Vorticity and turbulence
From MaRDI portal
Publication:1329897
DOI10.1007/978-1-4419-8728-0zbMath0795.76002OpenAlexW4205293050MaRDI QIDQ1329897
Publication date: 4 August 1994
Published in: Applied Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4419-8728-0
vortex dynamicsspectrumpercolationrenormalizationKolmogorov's theoryfractal geometryFourier theoryhomogeneous turbulencepolymer statisticsvortex statistics
Random fields; image analysis (62M40) Brownian motion (60J65) Turbulence (76Fxx) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items (85)
A trajectorial proof of the vortex method for the two-dimensional Navier-Stokes equation. ⋮ Multipole vortex blobs (MVB): symplectic geometry and dynamics ⋮ Gevrey stability of Prandtl expansions for 2-dimensional Navier-Stokes flows ⋮ The point vortex model for the Euler equation ⋮ Vortex dynamics of the full time‐dependent Ginzburg‐Landau equations ⋮ Sign-changing solutions for the one-dimensional non-local sinh-Poisson equation ⋮ SOME NON-PERTURBATIVE PATH INTEGRALS STUDIES IN STATISTICAL BURGER TURBULENCE: STRINGS AND STOCHASTIC INSTANTONS CONFIGURATIONS ⋮ Complementary modes of impulse generation for flow past a three-dimensional obstacle ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Two point third order correlation functions for quasigeostrophic turbulence: Kolmogorov–Landau approach ⋮ Vortex filament simulation of the turbulent coflowing jet ⋮ Conditions implying regularity of the three dimensional Navier-Stokes equation. ⋮ Symmetries and conservation laws of two-dimensional hydrodynamics ⋮ Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria ⋮ A martingale approach to homogenization of unbounded random flows ⋮ Additional invariants and statistical equilibria for the 2D Euler equations on a spherical domain ⋮ Mean Field Equations for the Equilibrium Turbulence and Toda Systems on Connected Finite Graphs ⋮ On the global evolution of vortex filaments, blobs, and small loops in 3D ideal flows ⋮ A general existence result for the Toda system on compact surfaces ⋮ Minimal geodesics on groups of volume-preserving maps and generalized solutions of the Euler equations ⋮ On the geometry of the random representations for viscous fluids and a remarkable pure noise representation ⋮ Coherent vortex structures and 3D enstrophy cascade ⋮ Analysis of fluctuations induced by a scale hierarchy of interacting particles ⋮ Noise based on vortex structures in 2D and 3D ⋮ Turbulence via intermolecular potential: uncovering the origin ⋮ Multiple blow-up phenomena for the sinh-Poisson equation ⋮ An efficient second order in time scheme for approximating long time statistical properties of the two-dimensional Navier-Stokes equations ⋮ An Eulerian-Lagrangian approach for incompressible fluids: Local theory ⋮ Stochastic vortex method for forced three-dimensional Navier-Stokes equations and pathwise convergence rate ⋮ Uniform Approximation of 2 Dimensional Navier--Stokes Equation by Stochastic Interacting Particle Systems ⋮ How do singularities move in potential flow? ⋮ Relative equilibria of point vortices on the sphere ⋮ Tracking vortex surfaces frozen in the virtual velocity in non-ideal flows ⋮ Dispersion of mass by two-dimensional homogeneous and incompressible Çinlar flows ⋮ Probabilistic models for vortex filaments based on fractional Brownian motion. ⋮ Stochastic calculus with respect to fractional Brownian motion ⋮ The blow up analysis of solutions of the elliptic sinh-Gordon equation ⋮ The ℎ-principle and the equations of fluid dynamics ⋮ Stochastic differential equation models of vortex merging and reconnection ⋮ Statistical mechanics of strong and weak point vortices in a cylinder ⋮ Numerical Simulations of Two Coaxial Vortex Rings Head-on Collision ⋮ Existence of solution for mean field equation for the equilibrium turbulence ⋮ On a model for the Navier-Stokes equations using magnetization variables ⋮ Energy cascades in physical scales of 3D incompressible magnetohydrodynamic turbulence ⋮ Equilibrium statistical theory for nearly parallel vortex filaments ⋮ Stochastic differential equations in fluid dynamics ⋮ A microscopic derivation of the equilibrium energy density spectrum for barotropic turbulence on a sphere ⋮ The Euler equations as a differential inclusion ⋮ Towards an impulse-based Lagrangian model of boundary layer turbulence ⋮ Perturbation and initial Reynolds number effects on transition attainment of supercritical, binary, temporal mixing layers ⋮ LIMIT BEHAVIOUR OF A DENSE COLLECTION OF VORTEX FILAMENTS ⋮ Partial regularity for the stochastic Navier-Stokes equations ⋮ \(N\)-vortex equilibria for ideal fluids in bounded planar domains and new nodal solutions of the sinh-Poisson and the Lane-Emden-Fowler equations ⋮ Geometric depletion of vortex stretch in 3d viscous incompressible flow ⋮ A probabilistic interpretation and stochastic particle approximations of the 3-dimensional Navier-Stokes equations ⋮ The theory of large deviations: from Boltzmann's 1877 calculation to equilibrium macrostates in 2D turbulence ⋮ Vorticity dynamics and turbulence models for Large-Eddy Simulations ⋮ The \(n\)-vortex problem on a Riemann sphere ⋮ Statistical equilibrium measures and coherent states in two-dimensional turbulence ⋮ Active Near-Wall Flow Control via a Cross Groove with Suction ⋮ On the topological degree of the mean field equation with two parameters ⋮ The parametrix method approach to diffusions in a turbulent Gaussian environment ⋮ Random symplectic geometry and the realizations of the random representations of the Navier-Stokes equations by ordinary differential equations ⋮ Comment on the paper ``On the scaling of three-dimensional homogeneous and isotropic turbulence by Benzi et al ⋮ Averaged equations of ideal fluid turbulence ⋮ Equilibrium states for quasigeostrophic flows with random topography ⋮ EXISTENCE RESULT FOR MEAN FIELD EQUATION OF THE EQUILIBRIUM TURBULENCE IN THE SUPER CRITICAL CASE ⋮ Large-eddy simulation of the compressible flow past a wavy cylinder ⋮ Spreading of superfluid vorticity clouds in normal-fluid turbulence ⋮ Construction of nodal bubbling solutions for the weighted sinh-Poisson equation ⋮ Partial regularity of a nematic liquid crystal model with kinematic transport effects ⋮ Is concentrated vorticity that important? ⋮ McKean-Vlasov type stochastic differential equations arising from the random vortex method ⋮ Analysis of Kosterlitz-Thouless transition models ⋮ Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures ⋮ Kubo combinatorics for turbulence scaling laws ⋮ The evolution of a random vortex filament ⋮ Velocity correlation considered as a ‘scale average’ in a hierarchical particle model of turbulence: Part I. Unbounded hierarchy ⋮ A variational formulation for the Navier-Stokes equation ⋮ Simulation of homogeneous and incompressible Çinlar flows ⋮ Exact solutions of an energy-enstrophy theory for the barotropic vorticity equation on a rotating sphere ⋮ Forward-backward stochastic differential systems associated to Navier-Stokes equations in the whole space ⋮ Random diffeomorphisms and integration of the classical Navier-Stokes equations ⋮ Numerical algorithms for stationary statistical properties of dissipative dynamical systems ⋮ Probabilistic Models of Vortex Filaments
This page was built for publication: Vorticity and turbulence
