The principal investigator will study certain qualitative properties of incompressible viscous fluids, compressible fluids and mixtures of fluids by using techniques of modern functional analysis and numerical analysis. In particular, she will study the long-time asymptotic behavior of solutions of the Navier-Stokes equations in two and three space dimensions, the equations of incompressible magnetohydrodynamics in three dimensions, and some integro-differential equations that model compressible flows. She will also investigate the global existence in time of solutions of a set of multiphase equations. Very often one is interested in the behavior of a physical system only after a long time. For example, once a process is started one might expect that a single type of stable behavior is the dominant observable output. Deviations from this stable behavior might be very much unwanted. The principal investigator will devote most of her efforts to study how various real-world fluid systems behave for a very long time by using modern techniques from applied mathematics and numerical analysis.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9020941
Program Officer
Project Start
Project End
Budget Start
1991-07-01
Budget End
1993-06-30
Support Year
Fiscal Year
1990
Total Cost
$60,000
Indirect Cost
Name
University of California Santa Cruz
Department
Type
DUNS #
City
Santa Cruz
State
CA
Country
United States
Zip Code
95064