This proposal is concerned with research in theoretical and computational nonlinear wave interaction problems and the chaotic mixing associated with unstable interface-wave interactions. Mathematical theory of hyperbolic equations will be developed and will be used to the maximum extent possible within the computational procedure. Reversing this process, computation will be used as a support to the development of mathematical theory. Such theoretical developments are basic inputs to front tracking computations, which allow high resolution study multidimensional wave interactions. Chaotic flow regimes require stochastic models, which are tested using high resolution front tracking techniques.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
8901884
Program Officer
Alvin I. Thaler
Project Start
Project End
Budget Start
1989-07-01
Budget End
1992-06-30
Support Year
Fiscal Year
1989
Total Cost
$387,131
Indirect Cost
Name
State University New York Stony Brook
Department
Type
DUNS #
City
Stony Brook
State
NY
Country
United States
Zip Code
11794