Paper Citation Record · LEDGER

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability

As of 5 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 1 inbound Pith citation observation for arXiv:2603.26020.

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

pith.paper-citation-record.v1
2603.26020 v2

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T17:31:08.797271Z

measured 59 of 59 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-07T11:42:13.309609Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-12T09:16:26.838740Z

Reference resolution

58 of 58 outbound references displayed

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External citation measurements

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Outbound references

Observation 8e8755d0-c213-43bc-a9c6-5f80bf1c8bca · outbound

This paper cites Abels, D.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, D

Reference 1

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Observation db9ee2bb-f196-4c16-b417-9ace898494e5 · outbound

This paper cites Abels, D.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, D

Reference 2

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Observation 031743d0-7ebc-4788-b1cd-4fb0a3595f45 · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 3

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Observation 6722b477-b3ff-4e10-976f-2907df824f1f · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 4

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Observation 269412b3-fb6d-4f7f-a49b-ce05aa476452 · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.631637Z

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Observation f6e9d4d7-7c4e-4968-9f68-67378cbdffed · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.635106Z

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Observation 5abb2c54-db3f-4f3f-b682-147ff942e522 · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.638749Z

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Observation fa0b7eb3-868d-436a-a105-9ab40fd8e28d · outbound

This paper cites Abels, H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.641967Z

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Observation 94aabcd3-b625-49b1-8548-b4fcef03b881 · outbound

This paper cites Abels, Y.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, Y

Reference 9

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Observation f9b2cd42-a2a1-4cb0-a7ad-50319dfc1ee5 · outbound

This paper cites Abels, J.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Abels, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.648154Z

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Observation 41068812-db50-4617-9ef8-ff8b6fcb0c50 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 11

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Observation 402ebef8-d7c1-4549-8889-0238dfeee4e2 · outbound

This paper cites Akramov, T.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Akramov, T

Reference 12

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Observation 0ba792f0-1b37-4996-b74a-6a035e399e18 · outbound

This paper cites Barbu,Nonlinear differential equations of monotone types in Banach spaces, Springer Monogr.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Barbu,Nonlinear differential equations of monotone types in Banach spaces, Springer Monogr

Reference 13

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Observation 92df2b9c-c5a6-4064-8a91-04e9261872d6 · outbound

This paper cites Bardos, P.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Bardos, P

Reference 14

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Observation 4a8e52c1-bb37-426e-b527-8b6ec11dabe4 · outbound

This paper cites Bardos, E.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Bardos, E

Reference 15

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Observation c06fddc0-5f26-47a9-a60a-f989c0fe34d6 · outbound

This paper cites Bardos, E.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Bardos, E

Reference 16

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Observation 7ff601cf-9943-43c5-a0e4-45686ad23166 · outbound

This paper cites Beirão da Veiga, J.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Beirão da Veiga, J

Reference 17

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Observation 0852aa5d-8a53-4034-9acb-e7133959625f · outbound

This paper cites Beirão da Veiga, J.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Beirão da Veiga, J

Reference 18

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Observation 060dbd2c-4a06-4520-895f-49dc75723f50 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 19

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Observation d9f04222-4812-4649-8d4d-34e14bb21966 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.680060Z

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Observation 4a17b38b-ed42-45af-906b-2e0bb855abd6 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 21

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Observation 285c4a95-ed87-440c-a823-8d913db39a2c · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 22

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Observation 76162607-a673-4265-acdb-5fad85d67552 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 23

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Observation b2d6cc27-6483-428c-b321-cdf00d521a5f · outbound

This paper cites Cheskidov, X.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Cheskidov, X

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.692411Z

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Observation 75807024-1596-4413-a1f7-5194c5c23c31 · outbound

This paper cites Conti, P.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Conti, P

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.695424Z

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Observation 92081fcf-dc04-426f-a0d1-a15595e87ddc · outbound

This paper cites Conti, S.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Conti, S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.698598Z

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Observation 935a46ae-1485-40b6-bf6a-fe4eb10cba67 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 27

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Observation 2c86258b-9449-45de-8f62-0254d76fe668 · outbound

This paper cites Farwig, On regularity of weak solutions to the instationary Navier–Stokes system: a review on recent results, Ann.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Farwig, On regularity of weak solutions to the instationary Navier–Stokes system: a review on recent results, Ann

Reference 28

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Observation 25414317-2453-4aa6-9bd3-c18f53436caa · outbound

This paper cites Frigeri, Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities, Math.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Frigeri, Global existence of weak solutions for a nonlocal model for two-phase flows of incompressible fluids with unmatched densities, Math

Reference 29

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Observation aa2999d3-7862-4c89-9763-b903696fed1f · outbound

This paper cites Frigeri, On a nonlocal Cahn–Hilliard/Navier–Stokes system with degenerate mobility and singular poten- tial for incompressible fluids with different densities, Ann.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Frigeri, On a nonlocal Cahn–Hilliard/Navier–Stokes system with degenerate mobility and singular poten- tial for incompressible fluids with different densities, Ann

Reference 30

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Observation aed9f3a0-c617-4ec7-bf1e-fea51bc946e4 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.714746Z

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Observation 1caf1198-d34a-4285-908a-61817966612b · outbound

This paper cites Georgiadis, Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non- degenerate mobility, Z.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Georgiadis, Energy identity for the incompressible Cahn–Hilliard/Navier–Stokes system with non- degenerate mobility, Z

Reference 32

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Observation 5b9ab48f-c312-4a73-a8af-fc43bd43bfe1 · outbound

This paper cites Giorgini, Well-posedness of the two-dimensional Abels–Garcke–Grün model for two-phase flows with unmatched densities, Calc.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Giorgini, Well-posedness of the two-dimensional Abels–Garcke–Grün model for two-phase flows with unmatched densities, Calc

Reference 33

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Observation 627ff525-b48f-4585-95c3-874598cb094a · outbound

This paper cites Giorgini, Existence and stability of strong solutions to the Abels–Garcke–Grün model in three dimensions, Interfaces Free Bound.,24(4) (2022), 565–608.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Giorgini, Existence and stability of strong solutions to the Abels–Garcke–Grün model in three dimensions, Interfaces Free Bound.,24(4) (2022), 565–608

Reference 34

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Observation dc97a7c8-8cf2-4152-a872-b915951e4626 · outbound

This paper cites Giorgini, M.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Giorgini, M

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.726787Z

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Observation da5b84ce-68ed-40aa-b6d4-10c3bb7f41be · outbound

This paper cites Grasselli, B.-H.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Grasselli, B.-H

Reference 36

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Observation d2e148c9-a0e4-4ee0-8c00-da95dac3c0de · outbound

This paper cites Grasselli, A.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Grasselli, A

Reference 37

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 38

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 39

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Observation 5c975897-721a-4243-be19-bafe4fbdeadf · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 40

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Observation 3a6d28f2-1a7a-4aac-bc56-f9aacb0ab1f2 · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Kufner, O

Reference 41

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 42

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 43

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 44

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 45

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 46

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Observation d92465f3-3e6f-4320-8742-9beb43982a24 · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 47

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 48

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Observation 4ca93421-3674-423d-8e03-e366d14d45da · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Lowengrub, L

Reference 49

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Observation 139a7475-2f57-4dba-800d-d61eaabe0b6a · outbound

This paper cites Prodi, Un teorema di unicit` aper le equazioni di Navier–Stokes, Ann.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Prodi, Un teorema di unicit` aper le equazioni di Navier–Stokes, Ann

Reference 50

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Observation b82eb997-d33e-4354-a60a-3b8300c2b0ea · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Serrin, The initial value problem for the Navier–Stokes equations

Reference 51

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Observation 00ff30af-2b52-407d-94d8-576b10c26904 · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

Reference 52

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Observation 03478a47-2f29-499b-ade2-c85b14e82543 · outbound

This paper cites Shinbrot, The energy equation for the Navier–Stokes system, SIAM J.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Shinbrot, The energy equation for the Navier–Stokes system, SIAM J

Reference 53

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Observation 30dade5d-f583-45fa-8098-f20ce2b045a4 · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Shokrpour Roudbari, G

Reference 54

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Observation cd33ca90-3c42-441f-abc3-3c18e3c0e84c · outbound

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Sohr,The Navier–Stokes Equations

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-02T17:31:08.788188Z

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Observation dfd6fe0c-4e02-45c5-a77b-9e3541ec1197 · outbound

This paper cites an unresolved cited work.

On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

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On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability Unresolved cited work

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Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential cites this paper.

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential On a thermodynamically consistent diffuse interface model for incompressible two-phase flows with unmatched densities: Energy equality and Lyapunov stability

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