Two-dimensional incompressible micropolar fluid models with singular initial data

This paper deals with the interaction between microstructures and appearance or persistence of singular configurations in Cauchy problem for two-dimensional model incompressible micropolar fluids. We analyze case null angular viscosity initial data, including possibility vortex sheets measures as data Morrey spaces. Through integral techniques we establish existence weak solutions local global time. In addition, uniqueness stability these is analyzed. • Analysis Vortex fluids by a constructive approach. Propagation singularities influence Viscosity regularizes macroscopic structures, but not microstructure. Possibility combining rotation, aggregation fragmentation at micromacro scales.