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Paper Citation Record · LEDGER

The primitive equations on curved surfaces

As of 11 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.27724.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.27724 v1

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measured 42 of 42 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-01T02:40:03.449092Z

measured 42 of 42 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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42 of 42 outbound references displayed

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Outbound references

Observation fcf1394a-81cb-4fc8-89db-044b0042ee30 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 1

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Observation 98c2eebd-1531-418b-b855-42bdcc65a684 · outbound

This paper cites Amann,Linear and Quasilinear Parabolic Problems.

The primitive equations on curved surfaces Amann,Linear and Quasilinear Parabolic Problems

Reference 2

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source=pdf_text observed=2026-08-01T02:39:59.688752Z digest=sha256:13ce523bca1f278525c73b63f6d112a6b8bc1e47c862e6e6d62dedaa9ad752cb

Observation ea2ccc79-8aa2-444b-8179-95a08d417f7a · outbound

This paper cites Amann,Function spaces on singular manifolds.Math.

The primitive equations on curved surfaces Amann,Function spaces on singular manifolds.Math

Reference 3

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source=pdf_text observed=2026-08-01T02:39:59.748877Z digest=sha256:b62c39ef24ae430a032e47be2313a942a8245f54b602d0fbe47179ac8c17849e

Observation e694ffd0-50ef-4233-a7c3-515a07f41f18 · outbound

This paper cites Amann,Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems.Recent developments of mathematical fluid mechanics, 43-77.

The primitive equations on curved surfaces Amann,Parabolic equations on uniformly regular Riemannian manifolds and degenerate initial boundary value problems.Recent developments of mathematical fluid mechanics, 43-77

Reference 4

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Observation 29e1771e-221e-47ea-ade9-475817f642e7 · outbound

This paper cites Amann,Linear and Quasilinear Parabolic Problems.

The primitive equations on curved surfaces Amann,Linear and Quasilinear Parabolic Problems

Reference 5

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Observation 0050ab68-20b8-40d3-b6e9-8fd9f7f54175 · outbound

This paper cites Aubin,Nonlinear Analysis on Manifolds.

The primitive equations on curved surfaces Aubin,Nonlinear Analysis on Manifolds

Reference 6

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Observation 63542440-c4bd-40c8-a6f1-73acbd0fc5a8 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-01T02:40:00.079940Z digest=sha256:60b1fb3e2f6a3c5f1349ef0a65bf7a05e38fa172e75edf8801a16962fbb384e3

Observation 2891afc8-90a0-4753-973c-89509d02053a · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-01T02:40:00.168832Z digest=sha256:3f38db307fc48eea87430ff5916c5037a496f04ec2123eec458bf84f1f1d88f0

Observation 4f2b0130-2e5c-492e-9860-cdb3ef72520d · outbound

This paper cites Drutsa,Existence in the large of a solution to primitive equations in a domain with unveven bottom.

The primitive equations on curved surfaces Drutsa,Existence in the large of a solution to primitive equations in a domain with unveven bottom

Reference 9

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Observation b3f1c2bb-f891-4ef1-a3f4-f74c2076659d · outbound

This paper cites Drutsa,Existence in the large of a solution of equations of large-scale ocean dynamics on a manifold.

The primitive equations on curved surfaces Drutsa,Existence in the large of a solution of equations of large-scale ocean dynamics on a manifold

Reference 10

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source=pdf_text observed=2026-08-01T02:40:00.344032Z digest=sha256:0bd86b9f2f7cfda73fa10ba4e6926664f5af7b1ce69db80edcb82ed55134e6e3

Observation eb2c27ed-6941-4041-8e69-8a2dd75b04e5 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 11

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Observation 89ff08ba-7a05-4ff0-9a80-7fed705e8233 · outbound

This paper cites Furukawa, Y.

The primitive equations on curved surfaces Furukawa, Y

Reference 12

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Observation e2fb4226-796f-4d94-ba1f-d460c76a407a · outbound

This paper cites Furukawa, Y.

The primitive equations on curved surfaces Furukawa, Y

Reference 13

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Observation 00ec5531-2cc5-4501-84d6-31d66c1f0e2d · outbound

This paper cites Galdi, M.

The primitive equations on curved surfaces Galdi, M

Reference 14

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Observation 5ee1ee4d-bda0-4208-b962-f3bbf70552f0 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 15

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Observation 8653cb75-689c-4080-bff5-50db49eb6e52 · outbound

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The primitive equations on curved surfaces Unresolved cited work

Reference 16

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Observation e74102c6-0b7b-448e-bf20-9d04b8ce2c1d · outbound

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The primitive equations on curved surfaces Unresolved cited work

Reference 17

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Observation d62fc9de-2320-449d-8151-72454120e501 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 18

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Observation c6769f78-6036-4b11-bd67-d3d85b2507b3 · outbound

This paper cites Hieber, A.

The primitive equations on curved surfaces Hieber, A

Reference 19

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Observation bea51688-238a-4336-bafd-d44607c822bd · outbound

This paper cites Hieber, T.

The primitive equations on curved surfaces Hieber, T

Reference 20

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Observation b24dcb20-12ac-480f-8aaa-305c3d473fe8 · outbound

This paper cites Hyt¨ onen, J.

The primitive equations on curved surfaces Hyt¨ onen, J

Reference 21

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Observation a5a953dc-282a-4d0d-beea-69afb8f8601e · outbound

This paper cites in the large.

The primitive equations on curved surfaces in the large

Reference 22

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Observation 7dd25613-31c3-4b56-8868-ae7a814d1295 · outbound

This paper cites Korn,Global well-posedness of the viscous primitive equations with a free surface.Personal communica- tion (2026).

The primitive equations on curved surfaces Korn,Global well-posedness of the viscous primitive equations with a free surface.Personal communica- tion (2026)

Reference 23

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Observation 8b2c459c-0e0a-49b2-9501-a7db97ef9cbe · outbound

This paper cites Kukavica, M.

The primitive equations on curved surfaces Kukavica, M

Reference 24

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Observation 3c4bd9e0-fc68-47cd-9436-0dfb6b54bfa7 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 25

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Observation cf0bcd0f-b450-4fd3-a33c-b4c9039b0cd4 · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 26

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Observation fce3fef4-e215-4dc8-a623-cb5d05955e95 · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 27

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Observation dd2ef048-d669-412c-8ca5-00850a127ceb · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 28

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Observation e23744f6-c046-4a7b-9ee5-143faf3d717b · outbound

This paper cites Lions, R.

The primitive equations on curved surfaces Lions, R

Reference 29

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Observation 726e09f1-6450-4de5-bdb2-3ce409efbaaa · outbound

This paper cites Meyries, R.

The primitive equations on curved surfaces Meyries, R

Reference 30

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Observation b253a184-3e25-47f5-9af0-d41ea92416e5 · outbound

This paper cites Meyries, M.

The primitive equations on curved surfaces Meyries, M

Reference 31

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Observation dd840f67-d201-4577-bf2d-e9e14d543227 · outbound

This paper cites M¨ uller,The Equations of Oceanic Motions.

The primitive equations on curved surfaces M¨ uller,The Equations of Oceanic Motions

Reference 32

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Observation b20365e2-3101-4c73-b976-0aecbef50a50 · outbound

This paper cites Pedlovsky,Geophysical Fluid Dynamics.Second edition.

The primitive equations on curved surfaces Pedlovsky,Geophysical Fluid Dynamics.Second edition

Reference 33

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Observation 29eccac7-387a-4d9b-8ed7-91e478c1ac2c · outbound

This paper cites Petersen,Riemannian Geometry.Second edition.

The primitive equations on curved surfaces Petersen,Riemannian Geometry.Second edition

Reference 34

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Observation 265293a9-1dff-4ecb-95af-4756c6f7e4ce · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 35

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Observation c0cbc21e-4123-4ae7-8f8d-f5af63a1d3e3 · outbound

This paper cites On quasilinear parabolic evolution equations in weighted Lp-spaces II.

The primitive equations on curved surfaces On quasilinear parabolic evolution equations in weighted Lp-spaces II

Reference 36

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source=pdf_text observed=2026-08-01T02:40:02.958668Z digest=sha256:4e9d8ccda1da9b2e837accb1b5adf4f3d68c371550702ca269d3cb4c7e869f88

Observation dced693e-31ed-4914-9231-56862523effc · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 37

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source=pdf_text observed=2026-08-01T02:40:03.083024Z digest=sha256:fce3414a638070327543f343693cf059b406e47d14de234e2c5becfb97c9536d

Observation 823b744e-f473-49a3-933c-ab8a41ff56d3 · outbound

This paper cites Pr¨ uss, G.

The primitive equations on curved surfaces Pr¨ uss, G

Reference 38

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source=pdf_text observed=2026-08-01T02:40:03.210394Z digest=sha256:4cd2a1c2928840ea17974a057c406f10553935fac9bee701181b8fa5ab3c9a18

Observation 593895d4-fe89-42bd-bd8f-1be788fbf7b8 · outbound

This paper cites Samavaki, J.

The primitive equations on curved surfaces Samavaki, J

Reference 39

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source=pdf_text observed=2026-08-01T02:40:03.290878Z digest=sha256:0f11d3d93fe7ecd1a8f6718cbbc8523aa946171575d8ad6d97303418798b633e

Observation 4b618723-4d30-44e3-b288-9f469bc110fe · outbound

This paper cites an unresolved cited work.

The primitive equations on curved surfaces Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-01T02:40:03.355952Z digest=sha256:831f51fe3a1d7580f37ddf559bdd52e6816f0c640cbda62c6b6f0e0d0002ea13

Observation 73a8c32b-e76d-415a-8b37-f56b6a91b968 · outbound

This paper cites Simonett, M.

The primitive equations on curved surfaces Simonett, M

Reference 41

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source=pdf_text observed=2026-08-01T02:40:03.414215Z digest=sha256:cf799530837ec6d33f115809f2a665d8b3e148c6dd3cd46a45c343845f75a793

Observation 6595b8a8-3876-4224-a092-9bec46d1da06 · outbound

This paper cites Triebel,Interpolation Theory, Function Spaces, Differential Operators.North-Holland Publishing Co., Amsterdam-New York, 1978.

The primitive equations on curved surfaces Triebel,Interpolation Theory, Function Spaces, Differential Operators.North-Holland Publishing Co., Amsterdam-New York, 1978

Reference 42

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Pith citing papers

No inbound Pith citation observations are available.