数学季刊 >

2016 , Vol. 31 >Issue 1: 51 - 59

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.007

一类三维 Boussinesq 系统的渐近极限

展开
  • Basic Courses Department, Institute of Disaster Prevention
LI Lin-rui(1983-), female, native of Nanyang, Henan, a lecturer of Institute of Disaster Prevention, Ph.D., engages in nonlinear partial di®erential equations; WANG Ke(1983-), female, native of Sanhe, Hebei, a lecturer of Institute of Disaster Prevention, engages in nonlinear partial differential equations; HONG Ming-li(1982-), female, native of Nanan, Fujian, a lecturer of Institute of Disaster Prevention, M.S.D., engages in nonlinear partial differential equations.

收稿日期: 2015-06-19

  网络出版日期: 2020-11-17

基金资助

Supported by the Youth Science Fund for Disaster Prevention and Reduction(201207)； Supported by the Teachers’Scientific Research Fund of China Earthquake Administration(20140109)；

收起

The Asymptotic Limit for the 3D Boussinesq System

Expand
  • Basic Courses Department, Institute of Disaster Prevention
LI Lin-rui(1983-), female, native of Nanyang, Henan, a lecturer of Institute of Disaster Prevention, Ph.D., engages in nonlinear partial di®erential equations; WANG Ke(1983-), female, native of Sanhe, Hebei, a lecturer of Institute of Disaster Prevention, engages in nonlinear partial differential equations; HONG Ming-li(1982-), female, native of Nanan, Fujian, a lecturer of Institute of Disaster Prevention, M.S.D., engages in nonlinear partial differential equations.

Received date: 2015-06-19

  Online published: 2020-11-17

Supported by

Supported by the Youth Science Fund for Disaster Prevention and Reduction(201207)； Supported by the Teachers’Scientific Research Fund of China Earthquake Administration(20140109)；

Fold

摘要

In this paper, we show the asymptotic limit for the 3D Boussinesq system with zero viscosity limit or zero diffusivity limit. By the classical energy method, we prove that as viscosity(or diffusivity) coefficient goes to zero the solutions of the fully viscous equations converges to those of zero viscosity(or zero diffusivity) equations, which extend the previous results on the asymptotic limit under the conditions of the zero parameter(zero viscosity ν = 0 or zero diffusivity η = 0) in 2D case separately. 

关键词： Boussinesq system; vanishing viscosity limit; vanishing di?usivity limit; energy method

本文引用格式

李林锐, 王可, 洪明理 . 一类三维 Boussinesq 系统的渐近极限[J]. 数学季刊, 2016 , 31(1) : 51 -59 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.01.007

Abstract

In this paper, we show the asymptotic limit for the 3D Boussinesq system with zero viscosity limit or zero diffusivity limit. By the classical energy method, we prove that as viscosity(or diffusivity) coefficient goes to zero the solutions of the fully viscous equations converges to those of zero viscosity(or zero diffusivity) equations, which extend the previous results on the asymptotic limit under the conditions of the zero parameter(zero viscosity ν = 0 or zero diffusivity η = 0) in 2D case separately. 

Key words： Boussinesq system; vanishing viscosity limit; vanishing di?usivity limit; energy method

Options
文章导航

/

〈 〉

版权所有 © 《数学季刊》编辑部
地址：河南省开封市明伦街85号河南大学数学季刊编辑部
电话：0371-23881698　E-mail: sxjk@henu.edu.cn　QQ: 2454327236
本系统由北京玛格泰克科技发展有限公司设计开发　技术支持：support@magtech.com.cn