This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences (CFDA 47.049) program provides USD 231,575 to Georgia TECH Research Corp to conduct research on the dynamics of nonlinear dispersive equations. The project aims to establish stability results for solitons, study their dynamics, and understand the soliton resolution conjecture for general solutions. It combines techniques from partial differential equations, harmonic analysis, asymptotic analysis, dynamical systems, and spectral theory to explore qualitative descriptions of dispersive wave dynamics from three distinct perspectives: multi-soliton dynamics, asymptotic stability of topological solitons, and the dynamics of integrable systems and their perturbations. The project also provides research training opportunities for graduate students. The award period runs from July 15, 2024 through June 30, 2027.
Generated 3/18/25, 5:27 AM