CURRICULUM VITAE

 

Sergey V. Golovin

 

Personal Info

 

First name                   Sergey

Middle Name             Valerievich

Surname:                    Golovin

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

Lavrentyev prospect 15, Novosibirsk, 630090, Russia

Tel.                  +7 383 3331847

Fax                  +7 383 3331612

E-mail              golovin@hydro.nsc.ru

 

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

 

  1. Golovin S.V., Chesnokov A.A. Group analysis of differential equations. Tutorial. Novosibirsk State University. 2008. 113 pp.

 

Recent Conferences

 

  1. All-Russia Conference “Nonlinear waves: Theory and new applications” devoted to the memory of V.M. Teshukov
  2. Lavrentyev’s Readings – 2010 (Novosibirsk, Russia, August 23–27, 2010)
  3. International Conference on Differential Equations and Dynamical Systems. (Suzdal, Vladimir region, Russia July'2 – July'7, 2010)
  4. Fifth Workshop “Group Analysis of Differential Equations and Integrable Systems” (June 6-10, 2010, Protaras, Cyprus)
  5. All-Russian Conference "New mathematical models of continuum mechanics: Construction and investigations" devoted to 90-years anniversary of academician L. V. Îvsyannikov.
  6. International Conference “Applications of Computer Algebra”. RISC, Castle of Hagenberg, Austria. July 27­–30, 2008
  7. 3rd All-Russian conference with foreign participants "Free boundary problems: theory, experiment and applications". Biisk, Russia, June 28 - July 3, 2008
  8. All-Russian conference “Problems of continuum mechanics and physics of explosion”. Novosibirsk, Russia, September 17–22, 2007
  9. 7th International Conference “Symmetry in Nonlinear Mathematical Physics”. Kiev, Ukraine. June 24–26, 2007
  10. Modern Group Analysis (MOGRAN-11), Karlskrona, Sweden, May 28 – June 1, 2007
  11. Petrovskii Conference. Moscow State University, May 21–26, 2007

 

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