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, 20082013.
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 Kortewegde 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.
|