A family of solutions of the two-dimensional eikonal equation
An.G. Marchuk, E.D. Moskalensky
Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
Keywords: распространение волны, фронт волны, уравнение эйканала, точечный источник, wave propagation, wave front, eikanal equation, point source
Abstract
The propagation of a wave from the point source in the case when the velocity in the medium v is expressed as v = 1/√ y is considered. Exact solutions of the corresponding eikonal equation are obtained and numerically verified. The ambiguity of the solution to this question in the case when the point source is situated at the origin is shown.
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