Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (288 KB) | Metadata | Table of Contents | ZAA summary
Published online: 2020-01-24
Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq EquationsZhuan Ye (1) Jiangsu Normal University, Xuzhou, China
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.
Keywords: Nonhomogeneous fluid, blow-up criterion, strong solution, vacuum
Ye Zhuan: Blow-Up Criterion of Strong Solution with Vacuum for the 2D Nonhomogeneous Density-Temperature-Dependent Boussinesq Equations. Z. Anal. Anwend. 39 (2020), 83-101. doi: 10.4171/ZAA/1652