Differential Equations and Continuum Mechanics
Final rept. 1 Aug 88-31 Jul 90,
CALIFORNIA INST OF TECH PASADENA FIRESTONE FLIGHT SCIENCES LAB
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Work has continued in two simultaneous veins. 1 Models have been developed to attempt to realistically account for recent observations involving new classes of polymerpenetrant systems. The attempt has been to account for their properties as they are currently being used in certain emerging technologies such as novel pharmaceutical delivery systems and separating membranes. 2 Since most of the new observations involve various aspects of non-Fickian diffusion coupled with viscoelastic mechanical properties, the mathematical models usually involve degenerate parabolic systems which give rise to new and fascinating types of mathematical behavior. They have provided the impetus to develop interesting analytical and numerical techniques.
- Numerical Mathematics