CURRICULUM VITAE
Sergey V. Golovin
Personal Info
Middle Name Valerievich
Data
of birth March 25, 1974
Place
of birth Chkalovsk, USSR
Citizenship
Russia
Current
place Novosibirsk, Akademgorodok
Marital
status Married, 2 children
Languages: Russian (native), English (fluent),
German (intermediate).
Work Address Lavrentyev Institute of Hydrodynamics of the
Siberian Division of Russian Academy
of Sciences
Tel. +7 383 3331847
Education
6/2010 D.Sc
in Differential Equations
6/97 – 9/2000 Ph.D. in Mechanics of liquid, gas
and plasma.
Thesis Advisor: Lev Ovsiannikov
9/95 – 6/97 M.Sc. in Mechanics and Applied Mathematics,
Novosibirsk State University, Novosibirsk, Russia
9/91 – 6/95 B.Sc.
in Mechanics and Applied Mathematics,
Novosibirsk State University,
Novosibirsk, Russia
Professional Experience
11/2010 – present Vice-director of Lavrentyev
Institute of Hydrodynamics of the Siberian Division of Russian Academy of
Sciences
02/2004 – 11/2010 Senior Researcher, Laboratory of
differential equations,
Lavrentyev
Institute of Hydrodynamics of the Siberian Division of Russian Academy of
Sciences
09/2007 – present Associate
professor (dozent) of the Chair of Theoretical
Mechanics of the Novosibirsk State
University
09/2005 – 08/2006 Postdoctoral fellowship,
Queen’s University, Kingston, Canada
04/2000 – 10/2003 Researcher, Laboratory of differential
equations,
Lavrentyev Institute of
Hydrodynamics of the Siberian Division of Russian Academy of Sciences
06/1997 – 04/2000 Engineer-programmer, Laboratory of
differential equations,
Lavrentyev Institute of
Hydrodynamics of the Siberian Division of Russian Academy of Sciences
09/1997 – 05/2007 Assistant, then senior teacher
of the Chair of General Mathematics and Theoretical Mechanics of the Novosibirsk
State University
Main Fields of Interest
Fluid mechanics, Navier-Stokes equations, Euler equations, magnetohydrodynamics, Lie groups analysis, Lie algebras, symmetries of differential equations, symmetry reductions, exact solutions of nonlinear differential equations, differential invariants.
Teaching
List of Publications
a. Refereed journal publications
1. Golovin S.V., Krutikov M.K. Complete
classification of stationary flows with constant total pressure of ideal
incompressible infinitely conducting fluid. J. Phys. A: Math. Theor. 45 (2012) 235501 (24pp) doi:10.1088/1751-8113/45/23/235501
2. Golovin S.V. Natural curvilinear coordinates for ideal
MHD equations. Nonstationary flows with constant
total pressure. Phys. Lett. A. 375 283–290
(2011). doi: 10.1016/j.physleta.2010.11.022
3. Golovin S.V. Analytical description of stationary ideal
MHD flows with constant total pressure. Phys. Lett.
A. 374 901–905 (2010) doi:10.1016/j.physleta.2009.12.015
4. Golovin S.V. Regular partially invariant solutions of
defect 1 of the equations of ideal magnetohydrodynamics.
J. Appl. Mech. Tech. Phys. 50(2) 171–180 (2009)
5. Golovin S.V. On the hierarchy of partially invariant submodels of differential equations // J. Phys. A:
Math. Theor. 41 265501 (2008) DOI:
10.1088/1751-8113/41/26/265501
6. Golovin S.V. Ovsyannikov plane vortex: The equations of the submodel // J. Appl. Mech. Tech. Phys. 49(5) 725–736
(2008)
7. Golovin S.V. Plane Ovsyannikov vortex: Motion properties and exact solutions // J. Appl. Mech. Tech.
Phys. 49(6) 934–945 (2008)
8. Golovin S.V. Irrotational vector fields, partially invariant with
respect to group of rotations // J. Appl. Math.
Mech. 72(5). (2008) doi:10.1016/j.jappmathmech.2008.11.010
9. Golovin S.V. Generalization
of the one-dimensional ideal plasma flow with spherical waves. // J. Phys.
A: Math. Gen. 39 7579–7595 (2006) DOI:
10.1088/0305-4470/39/23/027
10. Golovin S.V. Invariant
solutions of the singular vortex in magnetohydrodynamics
// J. Phys. A: Math. Gen. 38 8169-8184 (2005)
11. Golovin S.V.
Singular vortex in magnetohydrodynamics // J.
Phys. A: Math. Gen. 38 4501-4516 (2005) DOI:
10.1088/0305-4470/38/20/015
12. Golovin S.V. Irrotational Barochronous Gas
Motions // Nonlinear Dynamics. 36. No. 1, 19–28 (2004).
13. Golovin S.V. Nonstationary gas motion in a stripe // J.
Appl. Mech. Tech. Phys. 45, No.2, 90-98 (2004).
14. Golovin S.V. Applications
of the differential invariants of infinite dimensional groups in hydrodynamics
// Commun. Nonlinear Sci. Numer.
Simul. V. 9, No. 1, 35–51 (2004).
15. Golovin S.V.
Group stratification and exact solutions of transonic gas motions equation //
J. Appl. Mech. Tech. Phys. 44, No.3, 344-354 (2003).
16. Golovin S.V.
Exact solutions for evolutionary submodels of gas
dynamics // J. Appl. Mech. Tech. Phys. 43, No.4, 493-502 (2002).
17. Golovin S.V. The
two-dimensional motions of a gas with a special adiabatic exponent // J.
Appl. Math. Mech. 64, No. 4, 569–579 (2000). doi:10.1016/S0021-8928(01)80001-0
18. Golovin S.V. On
one exact invariant solution of gas dynamics equations // J. Appl. Mech.
Tech. Phys. 38, No. 1 (1997).
b. Preprints.
1. Golovin S.V.
Optimal system of subalgebras for Lie algebra of
operators, admitted by the gas dynamics equations in the case of polytropic gas // Preprint. Lavrentyev
Institute of Hydrodynamics SD RAS. No 5. (1996).
2. Golovin S.V.
Multidimensional fluid motions with planar waves // arXiv:
0705.2311 [physics.flu-dyn]
3. Golovin S.V. On the
hierarchy of partially invariant submodels // arXiv:
0711.2338 [math-ph]
4. Golovin S.V. Exact
solution describing a shallow water flow in an extending stripe // arXiv:
0802.4134 [physics.flu-dyn]
5. Golovin S.V. Analytical
description of stationary ideal MHD flows with constant total pressure// arXiv: 0906.3794
[math-ph]
6. Golovin S.V.
Natural curvilinear coordinates for ideal magnetohydrodynamics
equations. Solutions with constant total pressure// arXiv:1008.1124v1
[math-ph]
c. Papers published in Conference Proceedings.
1. Golovin S.V. Partially
invariant solutions to ideal magnetohydrodynamics //
IMA volumes in mathematics and its applications. V. 144. Symmetries and overdetermined systems of differential equations. Springer.
New-York, 2007. Pp. 367-382.
2. Golovin S.V. Group
Foliation of Euler Equations in Nonstationary
Rotationally Symmetrical Case // Symmetry in Nonlinear Mathematical Physics
/ Proceedings of Institute of Mathematics of NAS of Ukraine. V. 50. Part 1.
Kyiv: Institute of Mathematics of NAS of Ukraine, 2004, pp. 110–117.
3. Golovin S.V. On
The Group-Invariant Solutions Of The Gas Dynamics Equations EQUADIFF 2003,
Proceedings of the International Conference on Differential Equations, Hasselt,
Belgium 22 - 26 July 2003.
4. Golovin S.V.
Basis of Differential Invariants For Certain Lie Groups and Its Applications
// Proc. of Int.
Conf. “Nonlinear Acoustics at the Beginning of 21st Century”. Facility of
Physics, MSU, Moskow, 2002. V. 1, pp. 539–542.
5. Golovin S.V.
Two-dimensional gas motions with a special symmetry properties //
Proceedings of International Conference Modern Group Analysis VIII. Ufa,
Russia, 27.09.2000–03.10.2000. Ufa State Aviation Technical University.
6. Golovin S. V. On
reduction of some class of regular partially invariant of gas dynamics
equations for polytropic gas // Proceedings of
International Conference Modern Group Analysis VII. Nordfjordeid,
Norway. 30.06–5.07 1997. MARS Publishers. SYMMETRI Foundation
d. Other publications
Recent Conferences
Recent Grants
2011 President
grant for young DSc
2007 Prize devoted to 50-years
anniversary of Siberian Branch of Russian Academy of Sciences
2007 President
grant for young PhDs
2005 Grant for outstanding young scientists
from Russian Science Support Foundation
2005 Grant No 8298 for the young scientists’
projects from the Russian Ministry of Science and Education
2004
First prize on the competition of
the young scientists’ projects from the Novosibirsk regional administration.
2004 Grant for outstanding young scientists
from Russian Science Support Foundation