Homogenization in fractional elasticity - one spatial dimension

Marcus Waurick

doi:10.1002/pamm.201310253

Homogenization in fractional elasticity - one spatial dimension

Marcus Waurick

Mathematics And Statistics

Research output: Contribution to journal › Conference Contribution › peer-review

Abstract

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).

Original language	English
Pages (from-to)	521-522
Number of pages	2
Journal	Proceedings in Applied Mathematics and Mechanics, PAMM
Volume	13
Issue number	1
DOIs	https://doi.org/10.1002/pamm.201310253
Publication status	Published - 29 Nov 2013
Event	84th Annual Meeting of the International Association of Applied Mathematics and Mechanics 2013 - Novi Sad, Serbia Duration: 18 Mar 2013 → 22 Mar 2013

Keywords

fractional elasticity
spatial dimension
well-posedness
homogenization
oscillating coefficients

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10.1002/pamm.201310253

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title = "Homogenization in fractional elasticity - one spatial dimension",

abstract = "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).",

keywords = "fractional elasticity, spatial dimension, well-posedness, homogenization, oscillating coefficients",

author = "Marcus Waurick",

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N2 - 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).

AB - 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).

KW - fractional elasticity

KW - spatial dimension

KW - well-posedness

KW - homogenization

KW - oscillating coefficients

UR - http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061

U2 - 10.1002/pamm.201310253

DO - 10.1002/pamm.201310253

M3 - Conference Contribution

SN - 1617-7061

VL - 13

SP - 521

EP - 522

JO - Proceedings in Applied Mathematics and Mechanics, PAMM

JF - Proceedings in Applied Mathematics and Mechanics, PAMM

IS - 1

T2 - 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics 2013

Y2 - 18 March 2013 through 22 March 2013

ER -

Homogenization in fractional elasticity - one spatial dimension

Abstract

Keywords

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