9704488 Han The project lies in the general area of Riemannian geometry. The investigator is to pursue questions related to scalar and Gauss curvatures, geometric PDEs (vortex sheet equation), and the geometry of harmonic maps into negatively curved surfaces. The project also contains an education component involving the undergraduate geometry curriculum. Geometric partial differential equations use techniques from various areas in geometric analysis such as harmonic maps and Riemannian geometry to solve differential equations arising in a variety of contexts. For example, the vortex sheet equation is related to the evolution of vortices in the air and other fluids as well as to phase transitions in super-conductivity.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Type
Standard Grant (Standard)
Application #
9704488
Program Officer
Christopher W. Stark
Project Start
Project End
Budget Start
1997-06-15
Budget End
2001-05-31
Support Year
Fiscal Year
1997
Total Cost
$69,407
Indirect Cost
Name
Rutgers University
Department
Type
DUNS #
City
New Brunswick
State
NJ
Country
United States
Zip Code
08901