Premium
Homogenization in fractional elasticity – One spatial dimension
Author(s) -
Waurick Marcus
Publication year - 2013
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201310253
Subject(s) - homogenization (climate) , elasticity (physics) , mathematics , mathematical analysis , physics , thermodynamics , biodiversity , ecology , biology
In this note we treat the equations of fractional elasticity in one spatial dimension. After establishing well‐posedness, we use an abstract result in the theory of homogenization to derive effective equations in fractional elasticity with highly oscillating coefficients. The approach also permits the consideration of non‐local operators (in time and space). (© 2013 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)