On the geometry of the random representations for viscous fluids and a remarkable pure noise representation
From MaRDI portal
Publication:1396670
DOI10.1016/S0034-4877(02)80055-6zbMath1032.58020MaRDI QIDQ1396670
Publication date: 7 October 2003
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Brownian motionviscous fluidspassive transportLagrangian random flowsRiemann-Cartan-Weyl connections
Stochastic analysis applied to problems in fluid mechanics (76M35) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)
Related Items (6)
Energy inconsistency of Galerkin approximations for plane Couette flow ⋮ The entropy of Lagrange-Finsler spaces and Ricci flows ⋮ Stochastic variational formulations of fluid wave-current interaction ⋮ On the unification of geometric and random structures through torsion fields: Brownian motions, viscous and magneto-fluid-dynamics ⋮ Circulation and Energy Theorem Preserving Stochastic Fluids ⋮ Nonholonomic Ricci flows. II. Evolution equations and dynamics
Cites Work
- On the interaction of spin and torsion
- Solutions et mesures invariantes pour des équations d'évolution stochastiques du type Navier-Stokes. (Solutions and invariant measures for stochastic evolution equations of the Navier-Stokes type)
- Riemann-Cartan-Weyl geometries, quantum diffusions and the equivalence of the free Maxwell and Dirac-Hestenes equations
- Geometry and curvature of diffeomorphism groups with \(H^1\) metric and mean hydrodynamics
- A kinematic model for continuous distributions of dislocations
- Mathematical theory of incompressible nonviscous fluids
- Stochastic flows acting on Schwartz distributions
- Vorticity and turbulence
- Formulae for the derivatives of heat semigroups
- A probabilistic approach to the two-dimensional Navier-Stokes equations
- Random diffeomorphisms and integration of the classical Navier-Stokes equations
- Global solutions of two-dimensional Navier-Stokes and Euler equations
- Recent results on the short-time geometry of random heat kernels
- Riemann-Cartan-Weyl quantum geometry. I: Laplacians and supersymmetric systems
- Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
- Groups of diffeomorphisms and the motion of an incompressible fluid
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- Schrödinger semigroups
- Flows of stochastic dynamical systems: The functional analytic approach
- On stochastic and chaotic motion
- Kinematic dynamo problem in a linear velocity field
- A random-walk interpretation of the incompressible navier-stokes equations
- Wiener processes on manifolds of maps
- DIFFUSION PROCESSES AND RIEMANNIAN GEOMETRY
- Structure of the set of stationary solutions of the navier‐stokes equations
- Gaussian Measures on Function Spaces
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Turbulent Flows
- Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
- Martingale problem approach to the representations of the Navier-Stokes equations on smooth-boundary manifolds and semispace
- Applied Analysis of the Navier-Stokes Equations
- Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations
- Existence of Universal Connections
- Dynamical Systems Approach to Turbulence
- Turbulence in fluids.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On the geometry of the random representations for viscous fluids and a remarkable pure noise representation
