Work

Scaling-Invariant Serrin Criterion via One Row of the Strain Tensor for the Navier–Stokes Equations

Year: 2024

Type: article

Abstract: Miller (Arch. Rational Mech. Anal., 2020) posed the question of whether it is possible to prove the Navier–Stokes regularity criterion using only one entry of the strain tensor Sij. Although this paper does not fully address this question, we do establish several scaling-invariant Serrin-type criteria based on one row of the strain tensor.

Source: Mathematics

DOI: 10.3390/math12193063

Authors: Juan Du, Fan Wu

Institutions: Yuncheng University, Jiangxi University of Water Resources and Electric Power, Nanchang Institute of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4402990746

FWCI: 1.53

Cites: 25

Cited by: 2

Related to: 10