A Regularity Criterion Via the Pressure on the Three-dimensional Boussinesq Fluid Equations

LI Xiao, LI-Ying-chao

doi:10.13371/j.cnki.chin.q.j.m.2019.03.010

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 3: 323 - 330

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.03.010

A Regularity Criterion Via the Pressure on the Three-dimensional Boussinesq Fluid Equations

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Huanghe Jiaotong University

LI Xiao(1991-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications; LI Ying-chao(1989-), male, native of Zhecheng, Henan, graduate student,engages in research on model construction.

Received date: 2019-07-15

Online published: 2020-08-23

Supported by

Supported by Youth Science Foundation Project Research(NO.11601128)

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Abstract

In this paper,we investigate the regularity criterion via the pressure of weak solutions to the Boussinesq fluid equations in three dimensions.We obtain that for ,then the weak solution(u,θ) is regular on(0,T].

Key words： Boussinesq °uid equations; pressure; partial derivative

Cite this article

LI Xiao, LI-Ying-chao . A Regularity Criterion Via the Pressure on the Three-dimensional Boussinesq Fluid Equations[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(3) : 323 -330 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.010

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