Project Grant 2606568
- The National Science Foundation Division of Mathematical Sciences awarded the Board of Regents of the University of Nebraska $299,873 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical frameworks for nonlocal boundary interactions in complex systems. The project will establish analytical and computational foundations for boundary-driven nonlocal dynamics, developing nonlocal trace, flux, and boundary transmission operators; proving...
- 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 Division of Mathematical Sciences awarded $166,327 to The Research Foundation For The State University Of New York, operating as Farmingdale State College, on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports development of numerical algorithms and computational models for fluid-porous flow systems in which fluid partly flows freely and partly filters through a porous medium. The research addresses...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Nebraska–Lincoln $225,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for research on differential operators, invariant theory, and homological methods in the study of singularities. The project investigates the relationship between symmetry in polynomial equations and the small-scale geometry of their solution sets through study of rings of invariants via...
- The National Science Foundation Division of Mathematical Sciences awarded $199,000 to the University of Houston System on July 1, 2026, for development of a learning-augmented multiscale modeling framework for flow in porous media, under the Mathematical and Physical Sciences program (CFDA 47.049). The project develops mathematical and computational approaches combining multiscale modeling with machine learning to improve reduced models for complex flow systems in energy and environmental...
- Federal Grant Award Summary The University of Nebraska received a $199,400 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 1, 2025, with a completion date of July 31, 2028. This collaborative research project delivers mathematical and algorithmic innovations for equation discovery through continuous data assimilation techniques. The primary deliverable is a mathematically...
- Federal Grant Award Summary The National Science Foundation's Office of Integrative Activities awarded $234,669 to the University of Nebraska Board of Regents under the Integrative Activities program (CFDA 47.083) through an EPSCOR Research Fellows Project Grant effective January 1, 2026 through December 31, 2027. This award provides a research fellowship to an Assistant Professor at the University of Nebraska-Lincoln and training support for a graduate student, enabling them to conduct...
- The National Science Foundation Division of Mathematical Sciences awarded Texas A&M University $269,999 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and analyze optimal data assimilation algorithms for computational models of physical systems. The project addresses the mathematical theory of finite element methods in cases where a physical law governing behavior inside a domain is known but boundary conditions are unknown or...
- The National Science Foundation awarded a $224,923 project grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049) to develop adaptive time-stepping methods for coupled fluid-structure interaction and fluid-porous medium problems from August 15, 2022 to July 31, 2025. The university will focus on creating monolithic and partitioned numerical methods using the recast Cauchy-one legged theta-like method with a variable time step for fluid-porous...
- The National Science Foundation Division of Mathematical Sciences awarded a $129,125 project grant to the Board of Regents of the University of Nebraska to support research titled "Symbolic Powers and P-Derivations" from July 1, 2021 to June 30, 2023. The grant is being administered through the University of Nebraska's Office of Sponsored Programs. The project aims to advance understanding of major problems in the mathematical and physical sciences, as outlined in the Mathematical...
The National Science Foundation Division of Mathematical Sciences awarded $254,073 to the Board of Regents of the University of Nebraska on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop foundational mathematical theory for poroelastic filtration systems. The award supports a three-year collaborative research project (period of performance through July 31, 2029) centered on regularity, stability, and control of coupled partial differential equations that model interactions between moving fluids and deformable porous materials. Work addresses gaps in mathematical characterization of filtration dynamics relevant to subsurface flow in geosciences, environmental engineering, energy extraction, biological tissues, and biomedical devices. The research focuses on developing regularity theory and spectral properties for fluid-poroelastic structure interactions across inertial, quasi-static, compressible, and incompressible regimes, with results intended to support subsequent stability analyses, control strategies, and accurate numerical simulations. Performance occurs at the University of Nebraska's Lincoln campus (Lincoln, NE 68503).
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $254.1k | 7/31/26 |