JournalszaaVol. 40, No. 2pp. 153–166

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

  • Xin Zhong

    Southwest University, Chongqing, China
Global Strong Solution of Nonhomogeneous Bénard System with Large Initial Data and Vacuum in a Bounded Domain cover

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Abstract

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.

Cite this article

Xin Zhong, Global Strong Solution of Nonhomogeneous Bénard System with Large Initial Data and Vacuum in a Bounded Domain. Z. Anal. Anwend. 40 (2021), no. 2, pp. 153–166

DOI 10.4171/ZAA/1677