Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T13:28:25.807376Z
Paper Citation Record · LEDGER
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches
As of 12 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2411.16324.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact1
- verified fuzzy22
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a01fa9c9-d81f-4842-bb14-9e514a02e042 · outbound
This paper cites Continuous data assimilation for the three-dimensional Navier-Stokes-α model, Asymp- totic Analysis, v.97, 139-164, 2016.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation for the three-dimensional Navier-Stokes-α model, Asymp- totic Analysis, v.97, 139-164, 2016
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.801125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3789a431-fc30-4a2b-abf7-8f5c1e877f15 · outbound
This paper cites Continuous data assimilation algo- rithm for simplified Bardina model, Evolution Equations and Control Theory, v.7, 33-52, 2018.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation algo- rithm for simplified Bardina model, Evolution Equations and Control Theory, v.7, 33-52, 2018
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.785945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d0fac063-23d8-4fb7-b79b-19eee2d4b039 · outbound
This paper cites Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Parameter Analysis in Continuous Data Assimilation for Various Turbulence Models
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T13:28:25.873220Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 793423bb-0e0b-4bbf-9c73-4023ebbded1b · outbound
This paper cites Continuous data assimilation using gen- eral interpolant observables, Journal of Nonlinear Science, 24, 277-304, 2014.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation using gen- eral interpolant observables, Journal of Nonlinear Science, 24, 277-304, 2014
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.756485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7e6c470e-09ab-4f46-b236-c3ee50bebd48 · outbound
This paper cites Continuous data assimilation with stochastically noisy data, Nonlinearity, 28, p.729, 2015.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation with stochastically noisy data, Nonlinearity, 28, p.729, 2015
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.667751Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b0ed6ca-e288-4902-84fd-0eeae7ade793 · outbound
This paper cites On the Clark-α model of turbulence: global regularity and long-time dynamics, Journal of Turbulence, 6, N20, 2005.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches On the Clark-α model of turbulence: global regularity and long-time dynamics, Journal of Turbulence, 6, N20, 2005
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.627188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 22731e4f-6d49-43f7-b56f-f6f582870956 · outbound
This paper cites Parameter recovery for the 2 dimen- sional Navier-Stokes equations via continuous data assimilation, SIAM Journal on Scientific Computing, v.42, A250-A270, 2020.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Parameter recovery for the 2 dimen- sional Navier-Stokes equations via continuous data assimilation, SIAM Journal on Scientific Computing, v.42, A250-A270, 2020
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.612842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a843eb7d-5f95-47fb-8897-c96d508a3241 · outbound
This paper cites On a Leray–α model of turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461, 629-649, 2005.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches On a Leray–α model of turbulence, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 461, 629-649, 2005
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.598388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 832ad782-e9cd-4b08-9b28-569126841148 · outbound
This paper cites an unresolved cited work.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:28:26.584086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2fdba51f-f505-455a-b691-4d1d636327a1 · outbound
This paper cites Continuous data assimilation for the 2D Bénard convection through velocity measurements alone, Physica D: Non- linear Phenomena, v.303, 59-66, 2015.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation for the 2D Bénard convection through velocity measurements alone, Physica D: Non- linear Phenomena, v.303, 59-66, 2015
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.568934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4df52a00-2437-4a80-aadf-6fab121f28b2 · outbound
This paper cites an unresolved cited work.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:28:26.501492Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 84f3165c-b988-4d08-95e7-5199be33c103 · outbound
This paper cites Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature mea- surements, JournalofMathematicalAnalysisandApplications, v.438, 492-506, 2016.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Data assimilation algorithm for 3D Bénard convection in porous media employing only temperature mea- surements, JournalofMathematicalAnalysisandApplications, v.438, 492-506, 2016
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.422946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6bd498f3-c43d-49e6-860a-2d4e9b815903 · outbound
This paper cites an unresolved cited work.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:28:26.389387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9e5918bc-a1e0-4640-af08-eafc2bacbe6a · outbound
This paper cites an unresolved cited work.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T13:28:26.374088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6c6cae97-0016-469c-a515-34b6e9bd8da7 · outbound
This paper cites Navier-Stokes Equations and Turbulence, Cambridge University Press, 2001.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Navier-Stokes Equations and Turbulence, Cambridge University Press, 2001
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.359625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f2d5505c-e0d1-4092-8781-d9679541dc3b · outbound
This paper cites Partial Differential Equations, Dover Publications, Inc., New York, 2008.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Partial Differential Equations, Dover Publications, Inc., New York, 2008
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.344369Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a32744d0-8b44-4889-bcbc-32d69c09986d · outbound
This paper cites An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Steady-State Problems, Springer New York, 2011.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches An Introduction to the Mathematical Theory of the Navier-Stokes Equations, Steady-State Problems, Springer New York, 2011
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.327678Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ab40100c-775e-4f35-8244-bf039bd8e7cd · outbound
This paper cites Fluctuation effects on 3D-Lagrangian mean and Eulerian mean fluid motion, Physica D: Nonlinear Phenomena, 215–269, 1999.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Fluctuation effects on 3D-Lagrangian mean and Eulerian mean fluid motion, Physica D: Nonlinear Phenomena, 215–269, 1999
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.267970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e5de2285-10b9-4213-9842-e1b56736ff01 · outbound
This paper cites A modified-Leray-α subgrid scale model of turbulence, Nonlinearity, v.19, p.879, 2006.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches A modified-Leray-α subgrid scale model of turbulence, Nonlinearity, v.19, p.879, 2006
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.236887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 066eb592-a6db-4d43-8417-c01f954bf886 · outbound
This paper cites A data assimilation algorithm for the subcritical surface quasi-geostrophic equation, Advanced Nonlinear Studies, v.14, 167-192, 2017.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches A data assimilation algorithm for the subcritical surface quasi-geostrophic equation, Advanced Nonlinear Studies, v.14, 167-192, 2017
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.222213Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1188a9a9-2bf1-411f-81b6-7653156601a2 · outbound
This paper cites A determining form for the damped driven nonlinear Schrödinger equation — Fourier modes case, Journal of Dif- ferential Equations, v.258, 2711-2744, 2015.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches A determining form for the damped driven nonlinear Schrödinger equation — Fourier modes case, Journal of Dif- ferential Equations, v.258, 2711-2744, 2015
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.207396Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation faf9fa03-93ca-4b54-89bb-ad08bee288fa · outbound
This paper cites Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation, Chinese Annals of Mathematics: Series B, v.40, 721-764, 2019.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation with blurred-in-time measurements of the surface quasi-geostrophic equation, Chinese Annals of Mathematics: Series B, v.40, 721-764, 2019
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.191042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7dc00a5d-86dc-4b05-91b2-8db8fb1e5d44 · outbound
This paper cites On a well-posed turbulence model, Discrete and Continuous Dynamical Systems series B, v.6, p.111, 2006.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches On a well-posed turbulence model, Discrete and Continuous Dynamical Systems series B, v.6, p.111, 2006
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.102732Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8bb5b028-3250-4d57-9c23-a7c0f28579f2 · outbound
This paper cites Essai sur le mouvement d’un fluide visqueux emplissant l’space, Acta Math, v.63, 193–248, 1934.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Essai sur le mouvement d’un fluide visqueux emplissant l’space, Acta Math, v.63, 193–248, 1934
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:26.010696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1244aee8-20e4-4c3f-9b07-b0cfd2b28926 · outbound
This paper cites Quelques méthodes de résolution des problemes aux limites non linéaires, Dunod Paris, 1969.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Quelques méthodes de résolution des problemes aux limites non linéaires, Dunod Paris, 1969
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:25.975814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2fedd295-d7bb-406c-8f11-643be37a8a5b · outbound
This paper cites Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model, Non- linearity, v.29, p.1292, 2016.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model, Non- linearity, v.29, p.1292, 2016
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:25.959741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1101e190-f8ae-442a-9b92-481f6e0b5637 · outbound
This paper cites Navier–Stokes Equations and Nonlinear Functional Analysis, So- ciety for Industrial and Applied Mathematics, 1995.
Parameter Error Analysis for the 3D Modified Leray-alpha Model: Analytical and Numerical Approaches Navier–Stokes Equations and Nonlinear Functional Analysis, So- ciety for Industrial and Applied Mathematics, 1995
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T13:28:25.944322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.