Conservation laws in differential geometry of plane curves and for eikonal equation and inverse problems

We derive the new conservation laws for a set of arbitrary smooth plane curves. In these laws a solenoidal field is expressed in terms of the Frenet unit vectors or in terms of the curvature vectors. When curves are vector lines of an arbitrary smooth vector field, these laws have identical form in...

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Veröffentlicht in:	Journal of inverse and ill-posed problems 2013-10, Vol.21 (5), p.601-628
1. Verfasser:	Megrabov, Alexander G.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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