Project Grant 2349981
- 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...
- This National Science Foundation project grant award of $540,000 provides funding from August 1, 2022 to July 31, 2025 to support research into relativistic plasmas under extreme conditions. The award is made under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the principal investigator at Arizona State University will investigate the role of super-strong magnetic fields on observable...
- This Project Grant, awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports collaborative research on microscale plasma processes in shock and turbulent environments. The $341,464 award to Columbia University, spanning August 2024 to July 2027, will focus on two key areas: 1) particle heating and acceleration in shocks, and 2) thermodynamics and transport driven by large-scale turbulence. The research aims to develop...
- This $1.03M project grant, awarded September 1, 2025, by the National Science Foundation (NSF) Division of Physics under the Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research between the University of Nebraska-Lincoln and the University of Texas at Austin to develop theoretical and experimental techniques for controlling plasma dynamics and energy transfer in Vlasov plasmas. The primary deliverables include advanced analytical and numerical methods for...
- This Project Grant award of $311,106 from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research by Brown University on several important mathematical problems in physics, fluid dynamics, and general relativity. The key research objectives include: Studying the "ghost effect" in heat conduction and constructing dynamical stability for related kinetic models. Developing global solutions for fundamental plasma physics models...
- This Project Grant award, provided by the National Science Foundation (NSF) under its Mathematical and Physical Sciences program (CFDA 47.049), enables continued experimental exploration of eruptive plasma behavior in a laboratory setting. The $597,571 award, effective September 1, 2024 through August 31, 2027, supports research aimed at advancing the understanding of multi-scale phenomena in real plasmas. The project will focus on studying the observed X-ray generation in a magnetized,...
- This National Science Foundation (NSF) Division of Physics Project Grant award of $340,000 supports collaborative research between Columbia University and the University of Wisconsin-Madison to advance the understanding of microscale plasma processes in shock and turbulent environments. The project aims to develop physics-based models of kinetic, non-equilibrium processes in astrophysical plasmas, focusing on particle heating/acceleration in shocks and thermodynamics/transport driven by...
- The National Science Foundation (NSF) awarded a $904,240 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Rochester to support an effort to understand the complexities of turbulence in high energy density plasmas. The 3-year project, running from August 1, 2024 to July 31, 2027, aims to characterize plasma turbulence across different scales using advanced interferometry and imaging diagnostics at the university's HADES pulsed power facility....
- This three-year Project Grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $704,826, supports research into many-particle systems with singular interactions at New York University from June 2023 through May 2026. The research focuses on rigorously deriving effective laws and theories for collective behavior in systems of particles interacting with singular forces like the Coulomb force. Specific aims include obtaining convergence results for...
- This collaborative research project grant, awarded by the National Science Foundation (NSF) Division of Physics under the Mathematical and Physical Sciences program (CFDA 47.049), provides $327,747 in funding to the University of New Hampshire (in collaboration with the University of Alaska, Fairbanks) to conduct theoretical and computational research on kinetic-scale structure formation and stability in collisionless magnetized plasmas. The three-year project, running from September 1, 2025...
SURVIVAL THRESHOLD FOR COLLECTIVE PLASMA OSCILLATIONS -THE MAIN OBJECTIVE OF THIS PROJECT IS TO INVESTIGATE QUESTIONS ABOUT THE FINAL STATES OF MATTER CONSISTING OF A SUFFICIENTLY LARGE NUMBER OF INTERACTING PARTICLES SUCH AS PLASMAS IN PLASMA PHYSICS AND CONDENSATES IN QUANTUM MECHANICS. THE RESEARCH WILL ADVANCE THE UNDERSTANDING OF TURBULENCE IN PLASMA PHYSICS AND QUANTUM MECHANICS, PROVIDE FOUNDATIONAL MATHEMATICS TO TACKLE UNSOLVED PROBLEMS IN PHYSICS, AND PUSH THE BOUNDARIES OF CURRENT MATHEMATICAL TECHNIQUES. THE RESEARCH WILL CONTRIBUTE NEW TECHNIQUES TO THE THEORY OF PARTIAL DIFFERENTIAL EQUATIONS, MATHEMATICAL PHYSICS, DYNAMICAL SYSTEMS, AND APPLIED MATHEMATICS. THE PROJECT INCLUDES ACTIVITIES AIMED AT TRAINING GRADUATE STUDENTS AND YOUNG RESEARCHERS. THE PROJECT WILL PROVE LONGSTANDING CONJECTURES CONCERNING THE LARGE TIME BEHAVIOR OF SOLUTIONS TO THE MATHEMATICAL MEAN FIELD MODELS THAT ARE USED IN PLASMA PHYSICS AND QUANTUM MECHANICS. THE PRIMARY MATHEMATICAL MODELS UNDER INVESTIGATION INCLUDE THE RELATIVISTIC VLASOV-MAXWELL SYSTEM AND THE HARTREE EQUATIONS USED TO MODEL THE NONLINEAR COLLECTIVE EFFECTS OF INFINITELY MANY INTERACTING PARTICLES. THE RESEARCH WILL RIGOROUSLY VALIDATE NONLINEAR PHYSICAL PHENOMENA INCLUDING PLASMA OSCILLATIONS, PHASE TRANSITION, PHASE MIXING, LANDAU DAMPING, AND THE FORMATION OF COHERENT STRUCTURES. THE SCATTERING THEORY AS WELL AS THE FORMATION OF PERIODIC STRUCTURES FOR THE VLASOV AND HARTREE EQUATIONS NEAR NONTRIVIAL TRANSLATION-INVARIANT EQUILIBRIA WILL BE ESTABLISHED. THE WORK OF THE PROJECT INVOLVES MATHEMATICAL TECHNIQUES FROM SPECTRAL THEORY, RESOLVENT ANALYSIS, FOURIER ANALYSIS, DISPERSIVE PDES, PROBABILITY, AND STATISTICAL PHYSICS. THIS AWARD REFLECTS NSF'S STATUTORY MISSION AND HAS BEEN DEEMED WORTHY OF SUPPORT THROUGH EVALUATION USING THE FOUNDATION'S INTELLECTUAL MERIT AND BROADER IMPACTS REVIEW CRITERIA.- SUBAWARDS ARE NOT PLANNED FOR THIS AWARD.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $132.4k | 8/14/25 | ||
| Not listed | $128.0k | 4/1/24 |