The Theory of Field Patterns

Wednesday, November 16, 2016 - 11:00am - 12:00pm
Lind 305
Ornella Mattei (The University of Utah)
Field patterns arise in wave equations with a space-time microstructure. They occur when the microstructure has the interesting feature that a disturbance propagating along a characteristic line, and subsequently interacting with the microstructure, does not evolve into a cascade of disturbances, but rather concentrates on a pattern of characteristic lines. This pattern is the field pattern. Here we focus on the appearance of field patterns in one spatial dimension plus time. In such a case, the field patterns occur when the slopes of the characteristics and the space-time microstructure are in a sense commensurate.