Stochastic Geometric Mechanics for Fluid Dynamics
arXiv:2308.15286
Abstract
Stochastic geometric mechanics (SGM) is known for its potential utility in quantifying uncertainty in global climate modelling of the Earth's ocean and atmosphere while also preserving the fundamental advective transport properties of ideal fluid flow. The present chapter describes the mathematical development of the framework of stochastic geometric mechanics in the context of fluid flow and wave dynamics obtained from Lie group-invariant variational principles.
23 pages, 3 figures, 3 tables, submitted to Elsevier Encyclopedia of Mathematical Physics second edition. arXiv admin note: substantial text overlap with arXiv:2108.07853