Derivation of integral equations, describing the scattering of elastic waves in anisotropic media

Authors

  • Евгений Михайлович Прохоренко Institute of Electrophysics and Radiation Technologies, NAS of Ukraine street. Gudanov, 13, Kharkov, 61002, Ukraine

DOI:

https://doi.org/10.15587/1729-4061.2012.3895

Keywords:

Integral equations, Grin function, elastic waves

Abstract

Integral equations, describing the scattering of elastic waves on homogeneities of finite size, located in an infinite anisotropic medium are given. It is shown that they are equivalent to differential equations

Author Biography

Евгений Михайлович Прохоренко, Institute of Electrophysics and Radiation Technologies, NAS of Ukraine street. Gudanov, 13, Kharkov, 61002

Candidate of Physical and Mathematical Sciences, Senior Research Fellow

References

  1. Хижняк, Н.А. Интегральные уравнения макроскопической электродинамики. / Н. А. Хижняк. – Київ: Наукова думка, 1986. – 280с.
  2. Чапля, Є. Я. Математичне моделювання дифузійних процесів у випадкових і регулярних структурах. / Є. Я. Чапля, О. Ю. Чернуха. – Київ: Наукова думка, 2009. – 303с.
  3. Тихонов, А. Н. Уравнения математической физики. / А. Н. Тихонов, А. А. Самарский – М.: Наука, 1972. – 735с.

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Published

2012-04-01

How to Cite

Прохоренко, Е. М. (2012). Derivation of integral equations, describing the scattering of elastic waves in anisotropic media. Eastern-European Journal of Enterprise Technologies, 2(10(56), 52–55. https://doi.org/10.15587/1729-4061.2012.3895

Issue

Vol. 2 No. 10(56) (2012): Control systems in the industry

Section

Industry control systems

License

Copyright (c) 2014 Евгений Михайлович Прохоренко

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