JournalszaaVol. 39, No. 1pp. 83–101

Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations

  • Zhuan Ye

    Jiangsu Normal University, Xuzhou, China
Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations cover

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Abstract

In this paper, we are devoted to the study of the two-dimensional (2D) nonhomogeneous density-temperature-dependent Boussinesq equations with zero diffusivity over bounded domains. We obtain a blow-up criterion in terms of the gradient of viscosity for strong solutions with vacuum. The main ingredient of the proof is the utilization of two logarithmic type inequalities.

Cite this article

Zhuan Ye, Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations. Z. Anal. Anwend. 39 (2020), no. 1, pp. 83–101

DOI 10.4171/ZAA/1652