Cauchy flux and sets of finite perimeter
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Publication:788520
DOI10.1007/BF00281518zbMath0531.73005MaRDI QIDQ788520
Publication date: 1983
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
sets of finite perimeterCauchy fluxdetermination of appropriate class of sets for family of subbodiesNoll's results
Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)
Related Items (21)
The existence of the flux vector and the divergence theorem for general Cauchy fluxes ⋮ Geometric measure theory and the axioms of continuum thermodynamics ⋮ On the theory of divergence-measure fields and its applications ⋮ The prescribed mean curvature equation in weakly regular domains ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Gauss‐Green theorem for weakly differentiable vector fields, sets of finite perimeter, and balance laws ⋮ The configuration space and principle of virtual power for rough bodies ⋮ On locally essentially bounded divergence measure fields and sets of locally finite perimeter ⋮ A new mathematical foundation for contact interactions in continuum physics ⋮ Continuum mechanics, stresses, currents and electrodynamics ⋮ Scientific life and works of Walter Noll ⋮ A version of Stokes's theorem using test curves ⋮ The peridynamic stress tensors and the non‐local to local passage ⋮ Interactions in general continua with microstructure ⋮ Cauchy fluxes and Gauss-Green formulas for divergence-measure fields over general open sets ⋮ Cauchy's stress theorem and tensor fields with divergences in \(L^ p\) ⋮ Divergence-measure fields, sets of finite perimeter, and conservation laws ⋮ Edge-force densities and second-order powers ⋮ Divergence measure fields and Cauchy's stress theorem ⋮ Cauchy's stress theorem for stresses represented by measures ⋮ The Cauchy Stress Theorem for bodies with finite perimeter
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