This $102,609 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research to analyze partial differential equations (PDEs) modeling the dynamics of thin filaments immersed in viscous fluids. The project aims to address fundamental PDE questions inspired by these immersed filament models at two scales: (1) the dynamics of a single filament, and (2) the collective dynamics of many filaments. Key products include developing PDE theory for a novel free boundary problem coupling filament dynamics with a 3D fluid background, and quantifying how motility affects mixing and transport in suspensions of motile filaments. The research will also contribute to course development and student training opportunities. The award is held by the University of Wisconsin System, with the work performed by the University of Wisconsin - Madison under its Research and Sponsored Programs division.
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