The University of Southern California was awarded a $313,002 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support research into partial differential equations modeling fluid dynamics and fluid-structure interaction, with a focus on establishing existence, uniqueness, and asymptotic behavior of solutions. Key deliverables include studies of fluid models with evolving boundaries, such as the Euler system with a free interface, and analysis of the Boussinesq system regarding persistence of regularity and long-term behavior of solutions. The award also provides research training for graduate students. The three-year grant period began on July 15, 2022 and is scheduled to conclude on June 30, 2025.
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