Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 271, Issue -, Pages 107-127Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2020.08.025
Keywords
2D Boussinesq equations; Global regularity; Variable viscosity
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Funding
- National Natural Science Foundation of China [11701232]
- Natural Science Foundation of Jiangsu Province [BK20170224]
- Qing Lan Project of Jiangsu Province
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This paper examines the Cauchy problem of a two-dimensional zero diffusivity Boussinesq equation model with temperature-dependent viscosity, showing the existence of a unique global smooth solution in Sobolev spaces for arbitrarily large initial data. The key argument relies on De Giorgi-Nash-Moser estimates for the vorticity equation.
In this paper we consider the Cauchy problem of a model of the two-dimensional zero diffusivity Boussinesq equations with temperature-dependent viscosity. We show that there is a unique global smooth solution to this system for arbitrarily large initial data in Sobolev spaces. Our key argument is the De Giorgi-Nash-Moser estimates for the vorticity equation. (C) 2020 Elsevier Inc. All rights reserved.
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