Examples of optimal solutions of infinite horizon variational problems arising in continuum mechanics

Abstract

In this article we construct several important examples of optimal solutions of infinite horizon second order variational problems. The problems are related to a model in thermodynamics introduced in Coleman, Marcus and Mizel, Arch. Rational Mech. Anal. 117 (1992), 321–347.

Cite this article

Alexander J. Zaslavski, Examples of optimal solutions of infinite horizon variational problems arising in continuum mechanics. Port. Math. 66 (2009), no. 2, pp. 159–174

DOI 10.4171/PM/1838