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Numerical Analysis and Applications

2014 year, number 4

On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a medium is a circle

E. D. Moskalensky
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Lavrentieva, 6, Novosibirsk, Russia, 630090
Keywords: wave propagation, front of wave, eikonal equation

Abstract

Wave propagation in a two-dimensional medium is considered in the case when the front of the wave is a circle with the center (a (t),0) and radius r(t). A question is posed: what is the distribution of velocity in the medium? Common characteristics and examples of such media are given.