二维空间中非线性&nbsp;Boussinesq 方程的持续正则性

苏兴 , 曹洁 , 张建林

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

数学季刊 >

2016 , Vol. 31 >Issue 1: 102 - 110

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.01.013

二维空间中非线性 Boussinesq 方程的持续正则性

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

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.

收稿日期: 2015-11-11

网络出版日期: 2020-11-18

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）；

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

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

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.

Received date: 2015-11-11

Online published: 2020-11-18

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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

本文引用格式

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

Abstract

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

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

摘要

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Abstract