Dr. Victor A. Miroshnikov

EDUCATION

During four decades of his carrier in leading scientific centers of Russia, Latvia, France, and USA, he published numerous papers in fluid dynamics, magnetohydrodynamics, and mass transfer. He has made seminal contributions to the theory of surface waves, internal waves, and coherent structures. He also pioneered in development of the experimental and theoretical computation in invariant structures.

RESEARCH EXPERIENCE

(a) Development of invariant structures and the method of decomposition in invariant structures (DIS) with fluid-dynamic applications [52, 59, 65, 67, 68, 70, 71].

(b) Propagation and structure of vortical and viscous solitary waves in geophysical and magnetohydrodynamical flows [29, 31, 37, 38, 45].

(c) Boundary layer control of the three-dimensional flow past a cylinder in the electromagnetic field [40].

(d) The method of matched asymptotic expansions and the multipole expansion for three-dimensional flows past a sphere in electric and magnetic fields [3, 4, 7].

(e) Nonstationary convective mass transfer of heterogeneous systems in magnetic and electric fields with technological, biological, and medical applications [1, 9, 10].

LIST OF PUBLICATIONS

1. V. A. Miroshnikov, Nonstationary convective magnetic sedimentation in the field of a straight-line conductor with a current. Magnetohydrodynamics, 15, 4, 365-370, 1979. http://mhd.sal.lv/authors/Miroshnikov_V_A.html

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.

3. V. A. Miroshnikov, Magnetohydrodynamic flow around a stationary sphere. Magnetohydrodynamics, 16, No. 3, 262-267, 1980. http://mhd.sal.lv/authors/Miroshnikov_V_A.html

4. V. A. Miroshnikov, Motion of a sphere in crossed electric and magnetic fields at small Reynolds numbers. Magnetohydrodynamics, 17, 1, 63-71,1981. http://mhd.sal.lv/authors/Miroshnikov_V_A.html

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.

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

7. V. A. Miroshnikov, Thermophoresis of a ferromagnetic sphere. Magnetohydrodynamics, 17, 2, 122-125, 1981. http://mhd.sal.lv/authors/Miroshnikov_V_A.html

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

10. V. A. Miroshnikov and R. Ya. Ozols, High-gradient magnetic separation. Magnetohydrodynamics, 18, No. 4, 331-342, 1982. http://mhd.sal.lv/authors/Miroshnikov_V_A.html

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.

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.

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.

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.

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.

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.

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

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.

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.

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

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.

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.

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.

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.

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.

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.

29. Yu. B. Kolesnikov and V. A. Miroshnikov, Generation of solitary waves by the MHD method. Magnetohydrodynamics, 28, No. 1, 57-64, 1992. http://mhd.sal.lv/contents/1992/1/MG.28.1.10.R.html

30. V. 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, No. 2, 149-165, 1995. http://mhd.sal.lv/contents/1995/2/MG.31.2.5.R.html

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. http://dx.doi.org/10.1063/1.868548

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.

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

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.

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.

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.

37. V. Miroshnikov, Coupled solitary waves in viscous MHD and geophysical flows. Comptes Rendus Acad. Sci. Paris, 323, II b, 23-30, 1996. http://www.sciencedirect.com/science/journal/12518069

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. http://www.journals.elsevier.com/european-journal-of-mechanics-b-fluids/

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.

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

41. V. Miroshnikov, Chapter 20. Coupled viscous solitary waves in quasi-two-dimensional magnetohydrodynamic 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

42. V. Miroshnikov, Flow separation in finite-amplitude solitary waves on shallow water with constant vorticity. Bulletin of the APS, 44, 8, 90, 1999. http://www.aps.org/meetings/baps/dfd99.cfm

43. V. A. Miroshnikov, Internal solitary waves with multiple eddy bifurcations in stratified flow. Bulletin of APS, 45, 9, 111, 2000. http://www.aps.org/meetings/baps/dfd00.cfm

44. Victor A. Miroshnikov, Topographic waves with multi-eddy bifurcations formed by a stratified mixing layer. Final program and Abstracts of 6th SIAM Conference on Mathematical and Computational Issues in the Geosciences, 54, 2001. http://www.siam.org/meetings/gs01/

45. V. 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://dx.doi.org/10.1017/S0022112001007352

46. Victor A. Miroshnikov, General unsteady solution for nonlinear interaction of coherent structures. Final program and Abstracts of SIAM Annual Meeting, AN02, 138, 2002. http://www.siam.org/meetings/siam50/htlinfo.htm

47. Victor A. Miroshnikov, General forced solution of the Navier-Stokes Equations. Bulletin of APS, 48, 10, 140, 2003. http://www.aps.org/meetings/baps/dfd03.cfm

48. Victor A. Miroshnikov, Computing general solutions of the Navier-Stokes equations. , Final program and Abstracts of SIAM Annual Meeting, AN04, 233, 2004. http://www.siam.org/meetings/nw04/

49. Victor A. Miroshnikov, Coherent structures of general solutions of the Navier-Stokes equations, Final program and Abstracts of SIAM Conference on Nonlinear Waves and Coherent Structures, 73, 2004. http://m.njit.edu/Events/FACM05/

50. Victor A. Miroshnikov, Furcations of streamlines of the Poiseuille flow, Final program and Abstracts of SIAM Annual Meeting, AN05, 212, 2005. http://www.siam.org/meetings/an05/

51. Victor A. Miroshnikov, Multiscale three-dimensional vortex pairs of the Poiseuille flow. Bulletin of APS, 50, No. 9, 253, 2005. http://www.aps.org/units/dfd/meetings/dfd05.cfm

52. Victor A. Miroshnikov, The Boussinesq-Rayleigh series for two-dimensional flows away from boundaries. Applied Mathematics Research eXpress, No. 5, 184-227, 2005. http://dx.doi.org/10.1155/amrx.2005.183

53. Victor A. Miroshnikov, General solutions of the Navier-Stokes equations in the class of the Boussinesq-Rayleigh series. Final program and Abstracts of SIAM Annual Meeting, AN06, 187, 2006. http://www.siam.org/meetings/an06/

54. Victor A. Miroshnikov, General solutions of the unsteady Navier-Stokes equations in one, two, and three dimensions. Bulletin of APS, 51, No. 9, 146, 2006. http://www.aps.org/units/dfd/meetings/dfd06.cfm

55. Victor A. Miroshnikov, General solutions of fluid dynamics. Abs. 6th Int. Congress on Industrial and Applied Mathematics, Zurich, Switzerland, July 16-20, 2007. http://www.iciam.org/iciam2007/

56. Victor A. Miroshnikov, General solutions of the Navier-Stokes Equations and the vorticity transport equations in the Lamb variables. Final program and Abstracts of SIAM Annual Meeting, AN08, 41, 2008. http://www.siam.org/meetings/an08/

57. Victor A. Miroshnikov, The general series solution of the one-dimensional fluid dynamics with a plane of symmetry. Final program and Abstracts of 16th Annual HRUMC, 39, 2009. https://spock.skidmore.edu:8002/apex/f?p=114:1:839101216163320:::::hrumc%2Fapex%2Ff

58. Victor A. Miroshnikov, General solutions for singular fluctuations, resonant disturbances, and hidden perturbations of the Couette flow. Final program and Abstracts of SIAM Annual Meeting, AN09, 74, 2009. http://www.siam.org/meetings/an09/

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

60. Victor A. Miroshnikov, Hidden perturbations of the Couette flow. Abs. 17th Annual HRUMC, 33, 2010. https://spock.skidmore.edu:8002/apex/f?p=114:1:839101216163320:::::hrumc%2Fapex%2Ff

61. Victor A. Miroshnikov, Transversal waves of dual perturbations of the Poiseuille flow. Final program and Abstracts of SIAM Conference on Nonlinear Waves and Coherent Structures, 47, 2010. http://www.siam.org/meetings/nw10/

62. Victor A. Miroshnikov, Nour Aqeel, Robert Bararwandika, Stephanie Chavez, Meghan Conroy, Ryan Foti, Hussain Gardezi, Yanell Innabi, Karen Laurent, George V. Miroshnikov, and Elizabeth M. Toribio, Teaching fluid-dynamic cascades for undergraduate students: analysis and simulation. Far East Journal of Mathematical Education, 5, No. 1, 53-85, 2010. http://www.pphmj.com/abstract/5055.htm

63. Victor A. Miroshnikov, Spatiotemporal cascades of the Poiseuille-Hagen flow in invariant elliptic structures. Bulletin of APS, 56, No. 18, 268, 2011. http://www.aps.org/units/dfd/meetings/meeting.cfm?name=DFD11

64. Victor A. Miroshnikov, Existence of invariant elliptic structures and their application to conservative dynamical systems. Final program and Abstracts of 19th Annual HRUMC, 27, 2012. https://spock.skidmore.edu:8002/apex/f?p=114:1:839101216163320:::::hrumc%2Fapex%2Ff

65. Victor A. Miroshnikov, Dual perturbations of the Poiseuille flow in Invariant Elliptic Structures. Advances and Applications of Fluid Mechanics, 11, Issue 1, 1-58, 2012. http://www.pphmj.com/abstract/6711.htm

66. Victor A. Miroshnikov, Computing nonlinear waves of the Korteweg-de Vries and Korteweg-de Vries-Burgers equations in invariant structures, Final program and Abstracts of SIAM Annual Meeting, AN13, 110, 2013. http://www.siam.org/meetings/an13/

67. Victor A. Miroshnikov, Nonlinear Interaction of N Conservative Waves in Two Dimensions, American Journal of Computational Mathematics, 4, 127-142, 2014. http://dx.doi.org/10.4236/ajcm.2014.43012.

68. Victor A. Miroshnikov, Interaction of Two Pulsatory Waves of the Korteweg-de Vries Equation in a Zigzag Hyperbolic Structure, American Journal of Computational Mathematics, 4, 254-270, 2014. http://dx.doi.org/10.4236/ajcm.2014.43022.

69. Victor A. Miroshnikov, New Exact Solution for Nonlinear Interaction of Two Pulsatory Waves of the Korteweg – de Vries Equation in an Invariant Zigzag Structure. Final program and Abstracts of SIAM Conference on Nonlinear Waves and Coherent Structures, 65, 2014. http://www.siam.org/meetings/nw14/

70. Victor A. Miroshnikov, Deterministic Chaos of N Stochastic Waves in Two Dimensions, American Journal of Computational Mathematics, 4, No. 4, 289-303, 2014. http://dx.doi.org/10.4236/ajcm.2014.44025.

71. Victor A. Miroshnikov, Conservative Interaction of N Internal Waves in Three Dimensions, American Journal of Computational Mathematics, 4, No. 4, 329-356, 2014. http://dx.doi.org/10.4236/ajcm.2014.44029.