Determination of Three-Dimensional Ladyzhenskaya Model with Shear-Dependent Viscosity
The Ladyzhenskaya fluid model is proposed to describe more complex physical phenomena of non-Newtonian fluid flow in 1960s. This paper is concerned with the determination of the nonautonomous three-dimensional Ladyzhenskaya model with shear-dependent viscosity equipped with periodic boundary conditions. Under suitable assumptions on the monotonicity of stress tensor, the boundedness of determining modes is estimated for our considered model via the generalized Grashof number by means of energy estimates and the properties of some operators.
Authors
- Mengmeng Si
- Ying Hu (ORCID: https://orcid.org/0000-0002-6330-8032)
- Xinguang Yang
Institutions
- Université Le Havre Normandie (FR)
- Laboratoire de Mathématiques Blaise Pascal (FR)
- Laboratoire de Mathématiques Appliquées du Havre (FR)
- Henan Normal University (CN)
Publication Details
- Journal
- Asymptotic Analysis
- Published
- 2026-05-10
- DOI
- https://doi.org/10.1177/09217134261446588
- Primary Topic
- Rheology and Fluid Dynamics Studies
- Type
- article
- Field-Weighted Citation Impact
- 0.00