Global smooth axisymmetric solutions of the damped Boussinesq equations with zero thermal diffusion

  • Zhouyu Li

    Xi’an University of Technology, Xi’an, P. R. China
  • Guangwei Du

    Qufu Normal University, Qufu, P. R. China
  • Deze Yue

    Qufu Normal University, Qufu, P. R. China
Global smooth axisymmetric solutions of the damped Boussinesq equations with zero thermal diffusion cover
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Abstract

In this paper we study the Cauchy problem for the three-dimensional damped Boussinesq system with zero thermal diffusion. We show that the solution of this system with is globally well posed if the initial data is axisymmetric without swirl.

Cite this article

Zhouyu Li, Guangwei Du, Deze Yue, Global smooth axisymmetric solutions of the damped Boussinesq equations with zero thermal diffusion. Rend. Sem. Mat. Univ. Padova (2024), published online first

DOI 10.4171/RSMUP/171