The National Science Foundation Division of Mathematical Sciences awarded a $219,999 Project Grant to The Research Foundation For The State University Of New York to support the project "NOVEL CHALLENGES IN NONLINEAR WAVES AND INTEGRABLE SYSTEMS" from July 15, 2021 through June 30, 2024. The grant supports research into major problems confronting the Nation within the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen...
This $300,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research aimed at advancing the mathematical analysis of nonlinear partial differential equations. The research has three main focus areas: (1) studying fluid dynamics problems with free boundaries, such as water waves, tsunamis, and hurricanes; (2) investigating the dynamics of gases and plasmas under physical kinetic boundary conditions,...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $160,000 Project Grant to The Regents of the University of Colorado (doing business as the University of Colorado) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports fundamental research into nonlinear wave propagation, focused on enhancing scientific understanding of large amplitude waves and associated wave energy transfer dynamics. This work has potential applications for...
The National Science Foundation (NSF) awarded a $149,265 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Yale University. The grant, awarded on June 1, 2024 with a completion date of May 31, 2027, supports research focused on the mathematical foundations of nonlinear and disordered systems, with a specific emphasis on the study of solitons and their applications in quantum physics, chemistry, and materials science. The project aims to establish new...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences (CFDA 47.049) program seeks to advance the understanding of dynamical systems and the evolution from ordered to chaotic behavior. The $249,103 award to the Research Foundation of the City University of New York, effective July 1, 2024 through June 30, 2026, will support research aimed at developing new conceptual ideas, approaches, and theoretical frameworks to transcend the limitations of...
This three-year, $295,778 Project Grant from the National Science Foundation's Division of Mathematical Sciences will support research addressing long-standing problems in the nonlinear propagation of waves. The principal investigator and collaborators at the University of Chicago will conduct mathematical studies of soliton resolution for energy critical nonlinear wave equations and related models, both with and without symmetries. Quantitative unique continuation properties with connections to...
The National Science Foundation (NSF) awarded a $172,211 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Central Florida (UCF) for a 3-year research project titled "Soliton Gases for the Focusing Nonlinear Schrodinger Equation and Other Integrable Systems: Theory and Applications". The project aims to develop a rigorous spectral theory for soliton gases in integrable nonlinear equations and provide statistical...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $209,496 Project Grant to the University of Central Florida Board of Trustees Office of Research, doing business as UCF, to conduct research on nonlinear wave interactions and soliton gases in integrable dispersive partial differential equations. The three-year grant, awarded from September 1, 2023 to August 31, 2026, aims to advance the analytical and statistical modeling of soliton gas dynamics, analyze the...
This $100,972 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports fundamental research on nonlinear partial differential equations and their applications in fields such as crystal growth, combustion, and game theory. The primary investigator (PI) will study the regularity, large-time behavior, and qualitative properties of solutions to these equations, which have connections to areas like the calculus of...
The National Science Foundation's Mathematical and Physical Sciences Program (CFDA 47.049) awarded a $134,001 Project Grant to the Kennesaw State University Research And Service Foundation, Inc. to support research on nonlinear waves in discrete heterogeneous media. The grant, awarded on August 15, 2024, will run through July 31, 2027. The project will develop and refine the mathematical theory of waves in discrete, heterogeneous media by studying more complicated dimensions of material...
This $224,621 Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program supports research on nonlinear waves and solitons in integrable and non-integrable systems. The principal investigator and their team at The Research Foundation for the State University of New York (RF SUNY), Sponsored Projects Services, will conduct an in-depth investigation into the mathematical properties and physical applications of nonlinear waves. The research aims to advance the theoretical and practical understanding of physically relevant integrable systems, as well as non-integrable systems, with applications in areas like nonlinear optics and Bose-Einstein condensation. The project involves a combination of analytical, asymptotic, numerical, and experimental methods, including inverse scattering transforms, perturbation theory for solitons, and numerical simulations. The work also includes organizing conferences and supporting the training of graduate students and a postdoctoral fellow. No subawards are planned for this award, which runs from July 15, 2024 to June 30, 2027.