VIGRE at the University of Utah

VIGRE vertical integration of research & education
VIGRE Award For High School Students: Math Circle Summer Program for High School Students For Undergrads: REU Internships For Graduate Students: Mini-Courses Qualifying Exam Problem Sessions Graduate Fellowships Committees: Steering Internal Advisory External Advisory Outreach Advisory People Master Calendar VIGRE Home Math Department Home University of Utah Home	Waves in Chains and Lattices (Andrej Cherkaev) We consider waves in nonlinear chains and lattices that mimic phase transition, damage, or instability in materials. The finite-dimensional model allows for finding speed of transition waves and addresses the "House of cards problem": Under what condition will a local damage spread throughout the entire structure? The presentation starts with a description of linear waves in chains and lattices and a comparison of the finite-dimensional and continuum models. Then, we describe waves in some nonlinear and even locally unstable chains and lattices.
VIGRE Steering Committee Department of Mathematics University of Utah 155 South 1400 East; Room 233 Salt Lake City, UT 84112 email: viscom@math.utah.edu