quantum mechanics and shallow water waves
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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
      Pietro Milici
      Touching the transcendentals: tractional motion from the birth of calculus to future perspectives
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      Analogue mathematical instruments: Examples from the “theoretical dynamics” group (France, 1948–1964)
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      Configuration spaces and braid groups
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      Limits of graph sequences
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      On Logic, Choices and Games
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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
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      Positive Scalar Curvature and Applications
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      Diophantine equations and why they are hard
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      Estimating the volume of a convex body
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      Mixed volumes and mixed integrals
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      A short story on optimal transport and its many applications
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      Number theory in quantum computing
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      Data assimilation: mathematics for merging models and data
      Claus Hertling
      Geometry behind one of the Painlevé III differential equations
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      The codimension
      Marius Tucsnak
      The mathematics of aquatic locomotion
      Erwan Brugallé, Ilia Itenberg, Kristin Shaw, Oleg Viro
      Tropical geometry
      Alex Barnett
      Fast Solvers for Highly Oscillatory Problems
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      Topological Complexity, Robotics and Social Choice
      Thomas Sauer
      Prony’s method: an old trick for new problems
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      Computing with symmetries
      Piotr Sułkowski
      Topological recursion
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      Jean-Pierre Tignol
      Solving quadratic equations in many variables
      Chi-Wang Shu
      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
      Justin Solomon
      Computational Optimal Transport
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      A few shades of interpolation
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      Molecular quantum dynamics
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      Closed geodesics on surfaces and Riemannian manifolds
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      Aperiodic Order and Spectral Properties
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      Profinite groups
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      The adaptive finite element method
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      Polyhedra and commensurability
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      Wie steuert man einen Kran?
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      Symmetry and characters of finite groups
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      On the containment problem
      Éric Fusy
      Random sampling of domino and lozenge tilings
      Magnus Egerstedt
      Swarming robots
      Ulrich Krähmer
      From computer algorithms to quantum field theory: an introduction to operads
      Juanjo Rué
      Domino tilings of the Aztec Diamond
      Sebastian Funk
      The mystery of sleeping sickness – why does it keep waking up?
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      Quantum diffusion
      Amanda Swan, Albert Murtha
      Modelling the spread of brain tumours
      J. Marron
      Visual Analysis of Spanish Male Mortality
      Christopher Sangwin
      Curriculum development in university mathematics: where mathematicians and education collide
      Jürg Kramer, Anna-Maria Pippich
      Special values of zeta functions and areas of triangles
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      How to choose a winner : the mathematics of social choice
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      Chaos and chaotic fluid mixing
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      The Kadison-Singer problem
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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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