Paper Citation Record · LEDGER

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel

As of 20 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2412.01943.

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pith.paper-citation-record.v1
2412.01943 v1

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measured 27 of 27 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T00:09:34.454958Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

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Pith citing papers itemized under the disclosed page cap.

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27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation 6a8559b8-7f4f-4677-9038-2504c1d874a2 · outbound

This paper cites Scaling theory of fragmentation ,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Scaling theory of fragmentation ,

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.710684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae8a31bd-e5b0-4de5-92a1-a02d0e52114e · outbound

This paper cites Collision-induced breakage of agglom erates in homogenous isotropic turbulence laden with adhesive particles,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Collision-induced breakage of agglom erates in homogenous isotropic turbulence laden with adhesive particles,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.702498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2e67e59e-151b-44d7-a148-3cace0592e62 · outbound

This paper cites Explosive i ce multiplication by mechanical break-up in ice–ice collisions: a dynamical system-based s tudy,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Explosive i ce multiplication by mechanical break-up in ice–ice collisions: a dynamical system-based s tudy,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.693760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e8efe2b9-92b4-4f4a-be9c-236e6cd84952 · outbound

This paper cites Development of a multi-compartment population balance mo del for high-shear wet granu- lation with discrete element method,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Development of a multi-compartment population balance mo del for high-shear wet granu- lation with discrete element method,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.685131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 45d0c2be-f291-488f-8fb5-42db5b44a166 · outbound

This paper cites New solutions to the fragmentation equation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel New solutions to the fragmentation equation,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.676998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 888e921a-242c-4984-acdf-580d03126bb9 · outbound

This paper cites The kinetics of cluster fragmen tation and depolymerisation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel The kinetics of cluster fragmen tation and depolymerisation,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.667549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6ea39357-33bc-4c45-9c5c-e720639b972b · outbound

This paper cites Similarity solutions for the populatio n balance equation describing particle fragmentation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Similarity solutions for the populatio n balance equation describing particle fragmentation,

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.658454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ed1771c9-a60c-4c10-888a-1995f60727c5 · outbound

This paper cites A note on the self-similar solutions to the spontaneous fragmentation equation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel A note on the self-similar solutions to the spontaneous fragmentation equation,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.650563Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6dfe3add-3983-416a-8d4b-e2963cc8a1e1 · outbound

This paper cites Reconstruction-ba sed monte carlo method for accurate and eﬃcient breakage simulation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Reconstruction-ba sed monte carlo method for accurate and eﬃcient breakage simulation,

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.642033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 314eff26-c727-482b-b85c-79616a64970f · outbound

This paper cites On sectional technique s for the solution of the breakage equation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel On sectional technique s for the solution of the breakage equation,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.632423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a2426702-0309-446b-9803-b2a480bd6fe8 · outbound

This paper cites Extended metho d of moment for general pop- ulation balance models including size dependent growth rat e, aggregation and breakage kernels,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Extended metho d of moment for general pop- ulation balance models including size dependent growth rat e, aggregation and breakage kernels,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.624254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 25d6c158-8313-4ec4-b015-cd82e4887a58 · outbound

This paper cites Numerical simulation and conver gence analysis of a ﬁnite volume scheme for solving general breakage population balance equ ations,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Numerical simulation and conver gence analysis of a ﬁnite volume scheme for solving general breakage population balance equ ations,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.614917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b1447125-8a6e-47bf-97bc-f5f9fb5c7ec8 · outbound

This paper cites Finite volume approach for frag mentation equation and its mathematical analysis,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Finite volume approach for frag mentation equation and its mathematical analysis,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.606185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e4d17553-9fc4-4ad1-beb3-240ce2bb2334 · outbound

This paper cites Convergence of a ﬁnite vo lume scheme for coagulation- fragmentation equations,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Convergence of a ﬁnite vo lume scheme for coagulation- fragmentation equations,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.597971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88170a71-5412-487c-8f02-e7f86b5fa5ad · outbound

This paper cites Convergence and error estim ation of weighted ﬁnite volume scheme for coagulation-fragmentation equation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Convergence and error estim ation of weighted ﬁnite volume scheme for coagulation-fragmentation equation,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.588817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7c00dd30-81ed-44a5-86cd-e70fbf1ffd29 · outbound

This paper cites Convergence analy sis of a ﬁnite volume scheme for solving non-linear aggregation-breakage population bala nce equations,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Convergence analy sis of a ﬁnite volume scheme for solving non-linear aggregation-breakage population bala nce equations,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.579915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d7a0490d-985e-46cc-b684-5a9a6212aa09 · outbound

This paper cites Kinetics of fragmentation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Kinetics of fragmentation,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.570842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9a2e54e2-37b8-4bc2-bd56-cca02b54b612 · outbound

This paper cites Shattering transitions in collision-induced fragmentation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Shattering transitions in collision-induced fragmentation,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.562842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 00d4fd5d-0011-4047-87f7-ee77b4993c84 · outbound

This paper cites A study of the nonlinear breakage equation: analytical and asymptotic solutions,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel A study of the nonlinear breakage equation: analytical and asymptotic solutions,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.554346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2d4b0162-d5b6-43b6-b2ea-112cd3cd642d · outbound

This paper cites Global classical solutions t o the continuous coagulation equa- tion with collisional breakage,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Global classical solutions t o the continuous coagulation equa- tion with collisional breakage,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.545342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e0f3a591-29f2-4252-befd-fbc503855fd1 · outbound

This paper cites Existence and nonexistence for the collision-induced breakage equation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Existence and nonexistence for the collision-induced breakage equation,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.535991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16f5365f-b1ca-44fc-a4c3-26f3d7e26870 · outbound

This paper cites Weak solutions to the coll ision-induced breakage equation with dominating coagulation,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Weak solutions to the coll ision-induced breakage equation with dominating coagulation,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.526668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a5d5165-b109-4270-b34c-0e1239466d48 · outbound

This paper cites Non-linear col lision-induced breakage equation: Finite volume and semi-analytical methods,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Non-linear col lision-induced breakage equation: Finite volume and semi-analytical methods,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.517006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 98d413ec-d1b3-4b6c-8af7-8854c8dd51ba · outbound

This paper cites Collisional br eakage population balance equation: An analytical approach,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Collisional br eakage population balance equation: An analytical approach,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.508323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5ae12a12-1322-4a55-a018-f2ac8dcf840e · outbound

This paper cites Moments preserving ﬁnite volume approximations for the non-linear collisional fragmentation model,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Moments preserving ﬁnite volume approximations for the non-linear collisional fragmentation model,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.498571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e793a436-34c0-4a66-9730-24584ae22a7f · outbound

This paper cites The continuous coagula tion-fragmentation equatons with diﬀusion,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel The continuous coagula tion-fragmentation equatons with diﬀusion,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.489249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ed7403c-a748-4214-9c49-11ee2187d360 · outbound

This paper cites Weak compactness techniques and coagu lation equations,.

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel Weak compactness techniques and coagu lation equations,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T00:09:34.478506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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