Geodesic
On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a medium is a circle
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 363-372 
E. D. Moskalensky. On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a medium is a circle. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 17 (2014) no. 4, pp. 363-372. http://geodesic.mathdoc.fr/item/SJVM_2014_17_4_a4/
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     title = {On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a~medium is a~circle},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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[2] Savelov A. A., Ploskie krivye. Sistematika, svoistva, primeneniya, Librokom, M., 2010

[3] Moskalenskii E. D., “O nakhozhdenii tochnykh reshenii dvumernogo uravneniya eikonala”, Sib. zhurn. vychisl. matematiki (Novosibirsk), 12:2 (2009), 201–209

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