Lagrangian averaged stochastic advection by Lie transport for fluids
DOI10.1007/s10955-020-02493-4zbMath1471.76024arXiv1908.11481OpenAlexW3102844667MaRDI QIDQ781808
Theodore D. Drivas, Darryl D. Holm, James-Michael Leahy
Publication date: 20 July 2020
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.11481
Navier-Stokes equationsnon-localityKelvin circulation theoremLie-Laplacian dissipationwhite-noise random transport
Stochastic analysis applied to problems in fluid mechanics (76M35) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Statistical solutions of Navier-Stokes and related equations (76D06)
Related Items (9)
Cites Work
- On some properties of space inverses of stochastic flows
- On classical solutions of linear stochastic integro-differential equations
- A relatively short proof of Itô's formula for SPDEs and its applications
- On degenerate linear stochastic evolution equations driven by jump processes
- The interaction between noise and transport mechanisms in PDEs
- Stochastic partial differential equations on manifolds. II: Nonlinear filtering
- Stochastic geometric models with non-stationary spatial correlations in Lagrangian fluid flows
- Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
- Itô's formula for the \(L _{p }\)-norm of stochastic \({W^{1}_{p}}\)-valued processes
- The Camassa-Holm equations and turbulence
- Poisson brackets and clebsch representations for magnetohydrodynamics, multifluid plasmas, and elasticity
- Characteristics of degenerate second-order parabolic Ito equations
- Stochastic partial differential equations on manifolds. I
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Slow modes in passive advection
- Noise and dissipation on coadjoint orbits
- Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
- Phase transition in the passive scalar advection
- Wave breaking for the stochastic Camassa-Holm equation
- Solution properties of a 3D stochastic Euler fluid equation
- Implications of Kunita-Itô-Wentzell formula for \(k\)-forms in stochastic fluid dynamics
- The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions
- On the solvability of degenerate stochastic partial differential equations in Sobolev spaces
- Spontaneous stochasticity and anomalous dissipation for Burgers equation
- A concise course on stochastic partial differential equations
- Momentum maps and stochastic Clebsch action principles
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Turbulent cascade direction and Lagrangian time-asymmetry
- Nonlinear stability of fluid and plasma equilibria
- Vorticity and Incompressible Flow
- Particles and fields in fluid turbulence
- The helicity and vorticity of liquid-crystal flows
- Euler-Poincaré Dynamics of Perfect Complex Fluids
- The Three-Dimensional Navier–Stokes Equations
- A connection between the Camassa–Holm equations and turbulent flows in channels and pipes
- An integrable shallow water equation with peaked solitons
- Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow
- Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics
- Stochastic Evolution Systems
- Geometric formulation of the Cauchy invariants for incompressible Euler flow in flat and curved spaces
- A Hamiltonian mean field system for the Navier–Stokes equation
- Numerically Modeling Stochastic Lie Transport in Fluid Dynamics
- Stochastic Navier--Stokes Equations for Turbulent Flows
- A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part I. Flows with no bounding walls
- A Lagrangian fluctuation–dissipation relation for scalar turbulence. Part II. Wall-bounded flows
- Variational principles for stochastic fluid dynamics
- A stochastic Lagrangian representation of the three‐dimensional incompressible Navier‐Stokes equations
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- Riemannian geometry and geometric analysis
- The Navier-Stokes-alpha model of fluid turbulence
- The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
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