Onsager's ensemble for point vortices with random circulations on the sphere
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Publication:1937069
DOI10.1007/s10955-012-0552-4zbMath1263.82055OpenAlexW2079124735MaRDI QIDQ1937069
Yu Wang, Michael Karl-Heinz Kiessling
Publication date: 11 February 2013
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-012-0552-4
continuum limitvortex dynamicsturbulencepoint vorticesincompressible Euler fluid flow on \(S^2\)Joyce-Montgomery mean-field theoryMiller-Robert theoryOnsager's ensemblerandom circulations
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Statistical turbulence modeling (76F55) Vortex flows for incompressible inviscid fluids (76B47) Navier-Stokes equations (35Q30) Hydro- and aero-acoustics (76Q05) Statistical mechanics of liquids (82D15) Euler-Poisson-Darboux equations (35Q05) Statistical thermodynamics (82B30)
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Cites Work
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- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- Prescribing Gaussian curvature on \(S^ 2\)
- Vortex methods in two-dimensional fluid dynamics
- A note on classical ground state energies
- Kinetic theory of stellar systems, two-dimensional vortices and HMF model
- Prescribing Gaussian curvature on S 2
- Contour surgery: A topological reconnection scheme for extended integrations using contour dynamics
- Conformal deformations of metric on \({\mathcal S}\) 2
- On the vortex flow in bounded domains
- Classification of solutions of some nonlinear elliptic equations
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on \(S^ n\)
- Negative-temperature states and large-scale, long-lived vortices in two-dimensional turbulence
- Statistics of two-dimensional point vortices and high-energy vortex states
- A note on the eigenvalue density of random matrices
- Mathematical theory of incompressible nonviscous fluids
- Rotational symmetry of solutions of some nonlinear problems in statistical mechanics and in geometry
- The two-dimensional Coulomb gas on a sphere: Exact results
- The micro-canonical point vortex ensemble: Beyond equivalence
- The differential equation \(\Delta u=8\pi-8\pi he^u\) on a compact Riemann surface
- Uniqueness of solutions to the mean field equations for the spherical Onsager vortex
- The two-dimensional two-component plasma plus background on a sphere: Exact results.
- Statistical mechanics of vortices in an inviscid two-dimensional fluid
- On the positivity of the effective action in a theory of random surfaces
- Surfaces with prescribed Gauss curvature
- Large deviations of \(U\)-empirical measures in strong topologies and applications
- Negative temperature bounds for 2D vorticity compounds
- A special class of stationary flows for two-dimensional Euler equations: A statistical mechanics description. II
- Conformally invariant systems of nonlinear PDE of Liouville type
- Motion of three point vortices on a sphere
- Curvature functions for compact 2-manifolds
- Mean entropy of states in classical statistical mechanics
- On classical solutions of the two-dimensional non-stationary Euler equation
- The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
- On a class of elliptic problems in R2: symmetry and uniqueness results
- Onsager and the theory of hydrodynamic turbulence
- Symmetric Measures on Cartesian Products
- Nonergodicity of point vortices
- Convergence of the point vortex method for the 2-D euler equations
- Euler equations for incompressible ideal fluids
- THE VLASOV CONTINUUM LIMIT FOR THE CLASSICAL MICROCANONICAL ENSEMBLE
- Integrable and chaotic motions of four vortices. I. The case of identical vortices
- Vortex Methods. II: Higher Order Accuracy in Two and Three Dimensions
- Relaxation in two dimensions and the ‘‘sinh-Poisson’’ equation
- The roll-up of vorticity strips on the surface of a sphere
- Statistical mechanics of two-dimensional vortices in a bounded container
- Convergence of Vortex Methods for Euler's Equations
- Motion of three vortices
- Statistical equilibrium measures and coherent states in two-dimensional turbulence
- Wave and vortex dynamics on the surface of a sphere
- Statistical mechanics of classical particles with logarithmic interactions
- Statistical mechanics of Euler equations in two dimensions
- Relaxation towards a statistical equilibrium state in two-dimensional perfect fluid dynamics
- On finite amplitude oscillations in laminar mixing layers
- Probability
- Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
