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Zeitschrift für Analysis und ihre Anwendungen


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Volume 40, Issue 2, 2021, pp. 153–166
DOI: 10.4171/ZAA/1677

Published online: 2021-03-30

Global Strong Solution of Nonhomogeneous Bénard System with Large Initial Data and Vacuum in a Bounded Domain

Xin Zhong[1]

(1) Southwest University, Chongqing, China

We study an initial boundary value problem of two-dimensional nonhomogeneous Bénard system with nonnegative density. We derive the global existence of a unique strong solution. In particular, the initial data can be arbitrarily large.

Keywords: Nonhomogeneous Bénard system, global strong solution, large initial data, vacuum

Zhong Xin: Global Strong Solution of Nonhomogeneous Bénard System with Large Initial Data and Vacuum in a Bounded Domain. Z. Anal. Anwend. 40 (2021), 153-166. doi: 10.4171/ZAA/1677