Kinematics of submanifolds and the mean curvature normal
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Publication:1820439
DOI10.1007/BF00251411zbMath0615.53011OpenAlexW2031699212MaRDI QIDQ1820439
Publication date: 1986
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00251411
continuum mechanicssemi-Riemannian manifoldtransport theoremmean curvature normalmotion of a submanifold
Applications of local differential geometry to the sciences (53B50) Differential geometric aspects in kinematics (53A17) Local submanifolds (53B25) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99)
Related Items (12)
On the divergence theorem for submanifolds of Euclidean vector spaces within the theory of second-gradient continua ⋮ Reynolds transport theorem for smooth deformations of currents on manifolds ⋮ Some properties of the inertia tensor in Dixon’s theory ⋮ On the role of sharp chains in the transport theorem ⋮ On generalized compressible fluid systems on an evolving surface with a boundary ⋮ The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners ⋮ On derivation of compressible fluid systems on an evolving surface ⋮ On generalized diffusion and heat systems on an evolving surface with a boundary ⋮ A transport theorem for nonconvecting open sets on an embedded manifold ⋮ Non-classical derivation of the transport theorems for wave fronts ⋮ Phase field modelling of surfactants in multi-phase flow ⋮ Thermoviscoelasticity in Kelvin-Voigt rheology at large strains
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