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Victor Miroshnikov
Victor Miroshnikov Assistant Professor of Mathematics
B.S., M.S., Ph.D. Moscow Institute of
Physics and Technology 
Contact Information
(718) 405-3404
victor.miroshnikov@mountsaintvincent.edu
Founders Hall 430
     Areas of Expertise
  • COMP MATH Education
  • Differential Equations
  • Fluid Dynamics

Courses | Research Interests | Publications
Publications of Advised Students  | Professional Affiliations | Awards 

Courses
  • COMP 114   Computers and Their Uses
  • COMP 115  Intermediate Computer Applications
  • COMP 101  Computer Science I
  • COMP 102  Computer Science II
  • PHYS 107   Introduction to Physics I
  • PHYS 108   Introduction to Physics II
  • PHYS 360   Symbolic Methods
  • PHYS 370   Special Functions
  • MATH 100  Pre-Calculus
  • MATH 105  Linear Mathematical Analysis
  • MATH 106  Calculus for Business Decisions
  • MATH 107  Computational Mathematics with Spreadsheets
  • MATH 120   Computational Mathematics
  • MATH 121  Elementary Statistics
  • MATH 131  Calculus I
  • MATH 132  Calculus II
  • MATH 231  Calculus III
  • MATH 261  Symbolic Computing
  • MATH 262  Numeric Computing
  • MATH 255  Differential Equations
  • MATH 431  Vector Calculus 
  • MATH 455   Linear Partial Differential Equations
  • MATH 469  Independent Study: Elliptic Structures
Research Interests
Integration of COMP MATH education
Invariant structures
General solutions of fluid dynamics

Publications
65. Victor A. Miroshnikov, Dual Perturbations of the Poiseuille Flow on Invariant Elliptic Structures, Advances and Applications of Fluid Mechanics, 11, #1, 1-58, 2012.
 http://www.pphmj.com/abstract/6711.htm 

64. Victor A. Miroshnikov (session organizer), V.A. Miroshnikov (session organizer), Existence of invariant elliptic structures and their application to conservative dynamical systems, Abstracts of the XIX Annual HRUMC, Western New England University, April 21, 2012, Springfield, Massachusetts. https://apps.skidmore.edu/pls/apex/f?p=115:8:8621199805276169::NO:::    (Click Session I)

63. Victor A. Miroshnikov, Spatiotemporal cascades of the Poiseuille-Hagen flow in invariant elliptic structures, Bulletin of APS, 56, #18, 268, 2011.

62. Victor A. Miroshnikov et al, Teaching fluid-dynamic cascades for undergraduates: analysis and simulation, Far East Journal of Mathematical Education, 5, #1, 53-85, 2010. http://pphmj.com/abstract/5055.htm

61. Victor A. Miroshnikov, Transversal waves of dual perturbations of the Poiseuille flow, Proceedings of SIAM Conference on Nonlinear Waves and Coherent Structures, 47, 2010. 

60. Victor A. Miroshnikov (session organizer), Hidden perturbations of the Couette flow, Abstracts of the XVII Annual HRUMC, p. 17. Keene State College, April 17, 2010, Keene, New Hampshire. 

59. Victor A. Miroshnikov, Spatiotemporal cascades of exposed and hidden perturbations of the Couette flow, Advances and Applications of Fluid Mechanics, 6, #2, 141-165, 2009.
http://pphmj.com/abstract/4402.htm

58. Victor A. Miroshnikov (minisymposium organizer), Minisymposium on General Solutions of the Couette Flow: General solutions for singular fluctuations, resonant disturbances, and hidden perturbations of the Couette flow, Proceedings of SIAM Annual Meeting, AN09, 74, 2009. 

57. Victor A. Miroshnikov (session organizer), The general series solution of the one-dimensional fluid dynamics with a plane of symmetry, Abstracts of the XVI Annual HRUMC, p. 39. Union College, April 18, 2009, Schenectady, New York. 

56. Victor A. Miroshnikov (minisymposium organizer), Minisymposium on General Solutions of the Fluid Dynamics: General solutions of the Navier-Stokes Equations and the vorticity transport equations in the Lamb variables, Proceedings of SIAM Annual Meeting, AN08, 41, 2008.

55. Victor A. Miroshnikov (minisymposium organizer), Minisymposium on General Solutions of Fluid Dynamics: General solutions of fluid dynamics, Abstracts of the 6th International Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007.

54. Victor A. Miroshnikov, General solutions of the unsteady Navier-Stokes equations in one, two, and three dimensions, Bulletin of APS, 51, #9, 146, 2006.

53. Victor A. Miroshnikov (minisymposium organizer), Minisymposium on General Solutions of Fluid Dynamics: General solutions of the Navier-Stokes equations in the class of the Boussinesq-Rayleigh series, Proceedings of SIAM Annual Meeting, AN06, 187, 2006.

52. Victor A. Miroshnikov, The Boussinesq-Rayleigh series for two-dimensional flows away from boundaries, Applied Mathematics Research eXpress, 5, 184-227, 2005. http://amrx.oxfordjournals.org/content/2005/5/183.abstract?sid=da043b62-81c1-4301-8722-e91e995c70c6

51. Victor A. Miroshnikov, Multiscale three-dimensional vortex pairs of the Poiseuille flow, Bulletin of APS, 50, #9, 253, 2005.

50. Victor A. Miroshnikov, Furcations of streamlines of the Poiseuille flow, Proceedings of SIAM Annual Meeting, AN05, 212, 2005.

49. Victor A. Miroshnikov, Coherent structures of general solutions of the Navier-Stokes equations, Proceedings of SIAM Conference on Nonlinear Waves and Coherent Structures, 73, 2004.

48. Victor A. Miroshnikov, Computing general solutions of the Navier-Stokes equations, Proceedings of SIAM Annual Meeting, AN04, 233, 2004.

47. Victor A. Miroshnikov, General forced solution of the Navier-Stokes Equations, Bulletin of APS, 48, #10, 140, 2003.

46. Victor A. Miroshnikov, General unsteady solution for nonlinear interaction of coherent structures, Proceedings of SIAM Annual Meeting, AN02, 138, 2002.

45. Victor A. Miroshnikov, The Boussinesq-Rayleigh approximation for the rotational solitary wave on shallow water with uniform vorticity, Journal of Fluid Mechanics, 456, 1-32, 2002.
 http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=456&seriesId=0&issueId=-1

44. Victor A. Miroshnikov, Topographic waves with multi-eddy bifurcations formed by a stratified mixing layer, Proceedings of the 6th SIAM Conference on Mathematical and Computational Issues in the Geosciences, 54, 2001.

43. Victor A. Miroshnikov, Internal solitary waves with multiple eddy bifurcations in stratified flow, Bulletin of APS, 45, #9, 111, 2000.

42. V. Miroshnikov, Flow separation in finite-amplitude solitary waves on shallow water with constant vorticity, Bulletin of the APS, 44, #8, 90, 1999.

41. V. Miroshnikov, Chapter 20: Coupled viscous solitary waves in quasi-two-dimensional magnetohydrodynamical and geophysical flows, Progress in Fluid Flow Research: Turbulence and Applied MHD, 182, 281-297, AIAA, Recton, 1998.
http://books.google.com/books/about/Progress_in_fluid_flow_research.html?id=HjdGAAAAYAAJ (please type "Miroshnikov" in the "from inside the book" search box to find the chapter)

40. V. Miroshnikov and A. Shishko, Chapter 28: Non-slip electrolyte flow past a moving electromagnetic cylinder, Progress in Fluid Flow Research: Turbulence and Applied MHD, 182, 455-468, AIAA, Recton, 1998.
http://books.google.com/books/about/Progress_in_fluid_flow_research.html?id=HjdGAAAAYAAJ 
(please type "Miroshnikov" in the "from inside the book" search box to find the chapter)

39. V. Miroshnikov and Y. Gelfgat, Classification of instabilities of metal bodies and liquid metal drops levitated electromagnetically, Proceedings of the International Congress on Electromagnetic Processing of Materials, 2, 425-430, Paris, 1997.

38. V. A. Miroshnikov, The finite-amplitude solitary wave on a stream with linear vorticity, European Journal of Mechanics B/Fluids, 15, #3, 395-411, 1996.

37. V. Miroshnikov, Coupled solitary waves in viscous MHD and geophysical flows, Comptes Rendus Acad. Sci. Paris, 323, II b, 23-30, 1996.

36. V. Miroshnikov, Coupled viscous solitary waves in quasi two-dimensional magnetohydrodynamic and geophysical flows, Abstracts of the 7th Beer-Sheeva International Seminar on MHD Flows and Turbulence, 93, Jerusalem, 1996.

35. V. Miroshnikov and A. Shishko, Non-slip electrolyte flow past a moving electromagnetic cylinder, Abstracts of the 7th Beer-Sheeva International Seminar on MHD Flows and Turbulence, 92, Jerusalem, 1996.

34. V. Miroshnikov, MHD controlled formation of a single eddy on the solitary wave crest. Abstracts of European Science Foundation /Free Boundary Problems Workshop: Free surface and electromagnetism, Riga, 1995.

33. V. A. Miroshnikov, The solitary wave on a Poiseuille stream in crossed electric and magnetic fields. Abstracts of MAHYD 95, 33, Jurmala, 1995.

32. V. A. Miroshnikov, Nonlinear interaction of a parabolic sheared current with a free surface, Abstracts of International Conference on Boundary Effects in Stratified and/or Rotating Fluids, 113-115, St. Petersburg, 1995. 

31. B. Izrar, F. Lusseyran, and V. Miroshnikov, Two-level solitary waves as generalized solutions of the KdV equation, Physics of Fluids, 7, 1056-1062, 1995. Click here to view the publication

30. A. Miroshnikov, Solitary wave on the surface of a shear stream in crossed electric and magnetic fields: the formation of a single vortex, Magnetohydrodynamics, 31, #1-2, 149-165, 1995.

29. Yu. B. Kolesnikov and V. A. Miroshnikov, Magnetohydrodynamic method of generating solitary waves, Magnetohydrodynamics, 28, #1, 57-64, 1992. 

28. V. A. Miroshnikov, Propagation theory of nonlinear solitary waves of the generalized KdV equation, Abstracts of International Conference on Waves and Vortices in the Ocean and Their Laboratory Analogues, Vladivostok, 1991.

27. Yu. B. Kolesnikov and V. A. Miroshnikov, Magnetohydrodynamic method of bore generation, Abstracts of International Conference on Waves and Vortices in the Ocean and Their Laboratory Analogues, Vladivostok, 1991.

26. Yu. B. Kolesnikov and V. A. Miroshnikov, The laboratory modeling of generalized KdV solitary waves using MHD method, Abstracts of the First European Fluid Mechanics Conference, Cambridge, 1991.

25. Yu. B. Kolesnikov and V. A. Miroshnikov, The completeness of the KdV bore system, Abstracts of International Conference on Anisotropy of Fluid Flows in External Forces Fields: Geophysical: Technological, and Ecological Applications, Jurmala, 1990.

24. A. I. Akishin, O. E. Aksenov, V. A. Miroshnikov, et al, Radiative stability of electroinsulating materials for fusion reactors, Abstracts of International Conference on Tests and Designs of Constructional Materials for the Thermonuclear Fusion (in Russian), Dubna, 1989.  

23. O. E. Aksenov and V. A. Miroshnikov, Low-temperature installation for gamma irradiation and mechanical testing of electroinsulating materials applied in fusion reactors. Proceedings of the First International Conference on Radiative Physics of Solid Bodies (in Russian), 12 pp., Sochi, 1989.

22. V. E. Aluker, O. E. Aksenov, V. A. Miroshnikov, et al., Influence of gamma irradiation at 9K on mechanical characteristics of composite electroinsulating materials, Abstracts of International Conference on Experimental Methods for Physical Investigations (in Russian), Leningrad, 1989.

21. V. A. Miroshnikov and V. G. Gringoff, Installation for the Gamma Irradiation at Cryogenic Temperatures (in Russian), Riga, 1989.

20. O. E. Aksenov, A. N Stepanov, V. A. Miroshnikov, et al., Design and tests of electroinsulating materials and insulating systems for windings of the thermonuclear installation T-15, Proceedings of the All-Union Conference on Constructional Materials for Thermonuclear Fusion Reactors (in Russian), 3 pp., Moscow, 1988. 

19. V. A. Miroshnikov, C. A. Rumyancev, O. E. Aksenov, et al., Conduct of electroinsulating materials on the basis of filamentary polyimides in irradiation conditions, Abstracts of the Fourth All-Union Conference on Physics of Dielectric Materials (in Russian), Tomsk, 1988.

18. V. A. Miroshnikov, Thermophysical characteristics of electroinsulating materials, Report for Meeting of the Electrotechnical Department of USSR (in Russian), Riga, 1986.

17. V. A. Miroshnikov, V. G. Gringoff, and A. G. Temkin, Determination of the radiative sources intensity in polymer insulating materials induced by the gamma irradiation, Proceedings of the Conference on New Designs in the Field of Electroinsulating Materials (in Russian), 8 pp., Riga, 1985.

16. A. N Stepanov, O. E. Aksenov, V. A. Miroshnikov, et al., Design and investigation of electroinsulating materials for the T-15 windings, Proceedings of the Third All-Union Conference on Investigation and Design of Materials for Thermonuclear Fusion Reactors (in Russian), 8 pp., Leningrad, 1984.

15. V. A. Miroshnikov, V. G. Gringoff, and A. G. Yagolkovskiy, Heat discharge induced by the gamma irradiation of the electroinsulating system of T-15, Proceedings of the Third All-Union Conference on Investigation and Design of Materials for Thermonuclear Fusion Reactors (in Russian), 4 pp., Leningrad, 1984.

14. A. G. Temkin, V. G. Gringoff, and V. A. Miroshnikov, Non-uniform heat discharge in electro-insulating materials, Proceedings of the Conference on Heat Conductivity and Diffusion (in Russian), 7 pp., Riga, 1984.

13. V. A. Miroshnikov, V. G. Gringoff, A. N Stepanov, and O. E. Aksenov, Heat-discharge field generated by the gamma radiation absorption in compounds used in the electroinsulating system of the installation T-15, Proceedings of the Third All-Union Conference on Engineering Problems of Thermonuclear Fusion Reactors (in Russian), 6 pp., Moscow, 1984.

12. V. A. Miroshnikov and V. G. Gringoff, Heat discharge induced by the gamma irradiation in electroinsulating materials, Proceedings of the All-Union Conference of Junior Scientists on Electroinsulating and Foiled Dielectric Materials (in Russian), 9 pp., Moscow, 1983.

11. V. A. Miroshnikov and V. G. Gringoff, Determination of the heat-discharge field and the gamma radiation absorption in electroinsulating materials, Proceedings of the Scientific-Technical Conference of Riga Polytechnic Institute (in Russian), 8 pp. Riga, 1982.

10. V. A. Miroshnikov and R. Ya. Ozols, High-gradient magnetic separation, Magnetohydrodynamics, 18, #4, 5-17, 1982. 

9. V. A. Miroshnikov, Processes of the Phoresis in Magnetic and Electric Fields (in Russian), Dolgoprudniy, 1981.

8. V. A. Miroshnikov, Magnetohydrodynamic sedimentation in a cylindrical current-carrying tube, Magnetohydrodynamics, 17, #2, 131-133, 1981.

7. V. A. Miroshnikov, Thermophoresis of a ferromagnetic sphere, Magnetohydrodynamics, 17, #2, 16-21, 1981.

6. E. Blums, V. A. Miroshnikov, and R. Ozols, Thermomagnetophoretic separation, Proceedings of the 10th Riga MHD Conference (in Russian), 217-218, Salaspils, 1981.

5. V. A. Miroshnikov and R. Ozols, Non-stationary magnetophoresis in a gradient flow, Proceedings of the 10th Riga MHD Conference (in Russian), 215-216, Salaspils, 1981.

4. V. A. Miroshnikov, Motion of a sphere in crossed electric and magnetic fields at small Reynolds numbers, Magnetohydrodynamics, 17, #1, 63-71, 1981.

3. V. A. Miroshnikov, Magnetohydrodynamic flow around a stationary sphere, Magnetohydrodynamics, 16, #3, 262-267, 1980.

2. V. A. Miroshnikov, Thermophoresis of ferrosuspensions in a magnetic field, Proceedings of the All-Union Conference on Hydrodynamics and Heat Physics of Magnetic Fluids (in Russian), 177-182, Salaspils, 1980.

1. V. A. Miroshnikov, Non-stationary convective magnetic sedimentation in the field of a straight conductor, Magnetohydrodynamics, 15, #4, 10-16, 1979. 

Publications of Advised Students
8.  S.J. Lonecke, Symbolic and numeric computing of aperiodic pulsations in invariant hyperbolic structures, Abstracts of the XIX Annual HRUMC, Western New England University, April 21, 2012, Springfield, Massachusetts.

7.  B.A. Guevara, E.S. Lugo, Mathematical modeling of periodic pulsations of demographic trends in invariant trigonometric structures, Abstracts of the XIX Annual HRUMC, Western New England University, April 21, 2012, Springfield, Massachusetts.

6.  V.A. Miroshnikov, N. Aqeel, R. Bararwandika, S. Chavez, M. Conroy, R. Foti, H. Gardezi, Y. Innabi, K. Laurent, G.V. Miroshnikov, E.M. Toribio. Teaching fluid-dynamic cascades for undergraduates: analysis and simulation, FE Journal of Mathematical Education, 5, #1, 53-85, 2010. 
http://pphmj.com/abstract/5055.htm

5.  S. Chavez, E.M. Toribio, The Kolmogorov-like cascades of velocity of the transitional Couette flow, Abstracts of the XVII Annual HRUMC, p. 17. Keene State College, April 17, 2010, Keene, New Hampshire.

4.  H. Gardezi, G.V. Miroshnikov, Transversal waves of the Stokes flow at various Reynolds numbers, Abstracts of the XVII Annual HRUMC, p. 17. Keene State College, April 17, 2010, Keene, New Hampshire.

3.  R. Foti, R. Bararwandika, The fundamental solution of the Poiseuille flow with a plane of symmetry, Abstracts of the XVI Annual HRUMC, p. 39, Union College, April 18, 2009, Schenectady, New York.

2.  N. Aqeel, Y. Innabi, The fundamental solution of the Stokes flow with a plane of symmetry, Abstracts of the XVI Annual HRUMC, p. 39. Union College, April 18, 2009, Schenectady, New York.

1.  K. Laurent, M. Conroy, The fundamental solution of the Couette flow with a plane of symmetry, Abstracts of the XVI Annual HRUMC, p. 39. Union College, April 18, 2009, Schenectady, New York.   

Professional Affiliations

  • SIAM, member of the Mathematical Society
  • APS, member of the Physical Society
  • Sigma Xi, member of the Scientific Research Society
  • CAAM, member of the Mathematical Association
  • Mathematical Reviews, reviewer of the AMS Journal

 Awards

  • Award from the Latvian Scientific Council in 1991
  • Award from the French Government in 1993
  • Award from the Latvian Scientific Council in 1994
  • Award from the European Communities in 1995
  • Summer research award from the College of Mount Saint Vincent in 2006
  • Summer research award from the College of Mount Saint Vincent in 2007
  • Summer research award from the College of Mount Saint Vincent in 2009
  • Course release award from the College of Mount Saint Vincent in 2012