Cauchy fluxes associated with tensor fields having divergence measure

被引：50

作者：

Degiovanni, M ^{[1
]}

Marzocchi, A ^{[1
]}

Musesti, A ^{[1
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, I-25121 Brescia, Italy

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1999年 / 147卷 / 03期

关键词：

D O I：

10.1007/s002050050149

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：197 / 223

页数：27

共 20 条

[1] [Anonymous], WEAKLY DIFFERENTIABL
[2] ANTMAN SS, 1979, ARCH RATION MECH AN, V69, P231, DOI 10.1007/BF00248135
[3] Banfi C., 1979, ACCAD NAZ LINCEI REN, V66, P136
[4] Brezis H., 1999, Analyse fonctionnelle: Theorie et applications
[5] Federer H., 1969, GEOMETRIC MEASURE TH
[6] Fleming W., 1977, Functions of Several Variables, V2nd ed.
[7] FOSDICK RL, 1989, ARCH RATION MECH AN, V105, P95
[8] Giusti E., 1984, MINIMAL SURFACES FUN
[9] GURTIN ME, 1986, ARCH RATION MECH AN, V92, P1
[10] AN AXIOMATIC FOUNDATION FOR CONTINUUM THERMODYNAMICS
GURTIN, ME
WILLIAMS, WO
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1967, 26 (02) : 83 - &

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