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Minimize RSR Award Detail

Research Spending & Results

Award Detail

Awardee:TRUSTEES OF PRINCETON UNIVERSITY, THE
Doing Business As Name:Princeton University
PD/PI:
  • Peter Constantin
  • (609) 258-4262
  • const@math.princeton.edu
Award Date:08/04/2021
Estimated Total Award Amount: $ 500,000
Funds Obligated to Date: $ 500,000
  • FY 2021=$500,000
Start Date:08/15/2021
End Date:07/31/2025
Transaction Type:Grant
Agency:NSF
Awarding Agency Code:4900
Funding Agency Code:4900
CFDA Number:47.049
Primary Program Source:040100 NSF RESEARCH & RELATED ACTIVIT
Award Title or Description:Symmetry, Singularity, and Stability in Fluids and Plasmas
Federal Award ID Number:2106528
DUNS ID:002484665
Parent DUNS ID:002484665
Program:APPLIED MATHEMATICS
Program Officer:
  • Pedro Embid
  • (703) 292-4859
  • pembid@nsf.gov

Awardee Location

Street:Off. of Research & Proj. Admin.
City:Princeton
State:NJ
ZIP:08544-2020
County:Princeton
Country:US
Awardee Cong. District:12

Primary Place of Performance

Organization Name:Princeton University
Street:
City:Princeton
State:NJ
ZIP:08544-2020
County:Princeton
Country:US
Cong. District:12

Abstract at Time of Award

The project is aimed at the study of nonlinear phenomena in fluids and plasmas that are of mathematical interest and of physical and engineering importance. They include cavitation, jet pinch-off and drop formation under the influence of surface tension, viscosity, and electrical fields, in compressible and incompressible fluids. The project is also concerned with singular thermal plume interactions with multiscale flows. Dynamics near multiscale equilibria of incompressible fluid equations with complex structured symmetry and the construction and confinement properties of quasisymmetric plasma equilibria are a second component of the project. These issues are relevant to plasma fusion confinement. The project will also provide opportunities for the involvement of graduate students in the research. One of the main areas of the project concerns topological change in two phase fluids and singularity formation in fluid interfaces. Physical experimental and numerical evidence show that surface tension and electrical forces can produce instability and finite time pinch-off of slender fluid jets. Surface tension may rupture thin threads connecting fluid cells embedded in another fluid. Advances in nonlocal and nonlinear analysis, coupled with geometric analysis are going to be developed to study these singular events. Thermal plumes play an important role in turbulent convection and are relevant to geophysics. The dynamics of thermal plume interactions will require the use of methods of analysis involving the interplay of singular integral and Lagrangian points of view. The construction of magnetostatic equilibria with nontrivial quasisymmetry involves geometrical and nonlinear PDE methods. The investigation of the confinement properties of these equilibria involves studies of inhomogeneous kinetic models with very singular coefficients. 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.

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