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

SU Xing, CAO Jie, ZHANG Jian-lin

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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）；

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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

Cite this article

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

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