二维空间中非线性 Boussinesq 方程的持续正则性

doi:10.13371/j.cnki.chin.q.j.m.2016.01.013

数学季刊 ›› 2016, Vol. 31 ›› Issue (1): 102-110.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.013

• • 上一篇

二维空间中非线性 Boussinesq 方程的持续正则性

1. College of Information Science and Technology, Donghua University2. Department of Applied Mathematics, Zhongyuan University of Technology

收稿日期:2015-11-11 出版日期:2016-03-30 发布日期:2020-11-18
作者简介:SU Xing(1984-), male, native of Xingtai, Hebei, a Ph.D. candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.
基金资助:
Supported by the National Natural Science Foundation of China(11271066)； Supported by the Innovation Program of Shanghai Municipal Education Commission(13ZZ048)； Supported by the the Science Foundation of Hebei Province(A2013410007)； Supported by the Fundamental Research Funds for the Central Universities（SUSF-DH-D-2015085）；

A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two

1. College of Information Science and Technology, Donghua University2. Department of Applied Mathematics, Zhongyuan University of Technology

Received:2015-11-11 Online:2016-03-30 Published:2020-11-18
About author:SU Xing(1984-), male, native of Xingtai, Hebei, a Ph.D. candidate of Donghua University, engages in nonlinear evolution equations and infinite-dimensional dynamical systems.
Supported by:
Supported by the National Natural Science Foundation of China(11271066)； Supported by the Innovation Program of Shanghai Municipal Education Commission(13ZZ048)； Supported by the the Science Foundation of Hebei Province(A2013410007)； Supported by the Fundamental Research Funds for the Central Universities（SUSF-DH-D-2015085）；

摘要/Abstract

摘要： This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data（u₀, θ₀） in H^1+s×H^1+s, where s ∈（0, 1）,the persistence of regularity holds.

关键词: the Cauchy problem, nonlinear Boussinesq system, persistence of regularity

Abstract: This paper investigates the Cauchy problem for the nonlinear Boussinesq system in dimension two, and prove that for any initial data（u₀, θ₀） in H^1+s×H^1+s, where s ∈（0, 1）,the persistence of regularity holds.

Key words: the Cauchy problem, nonlinear Boussinesq system, persistence of regularity

中图分类号:

O175.29

苏兴 , 曹洁 , 张建林. 二维空间中非线性 Boussinesq 方程的持续正则性[J]. 数学季刊, 2016, 31(1): 102-110.

SU Xing, CAO Jie, ZHANG Jian-lin. A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two[J]. Chinese Quarterly Journal of Mathematics, 2016, 31(1): 102-110.

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二维空间中非线性 Boussinesq 方程的持续正则性

1. College of Information Science and Technology, Donghua University2. Department of Applied Mathematics, Zhongyuan University of Technology

A Remark on Persistence of Regularity for the Nonlinear Boussinesq System in Dimension Two

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