Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics

DOI10.1007/s00332-020-09613-0zbMath1448.70059arXiv1903.07201OpenAlexW3102314135MaRDI QIDQ2190691

So Takao, Erwin Luesink, Aythami Bethencourt de León, Darryl D. Holm

Publication date: 21 June 2020

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.07201

zbMATH Keywords

stochastic geometric mechanicsLie derivatives with respect to stochastic vector fieldspull-back by smooth maps with stochastic time parameterization

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Hamilton's principle (70H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries and conservation laws in mechanics of particles and systems (70S10) More general nonquantum field theories in mechanics of particles and systems (70S20) Stochastic geometric mechanics (70L10)

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