von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem | Paper Citation Record

Observation f09992f8-7c34-4ea8-9d13-60e4399a90bf · outbound

This paper cites , On the Statistical Theory of Isotropic Turbulence., Proc.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On the Statistical Theory of Isotropic Turbulence., Proc

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Observation 16f265f3-5f63-442c-b711-7d5e787ae605 · outbound

This paper cites , The Theory of Homogeneous Turbulence.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , The Theory of Homogeneous Turbulence

Reference 2

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Observation 42086118-210d-410e-8578-e742e1f5dc95 · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , The Decay of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of Aeronautical Science, 18, pp

Reference 3

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Observation 58b8d038-2acc-4cf1-b535-c91fb44e95a3 · outbound

This paper cites , On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of Applied Physics , 22, pp.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence, Journal of Applied Physics , 22, pp

Reference 4

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Reference 5

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Observation 036db462-b258-4102-a3cd-774d478e670d · outbound

This paper cites , On the distribution of energy in the spectrum of turbulent ﬂow., Dokl.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On the distribution of energy in the spectrum of turbulent ﬂow., Dokl

Reference 6

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Observation 5adf95fd-6a6a-4481-98ed-a9b48a46cf9f · outbound

This paper cites , Zur statistischen Theorie der Turbulenz, Z.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Zur statistischen Theorie der Turbulenz, Z

Reference 7

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Observation 43f0b5cd-35e2-4e0e-b1ff-746ff27abb99 · outbound

This paper cites Aero- naut.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Aero- naut

Reference 8

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Reference 9

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Reference 10

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Observation 6a9ed09a-86e0-46c1-b16a-92d42f51184f · outbound

This paper cites , Diﬀusion Approximation to Inertial Energy Transfer in Isotropic Turbulence, Phys.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Diﬀusion Approximation to Inertial Energy Transfer in Isotropic Turbulence, Phys

Reference 11

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Observation 9fd6a03f-e9b2-43f1-92bd-decf86ffbcf2 · outbound

This paper cites , Symmetries and the approach to statistical equilibrium in isotropic turbulence, Physics of Fluids , 31, 2395–2397, (1998).

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Symmetries and the approach to statistical equilibrium in isotropic turbulence, Physics of Fluids , 31, 2395–2397, (1998)

Reference 12

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Observation a5c55cc5-c809-42a7-9454-7b510198663d · outbound

This paper cites and Nazarenko S.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem and Nazarenko S

Reference 13

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Observation d6280d2f-9211-4b3a-a71c-d94dbb4e0de9 · outbound

This paper cites , Reassessment of the classical turbilence closures: the Leith diﬀusion model., J.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Reassessment of the classical turbilence closures: the Leith diﬀusion model., J

Reference 14

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Observation 0dd45b1a-ad11-4233-b7b4-20fa6e01970c · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Zur Deutung der dreifachen Geschwindigkeitskorre- lationen der isotropen Turbulenz, Dtsch

Reference 15

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Observation 92f65eb5-f6fb-42de-bd79-36c2e9f854ad · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Isotropic turbulence in the ﬁeld of turbulent viscosity, JETP Lett., 8, 406–411, (1969)

Reference 16

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Observation f2860ab7-7137-44c8-8654-70fd9602fc36 · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Closure of the two-point correlation equa- tion as a basis for Reynolds stress models, Appl

Reference 17

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von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 18

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Observation cbb22824-d57d-41f8-a19a-694051bad132 · outbound

This paper cites , Group analysis of the von K´ arm´ an- Howarth equation.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Group analysis of the von K´ arm´ an- Howarth equation

Reference 19

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Observation e9dc9432-0d22-48ad-9806-7b59f26919c0 · outbound

This paper cites , Group analysis of the von K´ arm´ an- Howarth equation.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Group analysis of the von K´ arm´ an- Howarth equation

Reference 20

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Observation c340d10d-cd70-4cc0-abb5-4b7b57b864a5 · outbound

This paper cites A., Mellor G.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A., Mellor G

Reference 21

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Observation ee53447f-6ddb-484f-a11e-4ae72a35fd76 · outbound

This paper cites , On a model equation for probability density in semi- empirical turbulence transfer theory.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On a model equation for probability density in semi- empirical turbulence transfer theory

Reference 22

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Observation fd8d3fdc-c947-4782-a038-61782de6e6ad · outbound

This paper cites A Chorin-Type Formula for Solu- tions to a Closure Model for the von K´ arm´ an-Howarth Equation, J.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A Chorin-Type Formula for Solu- tions to a Closure Model for the von K´ arm´ an-Howarth Equation, J

Reference 23

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Observation cf5878c8-876e-4c81-9fb0-340f9d0b2aa0 · outbound

This paper cites A Geometric Interpretation of the Second-Order Structure Function Arising in Turbulence, Mathematical Physics, Analysis and Geometry , 12, 1, 1-18, (2009).

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A Geometric Interpretation of the Second-Order Structure Function Arising in Turbulence, Mathematical Physics, Analysis and Geometry , 12, 1, 1-18, (2009)

Reference 24

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Observation 0a0bd77b-f164-4092-a8db-632517e56d8a · outbound

This paper cites A., Danaila L., and Djenidi L.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A., Danaila L., and Djenidi L

Reference 25

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Reference 26

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Reference 27

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Observation 95c4cfd9-2717-4452-a405-16b3735eda67 · outbound

This paper cites A., Smalley R.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A., Smalley R

Reference 28

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Observation 177dbb63-7f3c-4cd4-8204-a64ff6283752 · 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.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Lyapunov Analysis for Fully Developed Homogeneous Isotropic Turbulence, Theoretical and Computational Fluid Dynamics , (2011), DOI: 10.1007/s00162-010-0211-9

Reference 29

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Observation 499c5c42-a945-4af3-87a9-34ca91fee27d · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Finite Scale Lyapunov Analysis of Temperature Fluc- tuations in Homogeneous Isotropic Turbulence, Appl

Reference 30

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Observation e3fff4d2-6538-4078-9906-5683d4d3865e · outbound

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.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , von K´ arm´ an–Howarth and Corrsin equations clo- sure based on Lagrangian description of the ﬂuid motion, An- nals of Physics , vol

Reference 31

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Observation f25eee7f-ddd2-45d7-bf16-e3f4feed93b5 · outbound

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

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On sta- tistical correlations between velocity increments and locally averag ed dissipation in homogeneous turbulence, Phys

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Observation 09ca0dd4-438a-4758-ac7e-c3171d71a01f · outbound

This paper cites , Numerical simulation of three- dimensional homogeneous isotropic turbulence., Phys.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Numerical simulation of three- dimensional homogeneous isotropic turbulence., Phys

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Observation a8fa04b4-51d3-4a31-b245-acc5b3a9d05d · outbound

This paper cites Orszag S.A., Yakhot V.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem 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.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , 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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Observation 4231cbed-d70a-42f0-8538-fc9a16698d5f · outbound

This paper cites , On the representation of backscat- ter in dynamic localization models, Phys.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , On the representation of backscat- ter in dynamic localization models, Phys

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Observation 8a4d6504-ac84-4906-93f6-a9683e6cfebc · outbound

This paper cites , Decaying turbulence in an active–gridgenerated ﬂow and comparisons with large–eddy simu la- tion., J.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Decaying turbulence in an active–gridgenerated ﬂow and comparisons with large–eddy simu la- tion., J

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Reference 38

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Observation 51ba3c31-aea2-4859-b1c8-e100ea9a830a · outbound

This paper cites K., Howells I.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem K., Howells I

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Observation 49701c5e-07df-4c43-97a2-6bf1c270a0cc · outbound

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Reference 40

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Observation 81100d9a-47ae-494a-a7b6-2225932aef7b · outbound

This paper cites H., Schwarz W.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem H., Schwarz W

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.304118Z

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Observation 40c9a7f6-073e-4781-ac61-4131f6ef149c · outbound

This paper cites , Passive scalar statistics in high- P´ eclet-number grid turbulence, Journal of Fluid Mechanics , 358, (1998), pp.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Passive scalar statistics in high- P´ eclet-number grid turbulence, Journal of Fluid Mechanics , 358, (1998), pp

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Observation dff16a43-71d1-41c2-9326-0d398b5a0402 · outbound

This paper cites M., Rogallo R.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem M., Rogallo R

Reference 43

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Observation bf0d3e40-68e2-4a11-b297-14a9798f8fb0 · outbound

This paper cites A., Sreenivasan K.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem A., Sreenivasan K

Reference 44

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Observation 965b59ac-e466-4403-bf1a-c8e2708bddee · outbound

This paper cites , Statistical Lyapunov theory based on bifurcation anal- ysis of energy cascade in isotropic homogeneous turbulence: a phy sical– mathematical review, Entropy, vol.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Statistical Lyapunov theory based on bifurcation anal- ysis of energy cascade in isotropic homogeneous turbulence: a phy sical– mathematical review, Entropy, vol

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Reference 46

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von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 47

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Observation 3c5a1e55-e773-4d81-a403-dc5d1bf79b44 · outbound

This paper cites An Informal Conceptual Introduction to Turbulence: Second Edition of An Informal Introduction to Turbulence , Springer Science & Business Media, (2009).

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem An Informal Conceptual Introduction to Turbulence: Second Edition of An Informal Introduction to Turbulence , Springer Science & Business Media, (2009)

Reference 48

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Observation 2a8a8e96-bcfd-4cb9-bae8-353cb9fc246d · outbound

This paper cites , Commun.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Commun

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Observation 72238ec8-2270-4f57-ae6b-6a47543e003a · outbound

This paper cites , Roads to turbulence in dissipative dynamical systems Rev.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Roads to turbulence in dissipative dynamical systems Rev

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Observation e201657b-7006-48de-a915-5f64ecab5045 · outbound

This paper cites , Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bbd804c9-6b31-41e4-994f-4c6678e852f7 · outbound

This paper cites , Bifurcations analysis of turbulent energy cascade, Annals of Physics , (2015), DOI: 10.1016/j.aop.2015.01.017.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Bifurcations analysis of turbulent energy cascade, Annals of Physics , (2015), DOI: 10.1016/j.aop.2015.01.017

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-14T11:34:52.980644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2847248-b79f-4820-b970-84d2daf5c1aa · outbound

This paper cites an unresolved cited work.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 53

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:34:53.241287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 432e90e5-8f31-4611-9553-c038ada8c7f6 · outbound

This paper cites an unresolved cited work.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 54

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:34:53.232344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c17fe9b2-2d60-4e6e-90ec-e23382197d1c · outbound

This paper cites , Introduction to nonlinear science , Cambridge University Press, (1995).

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Introduction to nonlinear science , Cambridge University Press, (1995)

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-14T11:34:52.989850Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5317e03-0efc-40af-b5af-0998d581e769 · outbound

This paper cites , 10.1002/mma.5886.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , 10.1002/mma.5886

Reference 56

Resolution: verified exact; doi, observed 2026-08-14T11:34:53.069300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 75065e16-7179-4fd5-aaa9-a539763ef5c4 · outbound

This paper cites , Statistics of ﬁnite scale local Lyapunov exponents in fully developed homogeneous isotropic turbulence, Advances in Math- ematical Physics , vol.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Statistics of ﬁnite scale local Lyapunov exponents in fully developed homogeneous isotropic turbulence, Advances in Math- ematical Physics , vol

Reference 57

Resolution: verified exact; doi, observed 2026-08-14T11:34:53.058776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4cba3f7f-8f92-4c85-8eaa-ada6ec8abfc6 · outbound

This paper cites , Geometric Measure Theory , Springer–Verlag, 1969.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , Geometric Measure Theory , Springer–Verlag, 1969

Reference 58

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.217837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1db4e81d-d85e-4aaf-aaf4-4f56cb8c7a9c · outbound

This paper cites an unresolved cited work.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 59

Resolution: malformed identifier; no resolver link, observed 2026-08-14T11:34:53.002979Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 922c74ea-ef8c-4246-bd81-aee97471f6d4 · outbound

This paper cites , The Principles of Quantum Mechanics (4th ed.), Oxford at the Clarendon Press, ISBN 978-0-19-852011-5.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , The Principles of Quantum Mechanics (4th ed.), Oxford at the Clarendon Press, ISBN 978-0-19-852011-5

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.208034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8b2c2618-d878-423d-95af-59fe91c88193 · outbound

This paper cites , The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem , The Fourier Transform and Its Applications (2nd ed.), McGraw-Hill

Reference 61

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.198451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a42842b7-b434-4b72-9d88-ed7e6883d21c · outbound

This paper cites B., Weber H.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem B., Weber H

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.188922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d6621dd0-4e03-4c6d-a34a-b8ad9b9543b1 · outbound

This paper cites D., Lifshitz, M , Fluid Mechanics.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem D., Lifshitz, M , Fluid Mechanics

Reference 63

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.179959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 28f883b8-3eeb-455c-808d-49559a2a970f · outbound

This paper cites an unresolved cited work.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem Unresolved cited work

Reference 64

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:34:53.170920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 98a47f92-4a3d-466a-b5bf-b8142991cb59 · outbound

This paper cites K., & Proudman, I.

von K\'arm\'an--Howarth and Corrsin equations closures through Liouville theorem K., & Proudman, I

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:34:53.161163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Reference resolution

Outbound references

Pith citing papers