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Research Output 2012 2019

  • 4 Citations
  • 1 h-Index
  • 30 Article
  • 16 Conference contribution
  • 2 Conference article
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Article
2019
Oil wells
oil well
Phase diagrams
Oils
acoustics
Open Access
rockburst
acoustics
monitoring system
monitoring
inverse problem
2018

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
electromagnetic field
wave field
inverse problem
acoustics
elastic wave
monitoring system
seismicity
monitoring
rock
heterogeneous medium
2016
rock
energy
explosion
information processing
wave energy

ON SOME NUMERICAL INTEGRATION CURVES FOR PDE IN NEIGHBORHOOD OF "BUTTERFLY" CATASTROPHE POINT

Khachay, O. Y. & Nosov, P. A., 2016, In : URAL MATHEMATICAL JOURNAL. 2, 2(3), p. 127-140 14 p.

Research output: Contribution to journalArticleResearchpeer-review

Catastrophe
Numerical integration
Nonlinear ODE
Curve
Matched Asymptotic Expansions
explosion
diagram
rock
energy
trajectory
2014

On the application of the method of matching asymptotic expansions to a singular system of ordinary differential equations with a small parameter

Khachai, O. Y., May 2014, In : Differential Equations. 50, 5, p. 608-622 15 p.

Research output: Contribution to journalArticleResearchpeer-review

Singular Systems
System of Ordinary Differential Equations
Small Parameter
Asymptotic Expansion
Uniform Estimates
2012
2 Citations (Scopus)

Structure of boundary layers in singular problems

Il'In, A. M. & Khachai, O. Y., Jul 2012, In : Doklady Mathematics. 86, 1, p. 497-499 3 p.

Research output: Contribution to journalArticleResearchpeer-review