Paper Citation Record · LEDGER

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence

As of 22 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.22105.

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pith.paper-citation-record.v1
2607.22105 v1

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measured 45 of 45 reference resolution

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Outbound references

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This paper cites an unresolved cited work.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

Reference 1

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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This paper cites , The Decay of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of Aeronautical Science, 18, pp.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , The Decay of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of Aeronautical Science, 18, pp

Reference 5

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

Reference 6

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This paper cites , Zur Deutung der dreifachen Geschwindigkeitskorre- lationen der isotropen Turbulenz, Dtsch.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Zur Deutung der dreifachen Geschwindigkeitskorre- lationen der isotropen Turbulenz, Dtsch

Reference 7

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Observation 50b64466-9380-4933-91cb-a8b616f020e0 · outbound

This paper cites , Isotropic turbulence in the ﬁeld of turbulent viscosity, JETP Lett., 8, 406–411, (1969).

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Isotropic turbulence in the ﬁeld of turbulent viscosity, JETP Lett., 8, 406–411, (1969)

Reference 8

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This paper cites , Closure of the two-point correlation equa- tion as a basis for Reynolds stress models, Appl.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Closure of the two-point correlation equa- tion as a basis for Reynolds stress models, Appl

Reference 9

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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This paper cites A., Mellor G.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence A., Mellor G

Reference 11

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence and Memari, S

Reference 13

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Observation 60df62b3-1107-44d8-8de6-4ae14b5f40b9 · outbound

This paper cites , Lyapunov Analysis for Fully Developed Homogeneous Isotropic Turbulence, Theoretical and Computational Fluid Dynamics , (2011), DOI: 10.1007/s00162-010-0211-9.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Lyapunov Analysis for Fully Developed Homogeneous Isotropic Turbulence, Theoretical and Computational Fluid Dynamics , (2011), DOI: 10.1007/s00162-010-0211-9

Reference 15

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This paper cites , Finite Scale Lyapunov Analysis of Temperature Fluc- tuations in Homogeneous Isotropic Turbulence, Appl.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Finite Scale Lyapunov Analysis of Temperature Fluc- tuations in Homogeneous Isotropic Turbulence, Appl

Reference 16

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This paper cites , von K´ arm´ an–Howarth and Corrsin equations clo- sure based on Lagrangian description of the ﬂuid motion, An- nals of Physics , vol.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , von K´ arm´ an–Howarth and Corrsin equations clo- sure based on Lagrangian description of the ﬂuid motion, An- nals of Physics , vol

Reference 17

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This paper cites , Liouville spectral gap and bifurcation–driven Lagrangian-–Eulerian decoupling with nondiﬀusive turbulence clo- 60 sures Transport Phenomena 1, no.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Liouville spectral gap and bifurcation–driven Lagrangian-–Eulerian decoupling with nondiﬀusive turbulence clo- 60 sures Transport Phenomena 1, no

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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This paper cites , Quantitative evaluation of forward and backward scattering in isotropic turbulence via H¨ anggi–Klimontovich and Itˆ o stochastic processes Transport Phenomena 1, no.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Quantitative evaluation of forward and backward scattering in isotropic turbulence via H¨ anggi–Klimontovich and Itˆ o stochastic processes Transport Phenomena 1, no

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence P., Chen, S., Brasseur, J

Reference 21

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence and Uno, A

Reference 22

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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This paper cites , On sta- tistical correlations between velocity increments and locally averag ed dissipation in homogeneous turbulence, Phys.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , On sta- tistical correlations between velocity increments and locally averag ed dissipation in homogeneous turbulence, Phys

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Numerical simulation of three- dimensional homogeneous isotropic turbulence., Phys

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Orszag S.A., Yakhot V

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This paper cites , Eﬀects of the similarity model in ﬁnite-diﬀerence LES of isotropic turbulence using a lagrangian dyna mic mixed model, Flow Turbul.

Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Eﬀects of the similarity model in ﬁnite-diﬀerence LES of isotropic turbulence using a lagrangian dyna mic mixed model, Flow Turbul

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , On the representation of backscat- ter in dynamic localization models, Phys

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Decaying turbulence in an active–gridgenerated ﬂow and comparisons with large–eddy simu la- tion., J

Reference 31

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence K., Howells I

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence H., Schwarz W

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Passive scalar statistics in high- P´ eclet-number grid turbulence, Journal of Fluid Mechanics , 358, (1998), pp

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence M., Rogallo R

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence A., Sreenivasan K

Reference 38

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence , Introduction to nonlinear science , Cambridge University Press, (1995)

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Unresolved cited work

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence The Asymptotic State of Decaying Turbulence

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Numerical Validation of Lyapunov-Liouville Theory and Non-Diffusive Closures in Decaying Isotropic Fluid and Scalar Turbulence Geometric Solution of Turbulence as Diffusion in Loop Space

Reference 45

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