Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes' theorems

DOI10.1088/0305-4470/32/28/310zbMath0944.39006OpenAlexW2073496286WikidataQ125678494 ScholiaQ125678494MaRDI QIDQ4947668

Jenny Harrison

Publication date: 25 April 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/32/28/310

zbMATH Keywords

polyhedral approximationfractalEuclidean metricboundary operatorGauss theoremGreen theoremnonsmooth boundariesgeneralized Stokes' theorem

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Discrete version of topics in analysis (39A12) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

Related Items (13)

The configuration space and principle of virtual power for rough bodies ⋮ Anisotropic fractal media by vector calculus in non-integer dimensional space ⋮ Flow of fractal fluid in pipes: non-integer dimensional space approach ⋮ Towards geometric integration of rough differential forms ⋮ On the divergence and vorticity of vector ambit fields ⋮ Fractal vector measures and vector calculus on planar fractal domains. ⋮ Non-absolutely convergent integrals with respect to distributions ⋮ Laplace-Beltrami operator on digital surfaces ⋮ Roughening it — evolving irregular domains and transport theorems ⋮ Operator calculus of differential chains and differential forms ⋮ Vector calculus in non-integer dimensional space and its applications to fractal media ⋮ The Burgers' equation with stochastic transport: shock formation, local and global existence of smooth solutions ⋮ Local fractional derivatives of differentiable functions are integer-order derivatives or zero

This page was built for publication: Flux across nonsmooth boundaries and fractal Gauss/Green/Stokes' theorems