三维Boussinesq流体方程组压力的正则性准则

李晓, 李迎超

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

数学季刊 >

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

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

三维Boussinesq流体方程组压力的正则性准则

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Huanghe Jiaotong University

收稿日期: 2019-07-15

网络出版日期: 2020-08-23

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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

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

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李晓, 李迎超 . 三维Boussinesq流体方程组压力的正则性准则[J]. 数学季刊, 2019 , 34(3) : 323 -330 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.03.010

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

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