On selection criteria for problems with moving inhomogeneities
Mathematical Physics
2012-05-22 v2 math.MP
Abstract
We study mechanical problems with multiple solutions and introduce a thermodynamic framework to formulate two different selection criteria in terms of macroscopic energy productions and fluxes. Studying simple examples for lattice motion we then compare the implications for both resting and moving inhomogeneities.
Cite
@article{arxiv.1011.4596,
title = {On selection criteria for problems with moving inhomogeneities},
author = {Michael Herrmann and Hartmut Schwetlick and Johannes Zimmer},
journal= {arXiv preprint arXiv:1011.4596},
year = {2012}
}
Comments
revised version contains new introduction, numerical simulations of Riemann problems, and a more detailed discussion of the causality principle; 18 pages, several figures