This $270,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, will support two research programs related to the mathematical theory of fluids, gases, and plasmas.
The first program will examine non-uniqueness phenomena and instability in nonlinear partial differential equations, particularly those used in modeling incompressible fluid mechanics. The second program will investigate the structure of shock waves through a rigorous PDE analysis based on collisional kinetic theory, focusing on fundamental PDEs of plasma dynamics.
This research aims to advance the mathematical understanding of complex fluid and plasma systems exhibiting extreme small-scale behavior, addressing challenges to the predictive power of standard models. The award also provides opportunities to integrate students into the research activities. No subgrants are planned under this award, which has an ultimate completion date of May 31, 2027.
Generated 1/28/25, 7:27 AM