4.4 Article

Regularity Criteria of the Density-Dependent Incompressible Ideal Boussinesq and Liquid Crystals Model

Journal

ACTA APPLICANDAE MATHEMATICAE
Volume 173, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/s10440-021-00408-3

Keywords

Boussinesq; Incompressible; Blow-up criterion; Liquid crystals

Funding

  1. NSFC [11971234]
  2. National Natural Science Foundation of China [11761009]
  3. Natural Science Foundation of Jiangxi Province [20202BABL201008]

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This paper establishes regularity criteria for the density-dependent incompressible Boussinesq and liquid crystals model, with a key focus on the role of Kato-Ponce type commutator estimates.
In this paper, we prove some regularity criteria for the density-dependent incompressible Boussinesq and liquid crystals model. The Kato-Ponce type commutator estimates play a key role.

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