Regularity criterion for the Navier–Stokes system with a cubic source term

Abstract The regularity criterion of Kozono and Shimada is shown to apply to the n dimensional Navier–Stokes system with a cubic source term $$|u|^2u$$ | u | 2 u for $$n \ge 2$$ n ≥ 2 . A related conjecture is also proposed.

Authors

Institutions

Publication Details

Journal
ANNALI DELL UNIVERSITA DI FERRARA
Published
2026-09-24
DOI
https://doi.org/10.1007/s11565-026-00761-x
Primary Topic
Navier-Stokes equation solutions
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
article

Regularity criterion for the Navier–Stokes system with a cubic source term

Jishan Fan, Tohru Ozawa
ANNALI DELL UNIVERSITA DI FERRARA
Navier-Stokes equation solutions
article

Regularity criterion for the Navier–Stokes system with a cubic source term

Jishan Fan, Tohru Ozawa
article en

Abstract

Abstract The regularity criterion of Kozono and Shimada is shown to apply to the n dimensional Navier–Stokes system with a cubic source term $$|u|^2u$$ | u | 2 u for $$n \ge 2$$ n ≥ 2 . A related conjecture is also proposed.

ANNALI DELL UNIVERSITA DI FERRARAVol. 72(4)
Waseda University (JP), Nanjing Forestry University (CN)
Openalex Percentile: Top 7%
Navier-Stokes equation solutions
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Regularity criterion for the Navier–Stokes system with a cubic source term — Jishan Fan, Tohru Ozawa · ANNALI DELL UNIVERSITA DI FERRARA (2026) | TGRS Research Map | TGRS