This $145,000 Project Grant awarded by the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports collaborative research on the fundamental theory of wave turbulence. The research at Texas A&M University will tackle challenging problems at the intersection of physics and mathematical analysis, including the rigorous derivation of wave kinetic equations, analysis of the kinetic equation for the Fermi-Pasta-Ulam-Tsingou chain, and well-posedness of a geometric wave equation via Feynman diagrams. The work aims to advance interdisciplinary methods and tools blending techniques from fields such as harmonic analysis, probability, combinatorics, and quantum field theory. The project will also facilitate collaborations, disseminate research findings, and provide research opportunities for undergraduate and graduate students.
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