## Sergey Kadchenko

- Published: Wednesday, 15 July 2015 05:03

**EDUCATION**

- 1967 -1971 Rostov-on- Don State Pedagogical Institute, Major: Physics
- 1985 Awarded an academic degree of the Candidate of Physics and Mathematics (PhD)
- 2004 Awarded an academic degree of the Doctor of Physics and Mathematics
- 2006 Awarded an academic rank of the Professor

**RESEARCH EXPERIENCE**

Mathematical simulation of complicated technological processes:

- runaway of a unipolar energy storage unit with magnetohydrodynamic sliding supports,
- cast iron crystallization in moulds when forming double layer rolls for rolling mills,
- the non-isothermal stress-strain state of a surface plastic layer,
- a non-isothermal process of spreading viscous fluid drops on solid cylindrical surfaces,
- the stress-strain state of bars in their drawing.

Theoretical research to develop two new numerical methods of calculating eigenvalues and eigenfunctions of perturbed self-adjoint operators.

**RESEARCH INTERESTS**

- Spectral theory of operators
- Inverse spectral problems
- Industrial mathematics

**TEACHING AND EDUCATIONAL ACTIVITIES**

**Course Titles:**

- Modern numerical methods of mathematical physics
- Mathematical simulation
- Equations of mathematical physics
- Theory of integral equations

**PhD students:**

- Five PhD students defended their theses for an academic degree of the Candidate of Physics and Mathematics (PhD)

**PUBLICATIONS**

- Application of the protective coating by a frictional-mechanical method for increasing the durability of machines and materials. Journal for Technology of Plasticity, Vol. 21, 1996, no. 1-2.
- Calculation of the first eigenvalues of the boundary-value problem of hydrodynamic stability of a flow between two parallel planes at low Reynolds numbers. Proceedings of the Academy of Sciences, 1997, Vol. 355, no. 5, p. 600.
- Calculation of the first eigenvalues of a discrete operator. Electromagnetic waves and electronic systems, 1998, Vol. 3, no. 2, pp. 6 – 8.
- Calculation of the first eigenvalues of a boundary-value problem of the hydrodynamic stability of the Poiseuille flow in a round tube. Differential Equations, 1998, Vol. 34, no. 1, pp. 50 – 53.
- A regularized trace theory and calculation of the first eigenvalues of the Orr-Zomerfield boundary value problem. International conference on the operator theory and applications to scientific and industrial problems, the Institute of Industrial Mathematical Sciences, the University of Manitoba, Canada, 1998.
- Calculation of eigenvalues of a problem of the hydrodynamic stability of a viscous liquid flow between two rotating cylinders atlowReynolds numbers. Proceedings of the Academy of Sciences, 1998, Vol. 363, no. 6, pp. 748-750.
- Calculation of the first eigenvalues of the hydrodynamic stability problem for a viscous fluid flow between two rotating cylinders. Differential Equations, 2000, Vol. 36, no. 6, pp. 742-746.
- A new method to calculate eigenvalues of the Orr-Sommerfeld spectral problem. Electromagnetic waves and electronic systems, 2000, Vol. 5, no. 6, pp. 4– 10.
- A new method of approximate calculation of the first eigenvalues of the Orr-Sommerfeld spectral problem. Proceedings of the Russian Academy of Sciences, 2001, Vol. 378, no. 4, pp. 443-446.
- A new approximate calculation method for the first eigenvalues of a spectral problem of the hydrodynamic stability of the Poiseuille flow in a round tube. Proceedings of the Russian Academy of Sciences, 2001, Vol. 380, no. 2, pp.160-163.
- A new method to calculate the first eigenvalues of a spectral problem of the hydrodynamic theory of stability for a viscous fluid flow between two rotating cylinders. Proceedings of the Russian Academy of Sciences, 2001, Vol. 381, no. 3, pp. 320-324.
- Stability of the Kutta plane-parallel flow. Electromagnetic waves and electronic systems, 2005, Vol. 10, no. 1-2, pp. 10– 21.
- Computing sums of the Rayleigh-Schrödinger series of perturbed self-adjoint operators. Computational Mathematics and Mathematical Physics, 2007, Vol. 47, no. 9, pp. 1494-1505.
- The method of finding eigenvalues of the discrete semi-bounded from below operator. Bulletin of SUSU, series of Mathematical Modelling and Programming, 2011, no. 17 (234), Vol. 8, pp. 46 – 51.
- Non-isothermal spreading of viscous fluid drops along a horizontal tube. Chelyabinsk State University Bulletin, 2012, no. 31, pp. 16-19.
- Mathematical simulation of the heating process of a viscous liquid drop spreading over a horizontally oriented cylindrical pipe. Heat power engineering, 2013, no. 9, pp. 36-39.
- A numerical computation of inverse problems, generated by perturbed self-adjoint operators, with a regularized trace method. Vestnik of Samara State University. Naturalistic series, 2013, no. 6 (107), pp. 23 - 30.
- A numerical computation of inverse problems, generated by perturbed self-adjoint operators. Bulletin of the South Ural State University. Series: Mathematical Modelling and Programming, 2013, Vol. 6, no. 4, pp. 15 – 25.

**Additional Information**

Scopus Author ID: 6603287106

https://www.scopus.com/authid/detail.url?authorId=6603287106