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Personal profile

Research interests

  • Asymptotic and numerical methods for solving differential equations;
  • The method of matched asymptotic expansions;
  • Bisingular problems for the systems of differential equations containing a small parameter;
  • Application of the catastrophe theory to the study of solutions of differential equations
  • Interpretation of electromagnetic and seismic monitoring data.

Education/Academic qualification

Mathematics and Physics, Candidate

5 May 2014 → …

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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rock Earth & Environmental Sciences
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acoustics Earth & Environmental Sciences
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Monitoring Engineering & Materials Science
Acoustics Engineering & Materials Science
Rocks Engineering & Materials Science
wave field Earth & Environmental Sciences

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Projects 2016 2017

Research Output 2012 2019

  • 4 Citations
  • 1 h-Index
  • 29 Article
  • 15 Conference contribution
  • 2 Conference article
Oil wells
oil well
Phase diagrams
Oils
acoustics

Algorithm of modeling of acoustic monitoring of composite hierarchical inclusions

Hachay, O., Khachay, A. & Hachay, O., 1 Jan 2018, 17th International Conference on Geoinformatics - Theoretical and Applied Aspects. European Association of Geoscientists and Engineers

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Acoustics
Monitoring
Composite materials
Rocks
Integrodifferential equations

Asymptotics of a Solution of a Three-Dimensional Nonlinear Wave Equation near a Butterfly Catastrophe Point

Khachai, O. Y., 1 Jul 2018, In : Proceedings of the Steklov Institute of Mathematics. 301, p. 72-87 16 p.

Research output: Contribution to journalArticleResearchpeer-review

Catastrophe
Nonlinear Wave Equation
Asymptotic Expansion
Three-dimensional
Ordinary differential equation

Catastrophe theory - One of the basic components in the analysis of the seismic response of rock mass to explosions

Khachay, O. A. & Khachay, O., 28 Mar 2018, In : IOP Conference Series: Earth and Environmental Science. 134, 1, 012026.

Research output: Contribution to journalConference articleResearchpeer-review

catastrophe theory
seismic response
explosion
rock
accident prevention

Modeling algorithm of acoustic waves penetrating through a medium with composite hierarchical inclusions

Hachay, O. A., Khachay, Y. A. & Khachay, Y. O., 19 Dec 2018, Mechanics, Resource and Diagnostics of Materials and Structures, MRDMS 2018: Proceedings of the 12th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. Ramasubbu, S., Gorkunov, E. S. & Panin, V. E. (eds.). American Institute of Physics Inc., Vol. 2053. 030023

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

inclusions
composite materials
acoustics
plastics
elastic media