Pith. sign in

REVIEW

Well-posedness and large time behavior of a size-structured growth-coagulation-fragmentation model

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 2504.05428 v1 pith:22EPUZHV submitted 2025-04-07 math.AP math.FA

Saroj Si , Ankik Kumar Giri This is my paper · ORCID
classification math.APmath.FA
keywords existenceweakbehaviorgrowth-coagulation-fragmentationlargeresultsize-structuredsolutions
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The existence and uniqueness of weak solutions to a size-structured growth-coagulation-fragmentation (GCF) equation with a renewal boundary condition are shown for a class of unbounded coagulation and fragmentation kernels. The existence proof is based on a weak compactness framework in the weighted $L^1$-space. This result extends the existence results of Banasiak and Lamb [14] and Ackleh et al. [2,4]. Furthermore, we establish a stability result and derive uniqueness as a direct consequence of it. Moreover, this study explores the large time behavior of weak solutions.

Discussion (0). Continue with ORCID to comment.

Pith tools