On the homogenization of partial integro-differential-algebraic equations
Analysis of PDEs
2016-03-08 v5 Functional Analysis
Abstract
We present a Hilbert space perspective to homogenization of standard linear evolutionary boundary value problems in mathematical physics and provide a unified treatment for (non-)periodic homogenization problems in thermodynamics, elasticity, electro-magnetism and coupled systems thereof. The approach permits the consideration of memory problems as well as differential-algebraic equations. We show that the limit equation is well-posed and causal. We rely on techniques from functional analysis and operator theory only.
Cite
@article{arxiv.1204.3768,
title = {On the homogenization of partial integro-differential-algebraic equations},
author = {Marcus Waurick},
journal= {arXiv preprint arXiv:1204.3768},
year = {2016}
}
Comments
Thoroughly revised, changed title, reviewer's comments incorporated, added some references. 41 pages