The University of Arizona

The Null Condition and Global Existence of Nonlinear Elastic Waves

The Null Condition and Global Existence of Nonlinear Elastic Waves

Series: Mathematics Colloquium
Location: Math 501
Presenter: Tom Sideris, Department of Mathematics, UCSB

Within the framework of nonlinear hyperelasticity, it is shown that a special class of materials have stored energy functions which give rise to nonlinearities which satisfy a null condition. Under this assumption, the initial value problem for the displacement from equilibrium will be studied. It will be shown that the resulting nonlinear hyperbolic system has global small amplitude classical solutions. The proof combines generalized energy methods with a new decay estimate for the linear problem.

Refreshments will be served at 3:30 PM in Math 401N.

Department of Mathematics, The University of Arizona 617 N. Santa Rita Ave. P.O. Box 210089 Tucson, AZ 85721-0089 USA Voice: (520) 621-6892 Fax: (520) 621-8322 Contact Us © Copyright 2018 Arizona Board of Regents All rights reserved