Nonsmooth dynamics and mechanical impact problems
David Stewart (Department of Mathematics, University of Iowa)
MSI Advanced Computation SeminarDATE: 2006-07-24
TIME: 16:00:00 - 17:00:00
LOCATION: G 35 (John Dedman building)
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ABSTRACT:
Mechanical is one of a number of situations where nonsmooth and discontinuous dynamics naturally arises. Other applications include electrical networks with diodes and hard resource limits in economics and ecology. But the mathematical theory to handle many such situations has been lacking, especially for mechanical impact. In this talk we will explore fundamental issues of existence, uniqueness and numerical approximation of solutions to nonsmooth problems which combine differential equations with ideas from constrained optimization.
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