Oscillations in a dynamical model of phase transitions-Reference-Cited by-同舟云学术

Oscillations in a dynamical model of phase transitions

Published:2001-02 Issue:1 Volume:131 Page:59-81
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Brandon Deborah,Fonseca Irene,Swart Pieter

Abstract

The creation and propagation of oscillations in a model for the dynamics of fine structure under viscoelastic damping is studied. It is shown that oscillations in the velocity ut are lost immediately as time evolves, while oscillations in the initial strain ux cannot be created, and they persist for all time if initially present. Uniqueness of generalized solutions (Young measures) is obtained, and a characterization of these Young measures is provided in the case of periodic modulated initial data.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Energetic rate-independent systems;Applied Mathematical Sciences;2015

2. From Discrete Visco-Elasticity to Continuum Rate-Independent Plasticity: Rigorous Results;Archive for Rational Mechanics and Analysis;2011-09-16

3. A class of minimum principles for characterizing the trajectories and the relaxation of dissipative systems;ESAIM: Control, Optimisation and Calculus of Variations;2007-12-21

4. Γ-limits and relaxations for rate-independent evolutionary problems;Calculus of Variations and Partial Differential Equations;2007-07-13

5. Young-measure solutions to a generalized Benjamin-Bona-Mahony equation;Mathematical Methods in the Applied Sciences;2005