Special Session 128: New Trends in Mathematical Fluid Dynamics and Related Problems

Global well-posedness of a reduced model for micropolar fluids
Francesco Fanelli
Basque Center for Applied Mathematics
Spain
Co-Author(s):    
Abstract:
In this talk, we introduce a reduced model for micropolar fluids. By resorting to a suitable ``good unknown`` for the system, we show global persistence of regularity for smooth initial data, as well as global well-posedness for Yudovich-type initial data. This talk is based on joint works with Pedro Fern\`andez-Dalgo (Basque Center for Applied Mathematics) and Mar\`ia Eugenia Mart\`inez Martini (Universidad de Chile).