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- Title
On the strong solution for a diffuse interface model of non-Newtonian two-phase flows.
- Authors
Zhao, Xiaopeng; Zhou, Yong
- Abstract
The main purpose of this paper is to study the well-posedness of a diffuse interface model of non-Newtonian two-phase flows in ℝ 3 . First, we prove the local existence of a unique strong solution provided that the initial velocity and initial concentration of two phases are sufficiently regular. Then, by using the energy estimates and standard continuity argument, we show that there exists a unique global strong solution provided that the initial velocity and initial concentration are sufficiently small.
- Subjects
NON-Newtonian flow (Fluid dynamics); ENERGY consumption; NON-Newtonian fluids
- Publication
Analysis & Applications, 2024, Vol 22, Issue 4, p655
- ISSN
0219-5305
- Publication type
Article
- DOI
10.1142/S0219530523500331