Name
Title | ||
|---|---|---|
Implications of Kunita-Itô-Wentzell Formula for k-Forms in Stochastic Fluid Dynamics. |
Abstract | ||
|---|---|---|
We extend the Ito-Wentzell formula for the evolution of a time-dependent stochastic field along a semimartingale to k-form-valued stochastic processes. The result is the Kunita-Ito-Wentzell (KIW) formula for k-forms. We also establish a correspondence between the KIW formula for k-forms derived here and a certain class of stochastic fluid dynamics models which preserve the geometric structure of deterministic ideal fluid dynamics. This geometric structure includes Eulerian and Lagrangian variational principles, Lie-Poisson Hamiltonian formulations and natural analogues of the Kelvin circulation theorem, all derived in the stochastic setting. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s00332-020-09613-0 | JOURNAL OF NONLINEAR SCIENCE |
Keywords | DocType | Volume |
Stochastic geometric mechanics,Lie derivatives with respect to stochastic vector fields,Pull-back by smooth maps with stochastic time parameterization | Journal | 30 |
Issue | ISSN | Citations |
4 | 0938-8974 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aythami Bethencourt de Léon | 1 | 0 | 0.34 |
| Darryl D. Holm | 2 | 75 | 19.23 |
| Erwin Luesink | 3 | 0 | 0.34 |
| So Takao | 4 | 0 | 0.34 |