Pith. sign in

REVIEW 1 cited by

Mass-Conserving Self-Similar Solutions to Collision-Induced Breakage Equations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2405.06757 v1 pith:QXXO6335 submitted 2024-05-10 math.AP

Ram Gopal Jaiswal , Ankik Kumar Giri This is my paper · ORCID
classification math.AP
keywords breakagemass-conservingsolutionscollision-inducedself-similarequationapproachbound
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original abstract

Existence of mass-conserving self-similar solutions to collision-induced breakage equation is shown for a specific class of homogeneous collision kernels and breakage functions. The proof mainly relies on a dynamical approach and compactness method to constructing mass-conserving stationary solutions for an evolution problem, which induces mass-conserving self-similar solutions to collision-induced breakage equation. Furthermore, we also determine lower and upper bound of the scaling profile.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Mass-conserving weak solutions to the continuous nonlinear fragmentation equation in the presence of mass transfer

    math.AP 2024-11 conditional novelty 5.0 of 10

    Mass-conserving weak solutions to the continuous collision-induced fragmentation equation with mass transfer exist globally for collision kernels of homogeneity at least 1, locally for homogeneity below 1, with superl...

Pith tools