This research program investigates the competition between dissipative mechanisms such as frictions and the destabilizing action of nonlinearity of the material response. The corresponding nonlinear evolution (partial differential) equations exhibit both hyperbolic and parabolic characters. Their analysis for the qualitative behavior of the physical system poses new and difficult mathematical problems. Specific results from the research program are expected to provide insight to physical problems such as shear band formation for strain-rate dependent materials and the motion of viscoelastic materials with fading memory.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8716132
Program Officer
Camelita Sellars-Wright
Project Start
Project End
Budget Start
1987-07-15
Budget End
1990-06-30
Support Year
Fiscal Year
1987
Total Cost
$28,000
Indirect Cost
Name
University of Wisconsin Madison
Department
Type
DUNS #
City
Madison
State
WI
Country
United States
Zip Code
53715