Cauchy fluxes associated with tensor fields having divergence measure

Marco Degiovanni; Alfredo Marzocchi; Alessandro Musesti

doi:10.1007/s002050050149

Cauchy fluxes associated with tensor fields having divergence measure

Marco Degiovanni^*
, Alfredo Marzocchi
, Alessandro Musesti

^*Corresponding author

Research output: Contribution to journal › Article

Abstract

Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.

Original language	English
Pages (from-to)	197-223
Number of pages	27
Journal	Archive for Rational Mechanics and Analysis
Volume	147
Issue number	3
DOIs	https://doi.org/10.1007/s002050050149
Publication status	Published - 1999

All Science Journal Classification (ASJC) codes

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

Keywords

Continuum mechanics
Geometric measure theory

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10.1007/s002050050149

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title = "Cauchy fluxes associated with tensor fields having divergence measure",

abstract = "Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.",

keywords = "Continuum mechanics, Geometric measure theory, Continuum mechanics, Geometric measure theory",

author = "Marco Degiovanni and Alfredo Marzocchi and Alessandro Musesti",

year = "1999",

doi = "10.1007/s002050050149",

language = "English",

volume = "147",

pages = "197--223",

journal = "Archive for Rational Mechanics and Analysis",

issn = "0003-9527",

publisher = "Springer New York",

number = "3",

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TY - JOUR

T1 - Cauchy fluxes associated with tensor fields having divergence measure

AU - Degiovanni, Marco

AU - Marzocchi, Alfredo

AU - Musesti, Alessandro

PY - 1999

Y1 - 1999

N2 - Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.

AB - Cauchy fluxes induced by locally summable tensor fields with divergence measure are characterized. The equivalence between integral formulations involving subsets of finite perimeter and much more restricted classes of subsets is proved.

KW - Continuum mechanics

KW - Geometric measure theory

KW - Continuum mechanics

KW - Geometric measure theory

UR - https://publicatt.unicatt.it/handle/10807/312927

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=0033466882&origin=inward

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U2 - 10.1007/s002050050149

DO - 10.1007/s002050050149

M3 - Article

SN - 0003-9527

VL - 147

SP - 197

EP - 223

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 3

ER -

Cauchy fluxes associated with tensor fields having divergence measure

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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