Divergence formulas (conservation laws) in the differential geometry of plane curves and their applications

DOI10.1134/S1064562411070180zbMath1281.53017WikidataQ115247479 ScholiaQ115247479MaRDI QIDQ416890

A. G. Megrabov

Publication date: 10 May 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

divergence identityFrenet equationsrectangular coordinates

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Hyperbolic conservation laws (35L65) Curves in Euclidean and related spaces (53A04)

Related Items (2)

Conservation laws and other formulas for families of rays and wavefronts and for the eikonal equation ⋮ On some formulas for families of curves and surfaces and Aminov's divergent representations

Cites Work

• Differential identities relating the modulus and direction of a vector field and Euler's hydrodynamic equations
• Some differential identities and and their applications to the eikonal equation
• Unnamed Item

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