| Abstract: |
| Micropolar fluids are among the simplest cases of fluids with microstructures, where each fluid particle has its own internal rotations. Examples include ferrofluids, blood flows, bubbly liquids and liquid crystals. By combining the seminal work of A. Cemal Eringen and coworkers, with the diffuse interface approach for multiphase fluid flow, we develop new diffuse interface models for binary mixtures of micropolar fluids. Using recent advances in the mathematical analysis of such types of models, we establish existence of weak solutions and discuss several asymptotic limits, such as micropolar-to-nonpolar, nonlocal-to-local convergence, as well as flow within Hele-Shaw type thin domains. |
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