Existence of weak solutions to volume-preserving mean curvature flow with obstacles | Paper Citation Record

Observation a687f277-bdeb-4cc3-896a-a4a71d454a29 · outbound

This paper cites Convergence of a mass conserving allen-cahn equation whose lagrange multiplier is nonlocal and local.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Convergence of a mass conserving allen-cahn equation whose lagrange multiplier is nonlocal and local

Reference 1

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Observation 591cd526-b6a8-49a0-899d-f911a3489501 · outbound

This paper cites an unresolved cited work.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Unresolved cited work

Reference 2

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Observation d0077fef-11a8-4eda-b71b-809aafc05e06 · outbound

This paper cites Mean curvature flow with obstacles.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Mean curvature flow with obstacles

Reference 3

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Observation 3b59ea26-8571-49f8-9f9d-9111462ca3c6 · outbound

This paper cites Functions of bounded variation and free discontinuity problems.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Functions of bounded variation and free discontinuity problems

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.740006Z

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Observation 9a5b489f-606d-47c1-bffc-2ec79cfbf937 · outbound

This paper cites Asymptotic behavior of a diffused interface volume-preserving mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Asymptotic behavior of a diffused interface volume-preserving mean curvature flow

Reference 5

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Observation 9d9bb791-98a2-4def-a49e-10a63c6852f7 · outbound

This paper cites The motion of a surface by its mean curvature.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The motion of a surface by its mean curvature

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.727586Z

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Observation d6dca00d-9e0a-43da-978c-ce0f1af7b996 · outbound

This paper cites A modified phase field approximation for mean curvature flow with conservation of the volume.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles A modified phase field approximation for mean curvature flow with conservation of the volume

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.714456Z

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Observation 930eb6bb-37fb-4311-98a8-6710a5532a96 · outbound

This paper cites Phase field method for mean curvature flow with boundary constraints.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Phase field method for mean curvature flow with boundary constraints

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.701683Z

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Observation c0e1cbb9-527e-48b1-a7d7-fc3ed13839ff · outbound

This paper cites Volume-preserving mean curvature flow as a limit of a nonlocal ginzburg-landau equation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Volume-preserving mean curvature flow as a limit of a nonlocal ginzburg-landau equation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.688278Z

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Observation 845151ff-602b-43ce-ba42-be2563f835ad · outbound

This paper cites Global asymptotic limit of solutions of the cahn-hilliard equation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Global asymptotic limit of solutions of the cahn-hilliard equation

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.674907Z

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Observation 21819866-cec1-4005-9535-af4c9c916ba4 · outbound

This paper cites Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.662861Z

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Observation d9a3c723-2bed-48a2-bf03-eabb80005084 · outbound

This paper cites Elliott, Bj¨ orn Stinner, and Chandrasekhar Venkataraman.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Elliott, Bj¨ orn Stinner, and Chandrasekhar Venkataraman

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.650067Z

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Observation 1d27b019-489c-467e-8e94-3f3b244796db · outbound

This paper cites Some dynamic properties of volume preserving curvature driven flows.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Some dynamic properties of volume preserving curvature driven flows

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.637451Z

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Observation 83f8c65f-7bcc-49c1-a656-a60caa6870df · outbound

This paper cites The volume preserving mean curvature flow near spheres.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The volume preserving mean curvature flow near spheres

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.625120Z

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Observation 670d78b9-88a7-4585-b7b8-e7e2bcdbaa57 · outbound

This paper cites Evans, Halil M.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Evans, Halil M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.613415Z

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Observation bce0f5bc-be4c-4caf-9802-218e21391c6c · outbound

This paper cites Evans and Joel Spruck.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Evans and Joel Spruck

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.600647Z

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Observation 21e58391-0ffb-4a04-b4aa-80ac0bbdc776 · outbound

This paper cites On an area-preserving evolution equation for plane curves, volume 51.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles On an area-preserving evolution equation for plane curves, volume 51

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.587715Z

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Observation 99d94569-24f6-4f14-9808-eff44ff03253 · outbound

This paper cites Tran, and Longjie Zhang.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Tran, and Longjie Zhang

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.574300Z

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Observation 6de2ee62-2b60-4219-8d1c-bfa53480e356 · outbound

This paper cites Minimal Surfaces and Functions of Bounded Variation , Monographs in Math- ematics, volume 80.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Minimal Surfaces and Functions of Bounded Variation , Monographs in Math- ematics, volume 80

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.561954Z

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Observation 1cfeeca0-5212-4cf7-97c1-6d600431e2b5 · outbound

This paper cites The volume-preserving motion by mean curvature as an asymptotic limit of reaction-diffusion equations.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The volume-preserving motion by mean curvature as an asymptotic limit of reaction-diffusion equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.549356Z

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Observation 7857b077-53c1-4e25-8610-850dfabeff07 · outbound

This paper cites The volume preserving mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The volume preserving mean curvature flow

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.533456Z

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Observation 28ae5707-321d-48bf-85f6-c8f482bceb7c · outbound

This paper cites Asymptotic behavior for singularities of the mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Asymptotic behavior for singularities of the mean curvature flow

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.519069Z

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Observation 42020011-1afb-4c1b-8f13-2feaf96d4da5 · outbound

This paper cites Convergence of the allen-cahn equation to brakke’s motion by mean curvature.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Convergence of the allen-cahn equation to brakke’s motion by mean curvature

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.500823Z

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Observation 5b807639-5ec6-409b-9b13-2a8a96a6cc73 · outbound

This paper cites Convergence of the allen–cahn equation with a zero neumann boundary condition on non-convex domains.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Convergence of the allen–cahn equation with a zero neumann boundary condition on non-convex domains

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.483134Z

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Observation 0ccdc973-a583-4811-957b-f2fa4cf694ac · outbound

This paper cites Volume preserving mean curvature flow for star-shaped sets.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Volume preserving mean curvature flow for star-shaped sets

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.469553Z

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Observation 254ada52-0067-449e-a7ea-11c3e20e1d1b · outbound

This paper cites A deterministic-control-based approach to motion by curva- ture.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles A deterministic-control-based approach to motion by curva- ture

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.456769Z

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Observation ede9bff6-84d0-4444-8763-af58094bdf3a · outbound

This paper cites Quantitative convergence of the nonlocal allen-cahn equation to volume-preserving mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Quantitative convergence of the nonlocal allen-cahn equation to volume-preserving mean curvature flow

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.443496Z

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Observation 1387c8a3-7656-4c62-ab9d-dbfb66962997 · outbound

This paper cites Weak-strong uniqueness for volume-preserving mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Weak-strong uniqueness for volume-preserving mean curvature flow

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.431780Z

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Observation 8078fce0-5001-439c-b1ed-93c269fdc4dc · outbound

This paper cites an unresolved cited work.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:59:21.418245Z

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Observation bcd83242-d5f1-4d7d-a525-20dfb364b173 · outbound

This paper cites Convergence of thresholding schemes incorporating bulk effects.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Convergence of thresholding schemes incorporating bulk effects

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.404759Z

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Observation 5c16b438-e0eb-4b11-b494-211c045c590e · outbound

This paper cites Implicit time discretization for the mean cur- vature flow equation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Implicit time discretization for the mean cur- vature flow equation

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.392482Z

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Observation 3c1d80c1-6825-40d3-b1d5-7ca1eb419f98 · outbound

This paper cites Ideals of differentiable functions.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Ideals of differentiable functions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.379923Z

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Observation 22f5ef94-637b-41a4-8f9b-c524e8d5f0d5 · outbound

This paper cites Mayer and Gieri Simonett.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Mayer and Gieri Simonett

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.367318Z

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Observation 01097d02-df93-460f-b012-f4001362a939 · outbound

This paper cites Volume-preserving mean-curvature flow as a singular limit of a diffusion-aggregation equation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Volume-preserving mean-curvature flow as a singular limit of a diffusion-aggregation equation

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:59:21.142651Z

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Observation bd89389d-1afc-4939-93ba-88317a35a3d0 · outbound

This paper cites Mean curvature flow with obstacles: a viscosity approach.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Mean curvature flow with obstacles: a viscosity approach

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T21:59:20.995636Z

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Observation ee328214-b19e-474d-bedb-c8244752c533 · outbound

This paper cites Mean curvature flow with obstacles: existence, unique- ness and regularity of solutions.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Mean curvature flow with obstacles: existence, unique- ness and regularity of solutions

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.356124Z

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Observation 252a8a34-74f8-4949-b518-316d300c6e10 · outbound

This paper cites A weak-strong uniqueness principle for the Mullins-Sekerka equation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles A weak-strong uniqueness principle for the Mullins-Sekerka equation

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:59:21.106898Z

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Observation 714f2692-edd9-440f-865a-574087c03be0 · outbound

This paper cites Mizuhara, Leonid Beryland, Volodymyr Rybalko, and Lei Zhang.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Mizuhara, Leonid Beryland, Volodymyr Rybalko, and Lei Zhang

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.341276Z

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Observation 00435a7f-733f-4139-91ad-445b1ec270b2 · outbound

This paper cites A gradient bound and a liouville theorem for nonlinear poisson equations.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles A gradient bound and a liouville theorem for nonlinear poisson equations

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.328379Z

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Observation 7de04690-0053-4ec8-ae9b-324c5a208e88 · outbound

This paper cites The allen-cahn action functional in higher dimensions.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The allen-cahn action functional in higher dimensions

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.315954Z

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Observation e5cda293-be7f-4fac-b0d6-99c44c3e189d · outbound

This paper cites Global solutions to the volume- preserving mean-curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Global solutions to the volume- preserving mean-curvature flow

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.299228Z

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Observation 1cc5e58c-5d82-4662-beed-5bec7b5f4098 · outbound

This paper cites Schauder estimate for solutions of poisson’s equation with neumann boundary condition.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Schauder estimate for solutions of poisson’s equation with neumann boundary condition

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.285235Z

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Observation 49e83833-f9b5-4cd1-978e-6e77ee407238 · outbound

This paper cites On an obstacle problem for the brakke flow with a gener- alized right-angle boundary condition.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles On an obstacle problem for the brakke flow with a gener- alized right-angle boundary condition

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.272343Z

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Observation 3dc193ee-9358-4545-8c45-60647fde0f1b · outbound

This paper cites Nonlocal reaction-diffusion equations and nucleation.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Nonlocal reaction-diffusion equations and nucleation

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.259709Z

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Observation 21b13eda-d7d8-4513-8c9a-634b6fec7046 · outbound

This paper cites Lectures on Geometric Measure Theory, volume 3.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Lectures on Geometric Measure Theory, volume 3

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.245738Z

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Observation 1699944f-52fa-4214-8cca-171957599cb8 · outbound

This paper cites Existence of weak solution for volume preserving mean curvature flow via phase field method.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Existence of weak solution for volume preserving mean curvature flow via phase field method

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.230400Z

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Observation b4b861fa-59fb-4666-9519-27d69d8e473a · outbound

This paper cites On obstacle problem for brakke’s mean curvature flow.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles On obstacle problem for brakke’s mean curvature flow

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.214598Z

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Observation e06cc70c-e4e6-4450-8801-4431c780831f · outbound

This paper cites The existence of a weak solution to volume preserving mean curvature flow in higher dimensions.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles The existence of a weak solution to volume preserving mean curvature flow in higher dimensions

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.198954Z

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Observation 1d44c4a6-688e-4172-a02e-ebdf2fab5048 · outbound

This paper cites Integrality of varifolds in the singular limit of reaction-diffusion equations.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Integrality of varifolds in the singular limit of reaction-diffusion equations

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.185395Z

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Observation 0f7517fc-b65d-4047-a35c-d9660da97363 · outbound

This paper cites Analytic extensions of differentiable functions defined in closed sets.

Existence of weak solutions to volume-preserving mean curvature flow with obstacles Analytic extensions of differentiable functions defined in closed sets

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:59:21.170085Z

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