Paper Citation Record · LEDGER

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.02739.

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pith.paper-citation-record.v1
2607.02739 v1

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-12T07:22:30.053977Z

measured 32 of 32 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation be427df2-d182-4a36-b2ae-e8e2f02aa466 · outbound

This paper cites Optimization Algorithms on Matrix Manifolds.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Optimization Algorithms on Matrix Manifolds

Reference 1

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Observation 5f7221e5-7561-4fdc-afeb-42e27555e2df · outbound

This paper cites Sobolev Spaces.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Sobolev Spaces

Reference 2

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Observation e66d13ed-05b5-4ebb-8d87-264f751f4246 · outbound

This paper cites Sharp bounds on enstrophy growth for viscous scalar conservation laws.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Sharp bounds on enstrophy growth for viscous scalar conservation laws

Reference 3

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Observation e0a0cf48-44a4-4f4e-a2cb-0c1c5cf73225 · outbound

This paper cites Maximum palinstrophy amplification in the two-dimensional navier–stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Maximum palinstrophy amplification in the two-dimensional navier–stokes equations

Reference 4

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Observation d4537372-d8b3-450e-abdd-b36a87b1c020 · outbound

This paper cites On maximum enstrophy growth in a hy- drodynamic system.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows On maximum enstrophy growth in a hy- drodynamic system

Reference 5

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.152024Z

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Observation d7ca8419-6120-4fdd-bfc4-1160687fda67 · outbound

This paper cites Maximum palinstrophy growth in 2d in- compressible flows.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Maximum palinstrophy growth in 2d in- compressible flows

Reference 6

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Observation 30954059-ea04-42cf-8f01-cb78b3129f7f · outbound

This paper cites Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Extreme vortex states and the growth of enstrophy in three-dimensional incompressible flows

Reference 7

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.175033Z

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Observation 7493cbbd-ebc8-43ad-8297-261507e29812 · outbound

This paper cites Nonlinearity and Functional Analysis.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Nonlinearity and Functional Analysis

Reference 8

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Observation c4f82331-50cf-412f-9e5b-17893a12639c · outbound

This paper cites Spectral Methods.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Spectral Methods

Reference 9

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Observation ba9b0dac-c6f9-4fca-8ea0-9813808a4c28 · outbound

This paper cites L3,∞-solutions of the Navier-Stokes equations and backward uniqueness.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows L3,∞-solutions of the Navier-Stokes equations and backward uniqueness

Reference 10

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Observation 25f71443-a0d2-4d62-a8f8-4958b980ad51 · outbound

This paper cites Existence and smoothness of the Navier–Stokes equation.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Existence and smoothness of the Navier–Stokes equation

Reference 11

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Observation a8de983d-2555-4ebc-90e5-b280eb90a9f5 · outbound

This paper cites Gevrey class regularity for the solutions of the navier-stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Gevrey class regularity for the solutions of the navier-stokes equations

Reference 12

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.140130Z

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Observation f3850625-05a8-4eb9-8931-f48addb3bb74 · outbound

This paper cites Potentially singular behavior of the 3D Navier–Stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Potentially singular behavior of the 3D Navier–Stokes equations

Reference 13

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Observation 7dfefb3e-8020-413d-a5f4-ba49ebd747dc · outbound

This paper cites Searching for singularities in navier–stokes flows based on the ladyzhenskaya–prodi–serrin conditions.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Searching for singularities in navier–stokes flows based on the ladyzhenskaya–prodi–serrin conditions

Reference 14

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Observation d0050bce-069a-4408-9f80-f1ef9e3f3647 · outbound

This paper cites Maximum amplification of enstro- phy in three-dimensional Navier-Stokes flows.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Maximum amplification of enstro- phy in three-dimensional Navier-Stokes flows

Reference 15

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Observation 28cf21bf-b738-4627-a6d7-e92a8b454b2d · outbound

This paper cites On the existence and unique- ness of the solution of the nonstationary problem for a viscous, incom- pressible fluid.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows On the existence and unique- ness of the solution of the nonstationary problem for a viscous, incom- pressible fluid

Reference 16

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Observation fe5f3fa4-92f5-456c-a980-46203d307897 · outbound

This paper cites Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Limits on enstrophy growth for solutions of the three-dimensional Navier-Stokes equations

Reference 17

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.150344Z

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Observation e21fe9fb-012b-4a76-8d23-7339ac0f2e00 · outbound

This paper cites Vorticity and Incompressible Flow.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Vorticity and Incompressible Flow

Reference 18

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Observation f5527eb0-2da9-4c68-af0e-414666133caf · outbound

This paper cites Sobolev Gradients and Differential Equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Sobolev Gradients and Differential Equations

Reference 19

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Observation b8b0ee1b-0fd1-471e-8bb2-457beb728898 · outbound

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On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Numerical Optimization

Reference 20

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Observation e703efb3-a1c7-415e-b017-8c7b34cd04f5 · outbound

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On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows NumericalOptimization

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T07:22:30.053977Z

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Observation 81f466a4-2252-4d18-9370-9c386398c245 · outbound

This paper cites Numerical Recipes.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Numerical Recipes

Reference 22

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Observation 344e7c45-4f5b-49ef-a262-c255712938c8 · outbound

This paper cites Un teorema di unicità per le equazioni di navier-stokes.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Un teorema di unicità per le equazioni di navier-stokes

Reference 23

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Observation 4420a238-25f7-4d3a-bfdd-c653ab3c5a0e · outbound

This paper cites Adjoint-based optimization of PDE systems with al- ternative gradients.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Adjoint-based optimization of PDE systems with al- ternative gradients

Reference 24

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.163420Z

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Observation 8485e43d-072f-4338-8fad-9fa0e39b67f7 · outbound

This paper cites Systematic search for extreme and singular behaviour in some fundamental models of fluid mechanics.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Systematic search for extreme and singular behaviour in some fundamental models of fluid mechanics

Reference 25

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Observation cd5d90da-e928-4021-a361-622e4dbfadd9 · outbound

This paper cites A computational framework for the regularization of adjoint analysis in multiscale pde systems.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows A computational framework for the regularization of adjoint analysis in multiscale pde systems

Reference 26

Resolution: verified exact; doi, observed 2026-07-12T07:28:35.129638Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c69a7b12-a744-4da5-b053-fb023ccff2e7 · outbound

This paper cites Systematic search for extreme behavior in 3D Navier- Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Systematic search for extreme behavior in 3D Navier- Stokes flows based on the Ladyzhenskaya-Prodi-Serrin conditions

Reference 27

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Observation eb1fb830-dc10-4b1a-908b-d391bd180896 · outbound

This paper cites The Ladyzhenskaya-Prodi-Serrin Conditions and the Search for Extreme Behavior in 3D Navier-Stokes Flows.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows The Ladyzhenskaya-Prodi-Serrin Conditions and the Search for Extreme Behavior in 3D Navier-Stokes Flows

Reference 28

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Observation bd3bb036-5103-4774-8c2e-cecc5b93c5b1 · outbound

This paper cites A local smoothness criterion for solutions of the 3d navier-stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows A local smoothness criterion for solutions of the 3d navier-stokes equations

Reference 29

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Observation 56b78621-e512-42c0-8e01-16fd4fddaca4 · outbound

This paper cites On the interior regularity of weak solutions of the navier-stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows On the interior regularity of weak solutions of the navier-stokes equations

Reference 30

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Observation ee4b5695-fe28-4b4a-a323-ca46881a1f83 · outbound

This paper cites Quantitative bounds for critically bounded solutions to the Navier-Stokes equations.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Quantitative bounds for critically bounded solutions to the Navier-Stokes equations

Reference 31

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Observation 735198a0-9c20-4f4d-947b-a04babde7a86 · outbound

This paper cites Systematic search for singularities in 3d euler flows.

On the sharpness of bounds on the rate of growth of Lebesgue norms of the velocity in Navier-Stokes flows Systematic search for singularities in 3d euler flows

Reference 32

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