Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
From MaRDI portal
Publication:4557158
DOI10.1098/rspa.2017.0388zbMath1402.76101arXiv1706.00287OpenAlexW2621034233WikidataQ55493766 ScholiaQ55493766MaRDI QIDQ4557158
Georg A. Gottwald, Darryl D. Holm, Colin John Cotter
Publication date: 29 November 2018
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1706.00287
stochastic processeshomogenizationgeometric mechanicsstochastic fluid modelsmulti-scale fluid dynamicssymmetry reduced variational principles
Related Items (32)
Stochastic parametrization of the Richardson triple ⋮ Statistical properties of an enstrophy conserving finite element discretisation for the stochastic quasi-geostrophic equation ⋮ An eddifying Stommel model: fast eddy effects in a two-box ocean ⋮ Coarse large-eddy simulations in a transitional wake flow with flow models under location uncertainty ⋮ Dynamics of non-holonomic systems with stochastic transport ⋮ New variational and multisymplectic formulations of the Euler–Poincaré equation on the Virasoro–Bott group using the inverse map ⋮ Predicting uncertainty in geometric fluid mechanics ⋮ On the Navier-Stokes equation perturbed by rough transport noise ⋮ Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics ⋮ Martingale solutions in stochastic fluid-structure interaction ⋮ Variational Principles on Geometric Rough Paths and the Lévy Area Correction ⋮ Global existence and non-uniqueness of 3D Euler equations perturbed by transport noise ⋮ Noise and dissipation on coadjoint orbits ⋮ A Hamiltonian mean field system for the Navier–Stokes equation ⋮ Numerically Modeling Stochastic Lie Transport in Fluid Dynamics ⋮ A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation ⋮ On a rough perturbation of the Navier-Stokes system and its vorticity formulation ⋮ Stochastic modelling in fluid dynamics: Itô versus Stratonovich ⋮ Solution properties of a 3D stochastic Euler fluid equation ⋮ Stochastic wave-current interaction in thermal shallow water dynamics ⋮ 2D Euler equations with Stratonovich transport noise as a large-scale stochastic model reduction ⋮ Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows ⋮ Stochastic closures for wave-current interaction dynamics ⋮ The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions ⋮ Circulation and Energy Theorem Preserving Stochastic Fluids ⋮ A local-in-time theory for singular SDEs with applications to fluid models with transport noise ⋮ Lagrangian averaged stochastic advection by Lie transport for fluids ⋮ Lyapunov exponents of two stochastic Lorenz 63 systems ⋮ Stochastic effects of waves on currents in the ocean mixed layer ⋮ Stochastic variational principles for dissipative equations with advected quantities ⋮ Stochastic geometric mechanics with diffeomorphisms ⋮ Deterministic and stochastic Euler-Boussinesq convection
Cites Work
- Unnamed Item
- Almost sure invariance principle for nonuniformly hyperbolic systems
- A vector-valued almost sure invariance principle for hyperbolic dynamical systems
- Some probabilistic problems and methods in singular perturbations
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Deterministic homogenization for fast-slow systems with chaotic noise
- A limit theorem for perturbed operator semigroups with applications to random evolutions
- A note on diffusion limits of chaotic skew-product flows
- Large deviations for nonuniformly hyperbolic systems
- An exact theory of nonlinear waves on a Lagrangian-mean flow
- Extracting macroscopic dynamics: model problems and algorithms
- Asymptotic theory of mixing stochastic ordinary differential equations
- A Huygens principle for diffusion and anomalous diffusion in spatially extended systems
- Homogenization for deterministic maps and multiplicative noise
- Variational principles for stochastic fluid dynamics
- An alternative view of generalized Lagrangian mean theory
- Waves and Mean Flows
- Multiscale Methods
- On Stochastic Processes Defined by Differential Equations with a Small Parameter
- Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics
- Fluid flow dynamics under location uncertainty
- Geophysical flows under location uncertainty, Part I Random transport and general models
- Geophysical flows under location uncertainty, Part II Quasi-geostrophy and efficient ensemble spreading
- Geophysical flows under location uncertainty, Part III SQG and frontal dynamics under strong turbulence conditions
This page was built for publication: Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
