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, 158, 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 PoiseuilleHagen flow in invariant elliptic structures, Bulletin of APS, 56, #18, 268, 2011.
62. Victor A. Miroshnikov et al, Teaching fluiddynamic cascades for undergraduates: analysis and simulation, Far East Journal of Mathematical Education, 5, #1, 5385, 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, 141165, 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 onedimensional 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 NavierStokes 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 1620, 2007.
54. Victor A. Miroshnikov, General solutions of the unsteady NavierStokes 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 NavierStokes equations in the class of the BoussinesqRayleigh series, Proceedings of SIAM Annual Meeting, AN06, 187, 2006.
52. Victor A. Miroshnikov, The BoussinesqRayleigh series for twodimensional flows away from boundaries, Applied Mathematics Research eXpress, 5, 184227, 2005. http://amrx.oxfordjournals.org/content/2005/5/183.abstract?sid=da043b6281c143018722e91e995c70c6
51. Victor A. Miroshnikov, Multiscale threedimensional 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 NavierStokes equations, Proceedings of SIAM Conference on Nonlinear Waves and Coherent Structures, 73, 2004.
48. Victor A. Miroshnikov, Computing general solutions of the NavierStokes equations, Proceedings of SIAM Annual Meeting, AN04, 233, 2004.
47. Victor A. Miroshnikov, General forced solution of the NavierStokes 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 BoussinesqRayleigh approximation for the rotational solitary wave on shallow water with uniform vorticity, Journal of Fluid Mechanics, 456, 132, 2002.
http://journals.cambridge.org/action/displayIssue?jid=FLM&volumeId=456&seriesId=0&issueId=1
44. Victor A. Miroshnikov, Topographic waves with multieddy 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 finiteamplitude 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 quasitwodimensional magnetohydrodynamical and geophysical flows, Progress in Fluid Flow Research: Turbulence and Applied MHD, 182, 281297, 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: Nonslip electrolyte flow past a moving electromagnetic cylinder, Progress in Fluid Flow Research: Turbulence and Applied MHD, 182, 455468, 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, 425430, Paris, 1997.
38. V. A. Miroshnikov, The finiteamplitude solitary wave on a stream with linear vorticity, European Journal of Mechanics B/Fluids, 15, #3, 395411, 1996.
37. V. Miroshnikov, Coupled solitary waves in viscous MHD and geophysical flows, Comptes Rendus Acad. Sci. Paris, 323, II b, 2330, 1996.
36. V. Miroshnikov, Coupled viscous solitary waves in quasi twodimensional magnetohydrodynamic and geophysical flows, Abstracts of the 7th BeerSheeva International Seminar on MHD Flows and Turbulence, 93, Jerusalem, 1996.
35. V. Miroshnikov and A. Shishko, Nonslip electrolyte flow past a moving electromagnetic cylinder, Abstracts of the 7th BeerSheeva 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, 113115, St. Petersburg, 1995.
31. B. Izrar, F. Lusseyran, and V. Miroshnikov, Twolevel solitary waves as generalized solutions of the KdV equation, Physics of Fluids, 7, 10561062, 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, #12, 149165, 1995.
29. Yu. B. Kolesnikov and V. A. Miroshnikov, Magnetohydrodynamic method of generating solitary waves, Magnetohydrodynamics, 28, #1, 5764, 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, Lowtemperature 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 T15, Proceedings of the AllUnion 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 AllUnion 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 T15 windings, Proceedings of the Third AllUnion 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 T15, Proceedings of the Third AllUnion 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, Nonuniform heat discharge in electroinsulating 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, Heatdischarge field generated by the gamma radiation absorption in compounds used in the electroinsulating system of the installation T15, Proceedings of the Third AllUnion 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 AllUnion 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 heatdischarge field and the gamma radiation absorption in electroinsulating materials, Proceedings of the ScientificTechnical Conference of Riga Polytechnic Institute (in Russian), 8 pp. Riga, 1982.
10. V. A. Miroshnikov and R. Ya. Ozols, Highgradient magnetic separation, Magnetohydrodynamics, 18, #4, 517, 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 currentcarrying tube, Magnetohydrodynamics, 17, #2, 131133, 1981.
7. V. A. Miroshnikov, Thermophoresis of a ferromagnetic sphere, Magnetohydrodynamics, 17, #2, 1621, 1981.
6. E. Blums, V. A. Miroshnikov, and R. Ozols, Thermomagnetophoretic separation, Proceedings of the 10th Riga MHD Conference (in Russian), 217218, Salaspils, 1981.
5. V. A. Miroshnikov and R. Ozols, Nonstationary magnetophoresis in a gradient flow, Proceedings of the 10th Riga MHD Conference (in Russian), 215216, Salaspils, 1981.
4. V. A. Miroshnikov, Motion of a sphere in crossed electric and magnetic fields at small Reynolds numbers, Magnetohydrodynamics, 17, #1, 6371, 1981.
3. V. A. Miroshnikov, Magnetohydrodynamic flow around a stationary sphere, Magnetohydrodynamics, 16, #3, 262267, 1980.
2. V. A. Miroshnikov, Thermophoresis of ferrosuspensions in a magnetic field, Proceedings of the AllUnion Conference on Hydrodynamics and Heat Physics of Magnetic Fluids (in Russian), 177182, Salaspils, 1980.
1. V. A. Miroshnikov, Nonstationary convective magnetic sedimentation in the field of a straight conductor, Magnetohydrodynamics, 15, #4, 1016, 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 fluiddynamic cascades for undergraduates: analysis and simulation, FE Journal of Mathematical Education, 5, #1, 5385, 2010.
http://pphmj.com/abstract/5055.htm
5. S. Chavez, E.M. Toribio, The Kolmogorovlike 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
