Reynolds transport theorem for smooth deformations of currents on manifolds

DOI10.1177/1081286514551503zbMath1327.74004arXiv1312.7671OpenAlexW2963204468MaRDI QIDQ3453626

Reuven Segev, Lior Falach

Publication date: 27 November 2015

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.7671

zbMATH Keywords

differentiable manifoldsLie derivativehomotopy formulaReynolds transport theoremde Rham currents

Mathematics Subject Classification ID

Applications of global analysis to the sciences (58Z05) Kinematics of deformation (74A05)

Related Items (6)

The Truesdell rate in continuum mechanics ⋮ On the Geometry and Kinematics of Smoothly Distributed and Singular Defects ⋮ On the role of sharp chains in the transport theorem ⋮ The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners ⋮ A transport theorem for nonconvecting open sets on an embedded manifold ⋮ Unnamed Item

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