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

DOI10.4171/PM/1838zbMath1160.49035OpenAlexW2055579381MaRDI QIDQ1018208

Zaslavski, Alexander J.

Publication date: 19 May 2009

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=0032-5155&vol=66&iss=2&rank=3

zbMATH Keywords

infinite horizon problemsperiodic minimizers\(c\)-optimal minimizers

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Periodic optimal control problems (49N20)

Cites Work

• Necking and drawing in polymeric fibers under tension
• Infinite horizon autonomous systems with unbounded cost
• On the cold drawing of polymers
• One-dimensional infinite-horizon variational problems arising in continuum mechanics
• On the thermodynamics of periodic phases
• The structure of extremals of a class of second order variational problems
• Uniform estimates for a variational problem with small parameters
• Universal properties of stable states of a free energy model with small parameters
• On a class of second order variational problems with constraints
• The structure and limiting behavior of locally optimal minimizers.
• The existence of periodic minimal energy configurations for one-dimensional infinite horizon variational problems arising in continuum mechanics
• Lower Semicontinuity of Integral Functionals

This page was built for publication: Examples of optimal solutions of infinite horizon variational problems arising in continuum mechanics