Optimal initial condition for the local existence of strong solutions of the micropolar fluids
Abstract
In this paper, we study the micropolar fluid system in a bounded three-dimensional domain and establish a necessary and sufficient condition on the initial data for the existence of a local strong solution. Our approach is based on the theory of weak solutions, which relies essentially on rewriting the problem in integral form and applying a fixed point argument. In addition, we investigate the uniqueness of weak solutions in the class [Formula: see text] satisfying the condition [Formula: see text].
Fields of Study & Subjects
Navier-Stokes equation solutions
Fluid dynamics and aerodynamics studies
Nonlinear Partial Differential Equations
Publication details
- Journal / source
- Analysis and Applications
- Pages
- 1–22
- Publication date
- 27 February 2026
- Language
- EN