A stochastic description of solutions of the Navier-Stokes equation is investigated. These solutions are represented by laws of finite dimensional semi-martingales and characterized by a weak Euler- Lagrange condition. A least action principle, related to the relative entropy, is provided. Within this...
We briefly derive the infinite set of multi-point correlation equations based on the NavierStokes equations for an incompressible fluid. From this we reconsider the previously derived set of Lie symmetries, i.e. those directly induced by the ones from classical mechanics and also new symmetries. ...
First, scaling symmetries of space and time, both tracing back to the NavierStokes equations in the limit of large Reynolds numbers (or r路), give rise to a temporal power-law decay for the turbulent kinetic energy and at the same time an algebraic growth of the integral length scale at ...
Vortices and invariants surfaces generated by symmetries for the 3D Navier-Stokes equations We show that certain infinitesimal operators of the Lie-point symmetries of the incompressible 3D Navier–Stokes equations give rise to vortex solutions wi... V Grassi,RA Leo,G Soliani,... - 《Physica A-...
It is not know if solutions of the Navier–Stokes equations are smooth for all t>0, however Lions [18] showed a priori estimate(1.9)∫0T‖D0|tγu(t)‖L2(Rn)dt≤const.(J+J32),J=‖u0‖L2(Rn) where 0≤γ<1/4 and u is a weak solution in L2((0,T);L2(Rn)) associated to...
Nonclassical symmetry reductions of the three-dimensional incompressible Navier-Stokes equations The nonclassical reduction method as pioneered by Bluman and Cole (1025-42) is used to examine symmetries of the full three-dimensional, unsteady, incompre... DK Ludlow,PA Clarkson,AP Bassom - 《Journal...
Towards the conservation laws and Lie symmetries for the Khokhlov-Zabolotskaya equation in three dimensions - Chwdhury, Nasker - 1986 () Citation Context ...uation, which is a sound wave propagation model derived from the incompressible Navier-Stokes equa...
Symmetries of the Navier-Stokes equations and their applications for subgrid-models in large eddy simulation of turbulence. In Fundamental Problematic Issues in Turbulence; Gyr, A., Kinzelbach, W., Tsinober, A., Eds. Birkha¨user Verlag: Basel, Switzerland, 1999.M. Oberlack. Symmetries of ...
This chapter presents the application of the notion of kinematical symmetry to nonlinear equations, namely, to the Navier鈥揝tokes (NS) equation of hydrodynamics. The chapter also explains the determination of the largest kinematical symmetry group of the NS equation up to a stage where a ...
1.Queen Mary University of London Centre for Research in String Theory School of Physics Mile End Road London E1 4NS U.K.Springer Berlin HeidelbergJournal of High Energy PhysicsBerkeley J,Berman D S.The Navier-Stokes equation and solution generating symmetries from holography [OL].(http://ar...