Соболевский Андрей Николаевич

Education and Degrees

2014

Doctor of Sciences* in Mathematical Physics
Lomonosov Moscow State University
Thesis Title: Dynamics and singularities in models of inertial mass transfer

2011

Candidate of Sciences* (PhD) in Theoretical Physics
Lomonosov Moscow State University
Thesis Title: Generalized variational principles and method of vanishing viscosity for some quasilinear equations and systems

1996

Degree
Lomonosov Moscow State University

* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.

* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.

Awards and Accomplishments

Professor of Russian Academy of Sciences (2015)

Chevalier dans l'Ordre des Palmes académiques de la République française (2017)

Medal of the Russian Ministry of Research anf Higher Education "For contribution to implementation of the national science and technology policy" (2021)
Best Teacher — 2019, 2016

Courses (2024/2025)

Probability Theory (Bachelor’s programme; Faculty of Physics field of study Physics; 2 year, 1, 2 module)Rus
Past Courses

Timetable for today

Full timetable

Editorial board membership

2021: Deputy Editor-in-chief , Автоматика и телемеханика (Automation and Remote Control).

2023–2023: Editor-in-chief , Проблемы передачи информации (Problems of Information Transmission).

2017–2021: Member of the Editorial Board , Автоматика и телемеханика (Automation and Remote Control).

Employment history

Since 1999 to 2009: junior research associate, assistant professor, associate professor at the physics department of Moscow State University.

Since 2009 to 2023: senior research associate, deputy director for research, director (since 2016) at A. A. Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences.

Since 2011: associate professor, then professor (since 2016) at Chair of Complex Systems Modelling; in 2014-2016 deputy dean of Faculty of Computer Science.

Since 2023: professor at Faculty of Physics.

Lagrangian trajectories of particles in flows describe by the Hamilton-Jacobi equation

Equations of motion of a structureless fluid, such as liquid, gas, or dust-like matter in cosmology, provide basis for a wide spectrum of mathematical physics models. Two extremes of this spectrum are the ideal, i.e., incompressible and inviscid fluid, which is described by the Euler equation, and infinitely compressible, i.e., collisionless dust-like matter. According to the famous theorem of Y. Brenier, an arbitrary displacement field of fluid elements in Euclidean space can be decomposed into two mappings, one of which is volume-preserving and the other represents inertial transport of mass elements along a suitable curl-free vector field. Both limiting types of dynamics, the incompressible as well as the interial, enjoy a rich goemetric structure that is important for their application to models of mathematical physics.

In this talk, we contruct a physically natural kind of dynamics of fluid elements in a flow described by the Hamilton-Jacobi or Bernouilli equation inside singularities (discontinuities of the velocity field) appearing because of the nonlinearity. The talk is based on results of K. Khanin, A. Sobolevski, On Dynamics of Lagrangian Trajectories for Hamilton–Jacobi Equations, Arch. Rational Mech. Anal. 219 (2016), 861-885, and includes discussion of their possible development.

Video of the talk at the Landau Institute website, January 26, 2024

Remarks on 1D sticky particles dynamics and the Olshanetski-Perelomov construction

Opening talk at M. Olshanetski's 80th anniversary conference.

Video at MathNet.ru, Steklov Mathematics Institute, December 11, 2018

18

Apr

2019

Ilya Segalovich Scholarships Awarded on the Fifth Anniversary of HSE’s Faculty of Computer Science

As part of the HSE Faculty of Computer Science fifth anniversary celebration at Mercury Moscow City Tower, Ilya Segalovich Scholarships were awarded.

11

Dec

2017

Lidia Prokofieva and Alexei Starobinsky Honored with French Academic Palm Award

Lead analyst at the HSE’s Institute of Social Policy Lidia Prokofieva and HSE Professor at the Faculty of Physics Alexei Starobinsky have been honored by the French government for their contribution to science and education.

23

Dec

2016

‘Our Programme Aims to Make a Research Breakthrough at the Intersection of Mathematics and Computer Science’

In 2017, the HSE Faculty of Computer Science and Skoltech are opening admissions to the Master’s programme inStatistical Learning Theory, which will become the successor to theMathematical Methods of Optimization and Stochastics programme.Vladimir Spokoiny, the programme’s academic supervisor and professor of mathematics at Humboldt University in Berlin, told us about the research part of the new programme and the opportunities it offers to both Master’s students and undergraduate students alike.

Andrei Sobolevski