Project Grant 2541807
- The University of Maryland, College Park will receive $340,000 from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on the regularity and stability analysis of free-boundary problems in fluid dynamics from August 1, 2022 to July 31, 2025. The project focuses on mathematical models commonly used in fluid dynamics applications involving dynamic, evolving boundaries between fluid domains. The university researchers will study...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to the University of Maryland, College Park on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in soliton dynamics for nonlinear evolution equations. The recipient will conduct theoretical research on how waves behave under nonlinear conditions, focusing on the long-time dynamics of solutions to nonlinear evolution equations that admit topological solitons....
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland Baltimore County $150,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct collaborative research on the regularity, stability, and control of poroelastic filtration systems. The award funds development of foundational mathematical theory for partial differential equations that model interactions between moving fluids and deformable porous...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the University of Maryland, College Park $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and analyze partial differential equation models of collective behavior in biological systems, with emphasis on nonlocal interactions and free-boundary problems. The investigator will construct mathematical models explaining how individual-level...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $198,164 on February 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel mathematical methods for analyzing the well-posedness and long-time behavior of reaction-diffusion and kinetic equations that model physical, chemical, and biological systems. The project, running through May 31, 2029, integrates graduate and undergraduate research...
- The National Science Foundation Division of Mathematical Sciences awarded $235,139 to the University of Maryland, College Park on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on multi-soliton dynamics for dispersive partial differential equations. The research investigates the long-time behavior of solutions to nonlinear wave and dispersive equations, with emphasis on topological solitons—localized solitary waves used to model...
- The University of Maryland, College Park received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will fund research into free boundary problems for aggregation phenomena and partial differential equations from August 1, 2023 through July 31, 2026. Specifically, the university will study relationships between local interactions and collective motion in...
- Federal Project Grant Award Summary The Division of Mathematical Sciences (DMS) within the National Science Foundation awarded $300,000 to the University of Maryland, College Park under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct fundamental research on partial differential equations (PDEs) from July 1, 2025 through June 30, 2028. The project addresses three canonical classes of nonlinear PDEs: Euler alignment systems modeling emergent crowd dynamics, nonlinear...
- Federal Project Grant Award Summary The University of Maryland, College Park received a $420,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025, through July 31, 2028. This three-year research initiative focuses on developing computational tools and mathematical models for nonlinear geometric partial differential equations (PDEs) with applications to slender...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $200,000 on August 15, 2026, as a project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to research random and stochastic dynamical systems whose evolution laws change with time. The recipient will study the dynamics of systems with time-varying rules, focusing on random dynamical systems and the emergence of chaotic behavior through statistical...
The National Science Foundation Division of Mathematical Sciences awarded the University of Maryland, College Park $259,895 on August 1, 2026, under the CAREER program (CFDA 47.049 Mathematical and Physical Sciences) to advance rigorous understanding of interfacial fluid mechanics through mathematical analysis of partial differential equations governing fluid motion at dynamic boundaries. The project studies prototypical problems in both inviscid and viscous fluid regimes, including water wave and internal wave problems for inviscid fluids, and free boundary Stokes, Navier-Stokes, and incompressible porous media equations for viscous fluids. The research focuses on long-time dynamics and stability of solutions near nontrivial equilibria with respect to various perturbation types, addressing the highly nonlocal and nonlinear character of interfacial dynamics where domain boundaries evolve coupled with fluid evolution. The research plan integrates education through new courses and research opportunities. The investigator will establish summer research projects for undergraduate students and a biannual PDE workshop and summer school program in collaboration with the Brin Mathematics Research Center at University of Maryland, College Park. The award covers the five-year period from August 1, 2026, through July 31, 2031, with place of performance in College Park, Maryland.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $259.9k | 7/28/26 |