Chinese Quarterly Journal of Mathematics ›› 2016, Vol. 31 ›› Issue (1): 102-110.doi: 10.13371/j.cnki.chin.q.j.m.2016.01.013

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

  

  1. 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);

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 H1+s×H1+s, where s ∈(0, 1),the persistence of regularity holds. 

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

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