Kyrylo Andreiev

Citizenship: Ukraine

Institution:  B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine (B. Verkin ILTPE of NAS of Ukraine), 
47 Nauky Ave., Kharkiv, 61103, Ukraine,
Department of Mathematical Physics

E-mail: andreiev@ilt.kharkov.ua

EDUCATION

Master of Applied Mathematics, School of Mechanics and Mathematics (now, School Mathematics and Computer Sciences), V.N. Karazin Kharkiv National University, Kharkiv, Ukraine, 2008–2013.

POSITIONS

Junior Research Fellow (2016 – the present time), Department of Mathematical Physics, Mathematical Division, B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine.

Assistant (2015 – 2018), Institute of Education and Science in Engineering and Physics, National Technical University "Kharkiv Polytechnic Institute", Ukraine.

RESEARCH INTERESTS

Direct and inverse scattering theory. Hamiltonian dynamical systems. Nonlinear evolutionary equations: inverse scattering transform and long time asymptotics.

RESEARCH SCHOLARSHIPS

  •  Scholarship of the Akhiezer Foundation (2018).

PARTICIPATION AT CONFERENCES

  • III International Conference "Differential Equations and Control Theory" (Kharkiv, Ukraine, 2018).
  • International Conferences "Analysis and Mathematical Physics" (Kharkiv, Ukraine, 2014, 2015, 2016, 2017).
  • Trilateral German-Russian-Ukrainian Summer School "Spectral Theory, Differential Equations and Probability" (Mainz, Germany, 2016).
LIST OF PUBLICATIONS
  • K. Andreiev, I. Egorova On the long-time asymptotics for the Korteweg-de Vries equation with steplike initial data associated with rarefaction waves // J. of Mathematical Physics, Analysis, Geometry. – 2017. – Vol. 4. – Pp. 325-343.
  • K. Andreiev, I. Egorova Uniqueness of the solution of the Riemann-Hilbert problem for a rarefaction wave of the Korteweg-de Vries equation // Dopov. Nac. akad. nauk Ukr. – 2017. – Vol. 11. – Pp. 3-9.
  • K. Andreiev, I. Egorova, T.-L. Lange, G. Teschl Rarefaction waves of the Korteweg–de Vries equation via nonlinear steepest descent // J. Differential Equations. – 2016. – Vol. 261. – Pp. 5371-5410.
  • K. Andreiev Integrals of motion of the Korteweg-de Vries equation in a class of steplike solutions // Dopov. Nac. akad. nauk Ukr. – 2016. – Vol. 9. – Pp. 7-13.
  • K. Andreiev, E.Ya. Khruslov Regularized integrals of motion for the Korteweg-de Vries equation in the class of nondecreasing functions // Ukr. Mat. Zh. – 2015. – 67:12. – Pp. 1587-1601.