Project Grant 2453348
- This $415,862 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports quantitative studies of solutions to partial differential equations at Louisiana State University from July 2022 through June 2025. The Principal Investigator will conduct research on upper bounds for nodal and singular sets of Laplace operators on smooth surfaces, bounds on nodal sets of eigenfunctions in periodic elliptic homogenization, and quantitative unique...
- This Project Grant award of $314,416, provided by the National Science Foundation (NSF) through the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental and applied research across three main areas: elliptic optimal control problems, elliptic problems with rough coefficients, and fully nonlinear elliptic partial differential equations. The research aims to develop computational tools and analyses relevant for applications in fields such as engineering, materials...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) in the amount of $209,999 supports research on the theoretical understanding of partial differential equations arising from physics and how kinetic models can elaborate on the shortcomings of original scientific theories. The research project, conducted by Louisiana State University, consists of four main components: 1) establishing the well-posedness and conditional...
- This Project Grant award of $150,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research into the asymptotic behavior of partial differential equations (PDEs) across a range of scientific applications. The Principal Investigator (PI) will investigate long-term propagation and front structure in reaction-diffusion equations, analyze limits of stochastic PDEs in physical systems, and study the effects of viscosity on shock...
- This National Science Foundation project grant of $361,251 will support research at Louisiana State University from July 1, 2022 to June 30, 2025 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will investigate novel numerical schemes for least squares problems involving elliptic partial differential equations that model steady state problems in science and engineering. This includes developing finite element methods for least squares problems in data fitting...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program provides $215,830 in funding to Louisiana State University (LSU) from July 1, 2025 to June 30, 2028. The project focuses on problems in harmonic analysis related to partial differential equations on curved spaces, with a specific focus on the Schrödinger equation in quantum mechanics. The principal investigator (PI) will investigate the regularity...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $236,282 to the University of Kansas Center for Research Inc. to study the dynamics of partial differential equations (PDEs) in bounded domains. The project will yield a universal methodology for analyzing PDEs in one and higher spatial dimensions, addressing fundamental questions about the existence, uniqueness, and stability of solutions. It will...
- This $245,851 Project Grant was awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The grant supports fundamental research on the mathematical and computational analysis of nonlinear partial differential equations (PDEs), with a focus on developing improved numerical methods and establishing regularity theory for systems of hyperbolic conservation laws. The research project aims to reformulate conservation laws in...
- This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research focused on addressing fundamental questions in partial differential equations and optimization theory. The $291,367 award, spanning July 2024 to June 2027, will advance the Principal Investigator's work on characterizing extremal functions for Morrey's inequality, studying solutions to the pressureless Euler system, and...
- 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,...
This Project Grant award of $273,892 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research on the quantitative properties of solutions to partial differential equations (PDEs). The Principal Investigator at Louisiana State University will study the sizes of the level sets of eigenfunctions for various PDE models, investigate quantitative propagation of smallness, and apply these findings to other subjects. The research aims to advance the understanding of Laplacian eigenfunctions and their applications in areas such as music, vibrations, and spectral theory. The project also provides training opportunities for undergraduate and graduate students, as well as outreach activities for K-12 students and the general public. The award period is from August 15, 2025, to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $273.9k | 8/14/25 |