Paper Citation Record · LEDGER

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations

As of 11 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 1 inbound Pith citation observation for arXiv:2603.12497.

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pith.paper-citation-record.v1
2603.12497 v2

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measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-14T22:17:51.958209Z

measured 52 of 52 standing notices

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T12:16:33.666313Z

measured 0 of 1 external citation measurements

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Source: cited_works

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51 of 51 outbound references displayed

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Outbound references

Observation cb665221-356e-4b72-aab6-72fc66bcef8f · outbound

This paper cites Global weak besov solutions of the navier–stokes equations and applications.�� , 232(1):197–263, Apr 2019.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Global weak besov solutions of the navier–stokes equations and applications.�� , 232(1):197–263, Apr 2019

Reference 1

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Observation 5b1d333f-449c-4f89-8797-9efd25bb5428 · outbound

This paper cites Non-uniqueness of Leray solutions of the forced Navier-Stokes equations.�� , 196(1):415–455, 2022.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Non-uniqueness of Leray solutions of the forced Navier-Stokes equations.�� , 196(1):415–455, 2022

Reference 2

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Observation 2e1fff08-26df-43b9-8c8a-4c62c4d0de2c · outbound

This paper cites Princeton University Press, 2024.

Reference 3

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Observation dfa0287c-de16-440b-bb0b-c76eb64f93aa · outbound

This paper cites Non-uniqueness of Leray solutions to the hypodissipative Navier- Stokes equations in two dimensions.�� , 402(1):429–446, 2023.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Non-uniqueness of Leray solutions to the hypodissipative Navier- Stokes equations in two dimensions.�� , 402(1):429–446, 2023

Reference 4

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Observation a86c69a7-855e-466d-bac5-f350e3be1853 · outbound

This paper cites Vanishing viscosity non-unique solutions to the forced 2d euler equations, 2025.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Vanishing viscosity non-unique solutions to the forced 2d euler equations, 2025

Reference 5

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Observation eaca1af3-15a5-46d8-a5ff-a1e5f1384e4a · outbound

This paper cites Forward self-similar solutions to the 2d navier–stokes equations, 2026.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Forward self-similar solutions to the 2d navier–stokes equations, 2026

Reference 6

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Observation 99d5b633-179d-4ad1-870f-be2b3be3fd33 · outbound

This paper cites Baratta, Joseph P.

Reference 7

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Observation 47506bd6-8475-4050-af4d-254f535feeb7 · outbound

This paper cites an unresolved cited work.

Reference 8

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Observation 114b775b-2fec-4f7a-b986-14d6c270f2da · outbound

This paper cites Spatial decay of discretely self-similar solutions to the Navier– Stokes equations.�� , 5(2):377–407, 2023.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Spatial decay of discretely self-similar solutions to the Navier– Stokes equations.�� , 5(2):377–407, 2023

Reference 9

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Observation cc017f5c-1244-46aa-8122-7e07bd6c8e16 · outbound

This paper cites Forward discretely self-similar solutions of the Navier-Stokes equations II.�� , 18(3):1095–1119, 2017.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Forward discretely self-similar solutions of the Navier-Stokes equations II.�� , 18(3):1095–1119, 2017

Reference 10

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Observation 7184a804-d4b4-4f54-b3e0-c03783ab740e · outbound

This paper cites Rotationally corrected scaling invariant solutions to the Navier- Stokes equations.�� , 42(7):1065–1087, 2017.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Rotationally corrected scaling invariant solutions to the Navier- Stokes equations.�� , 42(7):1065–1087, 2017

Reference 11

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Observation b675382d-504d-4de5-a200-1aa6f4c6d16b · outbound

This paper cites Discretely self-similar solutions to the navier–stokes equations with besov space data.�� , 229(1):53–77, Jul 2018.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Discretely self-similar solutions to the navier–stokes equations with besov space data.�� , 229(1):53–77, Jul 2018

Reference 12

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Observation 7c9d72d0-d846-4edd-8aa1-4609d5218e99 · outbound

This paper cites Discretely self-similar solutions to the navier–stokes equations with data inl 2 loc satisfying the local energy inequality.�� , 12(8):1943–1962, 2019.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Discretely self-similar solutions to the navier–stokes equations with data inl 2 loc satisfying the local energy inequality.�� , 12(8):1943–1962, 2019

Reference 13

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Observation 64cc43d8-07b6-4ef5-b59f-5910dd209ed3 · outbound

This paper cites Cannone, Y.

Reference 14

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Observation 306c3f32-36e6-4d6f-82fc-c71bdc85915b · outbound

This paper cites Cannone and F Planchon.

Reference 15

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Observation e8afd9ae-d7aa-4702-ae30-f388ab8d635b · outbound

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Reference 16

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Observation a589a668-3795-4ca3-b52a-ff19a3a7b197 · outbound

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Reference 17

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Observation 8f903003-d24b-48a0-8cf9-4e21734b0445 · outbound

This paper cites an unresolved cited work.

Reference 18

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Observation 920283c6-e2be-4ac0-8932-eab3a510fb83 · outbound

This paper cites Asymmetric self-similar spiral solutions of 2-d incomressible euler equations, 2025.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Asymmetric self-similar spiral solutions of 2-d incomressible euler equations, 2025

Reference 19

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Observation 6ff5e368-863a-44c4-89bf-36f7408a8264 · outbound

This paper cites Ill-posedness of leray solutions for the hy- podissipative navier–stokes equations.�� , 362(2):659–688, Sep 2018.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Ill-posedness of leray solutions for the hy- podissipative navier–stokes equations.�� , 362(2):659–688, Sep 2018

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T22:17:51.958209Z

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Observation df6c6f25-6d95-439e-bdd6-8a88bcc6b886 · outbound

This paper cites Optimal local smoothing and analyticity rate estimates for the generalized navier-stokes equations.�� , 7:67–80, 2009.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Optimal local smoothing and analyticity rate estimates for the generalized navier-stokes equations.�� , 7:67–80, 2009

Reference 21

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Observation ad249a45-deca-46d0-9ba1-fd4939d53671 · outbound

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Reference 22

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Observation fc88ca63-9f7e-4bfe-8bd1-622d37173a0b · outbound

This paper cites Elgindi, Tej-Eddine Ghoul, and Nader Masmoudi.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Elgindi, Tej-Eddine Ghoul, and Nader Masmoudi

Reference 23

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Observation b2429cf0-cee7-4d91-87c4-9c464059f399 · outbound

This paper cites Algebraic spiral solutions of 2d incompressible euler.�� , 255(11):3749–3787, 2013.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Algebraic spiral solutions of 2d incompressible euler.�� , 255(11):3749–3787, 2013

Reference 24

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Observation 5a22bd2a-6670-4d85-9be9-a9b24e070f4b · outbound

This paper cites Algebraic spiral solutions of the 2d incompressible euler equations.�� , 47(1):323–334, Mar 2016.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Algebraic spiral solutions of the 2d incompressible euler equations.�� , 47(1):323–334, Mar 2016

Reference 25

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Observation 7a869b9b-2902-4053-abf5-f9c84e43888e · outbound

This paper cites Self-similar 2d euler solutions with mixed-sign vorticity.�� , 348(1):27–68, Nov 2016.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Self-similar 2d euler solutions with mixed-sign vorticity.�� , 348(1):27–68, Nov 2016

Reference 26

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Observation a40d7ea5-9adc-4105-8e8e-91dcc78e4e2b · outbound

This paper cites Springer Monographs in Mathematics.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Springer Monographs in Mathematics

Reference 27

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Observation 4d6a9a2e-d36c-4bef-9dfc-f08403b027ad · outbound

This paper cites Navier-stokes flow in r3 with measures as initial vorticity and morrey spaces.�� , 14(5):577–618, 1989.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Navier-stokes flow in r3 with measures as initial vorticity and morrey spaces.�� , 14(5):577–618, 1989

Reference 28

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Observation b821d068-c445-4771-9b19-fe43197b8dbf · outbound

This paper cites The kato-ponce inequality.�� , 39(6):1128–1157, 2014.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations The kato-ponce inequality.�� , 39(6):1128–1157, 2014

Reference 29

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Observation 884ad761-5ab6-4566-adf7-fa4094b799e6 · outbound

This paper cites On the forward self-similar solutions to the two-dimensional navier-stokes equations, 2026.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations On the forward self-similar solutions to the two-dimensional navier-stokes equations, 2026

Reference 30

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Observation 4eec085c-babf-4a3b-938e-92c00c88967a · outbound

This paper cites Numerical investigations of non-uniqueness for the navier–stokes initial value problem in borderline spaces.�� , 25(3):46, May 2023.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Numerical investigations of non-uniqueness for the navier–stokes initial value problem in borderline spaces.�� , 25(3):46, May 2023

Reference 31

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Observation ca45d1a5-a92d-42fe-b957-b842b768c289 · outbound

This paper cites Roman, and Vicente Vidal.

Reference 32

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Observation 8270034c-1613-4dbd-b9bd-f5b5231991c4 · outbound

This paper cites Nonuniqueness of leray-hopf solutions to the unforced incompressible 3d navier-stokes equation, 2025.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Nonuniqueness of leray-hopf solutions to the unforced incompressible 3d navier-stokes equation, 2025

Reference 33

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Reference 34

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Observation 2f0aa89d-cda1-4da6-9c89-95b97fb1a695 · outbound

This paper cites Hyt¨ onen.

Reference 35

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Observation 9415abef-ac7c-4960-89c3-8dbd4f62a8c6 · outbound

This paper cites Are the incompressible 3d navier–stokes equations locally ill-posed in the natural energy space?�� , 268(12):3734–3766, 2015.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Are the incompressible 3d navier–stokes equations locally ill-posed in the natural energy space?�� , 268(12):3734–3766, 2015

Reference 36

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Observation ca52866e-55b2-4b8a-95ea-3bf384a1ba0a · outbound

This paper cites Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions.�� , 196(1):233–265, 2014.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions.�� , 196(1):233–265, 2014

Reference 37

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Observation 8da84d1e-9a23-4bbf-865b-125f6edf44ed · outbound

This paper cites Well-posedness for the navier–stokes equations.�� , 157(1):22–35, 2001.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Well-posedness for the navier–stokes equations.�� , 157(1):22–35, 2001

Reference 38

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Observation 9c5cf282-8d34-426d-a2f4-24c6fd93e815 · outbound

This paper cites Forward self-similar solutions of the Navier-Stokes equations in the half space.�� , 9(8):1811–1827, 2016.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Forward self-similar solutions of the Navier-Stokes equations in the half space.�� , 9(8):1811–1827, 2016

Reference 39

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Observation 2dba920a-4763-49ba-84bb-ffd33c3e02d3 · outbound

This paper cites The forward self-similar solution of fractional incompressible navier-stokes system: The critical case.�� , 287(7):110542, 2024.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations The forward self-similar solution of fractional incompressible navier-stokes system: The critical case.�� , 287(7):110542, 2024

Reference 40

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Observation 652ac972-1565-4296-ad67-46530d8a8528 · outbound

This paper cites Forward self-similar solutions of the fractional navier-stokes equations.�� , 352:981–1043, 2019.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Forward self-similar solutions of the fractional navier-stokes equations.�� , 352:981–1043, 2019

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-14T22:17:51.958209Z

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Observation 1f49fe7a-b78c-4f56-8b1a-fd8c1b500855 · outbound

This paper cites Global regularity of weak solutions to the generalized Leray equations and its applications.�� , 374(10):7449–7497, 2021.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Global regularity of weak solutions to the generalized Leray equations and its applications.�� , 374(10):7449–7497, 2021

Reference 42

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Observation 68e70511-2ab6-4085-9b2e-a744d70e65dd · outbound

This paper cites Neˇ cas, M.

Reference 43

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Observation 038a7df1-99a6-47e5-bd30-866d54ad8d73 · outbound

This paper cites Infinitely many leray–hopf solutions for the fractional navier–stokes equations.�� , 44(4):335–365, 2019.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Infinitely many leray–hopf solutions for the fractional navier–stokes equations.�� , 44(4):335–365, 2019

Reference 44

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Observation d1c913f9-27a4-4ef0-b636-3bb882753656 · outbound

This paper cites Self-similar algebraic spiral solution of 2-d incompressible euler equations.�� , 11(1):13, May 2025.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Self-similar algebraic spiral solution of 2-d incompressible euler equations.�� , 11(1):13, May 2025

Reference 45

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Observation 43c3fac9-d992-4308-84b7-4342585ffb4e · outbound

This paper cites STEIN and Timothy S.

Reference 46

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Observation 154f7238-ad08-4ebe-aafb-d923e14d8f34 · outbound

This paper cites Forward discretely self-similar solutions of the navier–stokes equations.�� , 328(1):29–44, May 2014.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Forward discretely self-similar solutions of the navier–stokes equations.�� , 328(1):29–44, May 2014

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-14T22:17:51.958209Z

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Observation e07e81d6-392b-4d11-b1c1-9382db86f561 · outbound

This paper cites On leray’s self-similar solutions of the navier-stokes equations satisfying local energy estimates.�� , 143(1):29–51, Aug 1998.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations On leray’s self-similar solutions of the navier-stokes equations satisfying local energy estimates.�� , 143(1):29–51, Aug 1998

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-14T22:17:51.958209Z

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Observation 26db10ce-5809-4cd1-a99d-1315696bba0e · outbound

This paper cites Instability and non-uniqueness in the cauchy problem for the euler equations of an ideal incompressible fluid.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Instability and non-uniqueness in the cauchy problem for the euler equations of an ideal incompressible fluid

Reference 49

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Observation 3b80f7de-1f0e-4606-bf8a-9299d89b86af · outbound

This paper cites Instability and non-uniqueness in the cauchy problem for the euler equations of an ideal incompressible fluid.

Forward Self-Similar Solutions to the 2D Hypodissipative Navier-Stokes Equations Instability and non-uniqueness in the cauchy problem for the euler equations of an ideal incompressible fluid

Reference 50

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Observation 469675b2-770e-4066-a4b2-ff3a3f4399f6 · outbound

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Reference 51

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Pith citing papers

Observation 45fc0e52-6f6d-42f5-a4cb-05c4977d6abf · inbound

Self-Similar Solutions of the Two-Dimensional Incompressible Euler Equation from Large Initial Data cites this paper.

Reference 27

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