On continuation criteria for the double-diffusive convection system in Vishik spaces

Abstract

This paper proves the continuation criteria of the strong solution for the 3D double-diffusive convection system involving the deformation tensor in Vishik spaces. As a bi-product, our theorem also improve some well-known results on conditional regularity for the particular case of classical Navier–Stokes equations.

Keywords:

• Double-diffusive convection system
• continuation criteria
• strain matrix

Mathematics Subject Classifications (2010):

• 35Q35
• 76D03
• 35Q30

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data Availability Statement

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

Additional information

Funding

This work was supported by the Science and Technology Project of Jiangxi Provincial Department of Education (GJJ2201524), and the Jiangxi Provincial Natural Science Foundation (Grant: 20224BAB211003).