Pith. sign in

REVIEW 1 cited by

Lagrangian solutions to the transport--Stokes system

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 2303.05797 v1 pith:ULSXP34M submitted 2023-03-10 math.AP

Marco Inversi This is my paper · ORCID
classification math.AP
keywords solutionsdatainitiallagrangiansystemtransport--stokesapproachaxisymmetric
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

In this paper we consider the transport--Stokes system, which describes the sedimentation of particles in a viscous fluid in inertialess regime. We show existence of Lagrangian solutions to the Cauchy problem with $L^1$ initial data. We prove uniqueness of solutions as a corollary of a stability estimate with respect to the 1-Wasserstein distance for solutions with initial data in a Yudovich-type refinement of $L^3$, with finite first moment. Moreover, we describe the evolution starting from axisymmetric initial data. Our approach is purely Lagrangian.

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. KoopAGRU: A Koopman-based Anomaly Detection in Time-Series using Gated Recurrent Units

    cs.LG 2025-01 conditional novelty 5.0 of 10

    KoopAGRU, a GRU-based Koopman model with FFT time-variant/invariant decomposition, reports an average F1 of 90.88% on five anomaly detection benchmarks, exceeding cited baselines.

Pith tools