A brief introduction to matrix hydrodynamics
arXiv:2508.07088 · doi:10.3934/jcd.2026001
Abstract
This survey gives a basic demonstration of matrix hydrodynamics; the field pioneered by V. Zeitlin, where 2-D incompressible fluids are spatially discretized via quantization theory.
19 pages, 7 figures, mini-workshop "Geometric and Stochastic Methods for Fluid Models", Kristineberg, Sweden, October 2024
References in corpus (10)
- Explicit Lie-Poisson integration and the Euler equations
- A Casimir preserving scheme for long-time simulation of spherical ideal hydrodynamics
- On the Late-Time Behaviour of a Bounded, Inviscid Two-Dimensional Flow
- Lie-Poisson methods for isospectral flows
- Selective decay by Casimir dissipation in fluids
- An efficient geometric method for incompressible hydrodynamics on the sphere
- Canonical scale separation in two-dimensional incompressible hydrodynamics
- Casimir preserving spectrum of two-dimensional turbulence
- On maximally mixed equilibria of two-dimensional perfect fluids
- Zeitlin's model for axisymmetric 3-D Euler equations