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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2014, Volume 17, Number 4, Pages 363–372 (Mi sjvm556)  
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
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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.
Received: 21.10.2013
Revised: 26.02.2014
English version:
Numerical Analysis and Applications, 2014, Volume 7, Issue 4, Pages 304–313
DOI: https://doi.org/10.1134/S1995423914040053
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: 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”, Sib. Zh. Vychisl. Mat., 17:4 (2014), 363–372; Num. Anal. Appl., 7:4 (2014), 304–313
Citation in format AMSBIB
\Bibitem{Mos14}
\by E.~D.~Moskalensky
\paper On finding exact solutions of the two-dimensional eikonal equation when the front of the wave propagating in a~medium is a~circle
\jour Sib. Zh. Vychisl. Mat.
\yr 2014
\vol 17
\issue 4
\pages 363--372
\mathnet{http://mi.mathnet.ru/sjvm556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3409494}
\transl
\jour Num. Anal. Appl.
\yr 2014
\vol 7
\issue 4
\pages 304--313
\crossref{https://doi.org/10.1134/S1995423914040053}
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