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, 6 Lavrentjev pr., Novosibirsk, 630090, Russia

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.

Key words: wave propagation, front of wave, eikonal equation.

UDC: 517.958

Received: 21.10.2013
Revised: 26.02.2014

 English version: Numerical Analysis and Applications, 2014, 7:4, 304–313

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