Conservation laws and other formulas for families of rays and wavefronts and for the eikonal equation

DOI10.15372/SJNM20190407OpenAlexW4244666397MaRDI QIDQ5043043

A. G. Megrabov

Publication date: 26 October 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm727

zbMATH Keywords

conservation lawsdifferential geometryeikonal equationgeometric opticsfamily of raysfamily of wavefrontsgeometry of vector fieldskinematic seismic

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• Divergence formulas (conservation laws) in the differential geometry of plane curves and their applications
• 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
• Discrete models in the dynamic problem of linear elasticity and conservation laws
• On some formulas for families of curves and surfaces and Aminov's divergent representations
• Conservation laws in differential geometry of plane curves and for eikonal equation and inverse problems
• Conservation laws for plane steady potential barotropic flow
• Differential identities relating the Laplacian, the modulus of gradient, and the gradient directional angle of a scalar function
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