This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program is supporting research by The Trustees of Columbia University in the City of New York to advance the theoretical understanding of partial differential equations, free boundary problems, and related mathematical concepts. The $273,927 award, with a performance period from July 1, 2024 to June 30, 2027, focuses on developing new methods and regularity theories for specific types of PDEs and free boundary problems that arise in applications like fluid dynamics, elastic membranes, and optimal transportation. The research outcomes will be disseminated through seminars and conferences, contributing to scientific advancements in these mathematical areas. No sub awards are planned under this grant.
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