The difference between a continuum, and something with very different changes that can be measured, is important for all continuum theories.
His research interests include holomorphic dynamics, function theory, continuum theory and computational complexity theory.
It can also be used to rigorously justify the passage from discrete to continuum theories for materials, e.g. in elasticity theory.
"The continuum theory is becoming more of a trend in historic preservation," said Cynthia E. Grant, the site manager.
The researchers developed a general continuum theory for a bundle of hairs, treating each hair as an elastic filament with random intrinsic curvature.
Elastic continuum theory is a particularly powerful tool for modeling liquid crystal devices and lipid bilayers.
Peridynamics (a non-local continuum theory leading to integral equations)
The techniques of calculation in a continuum theory implicitly assume that:
Most significantly, it was in Bloomington that he began to work with Clifford Truesdell who was criticizing continuum theories.
Within the elastic continuum theory, the orientation is described by a field of unit vectors n(x,y,z,t).