Recent publications

• V. Dousset with A. Pothérat (2008) Numerical simulation of a cylinder wake under strong axial magnetic field, Phys. Fluids, 20 017104 (13 pages).
   
• S. Molokov with R. Moreau and H.K. Moffatt (eds) (2007) Magnetohydrodynamics: Historical Evolution and Trends , Springer, series ‘Fluid Dynamics and its Applications’ vol. 80, 412 pp.
   
• S. Molokov with R. Moreau (2007) Julius Hartmann and his followers: a review on the properties of the Hartmann layer. In: Magnetohydrodynamics: Historical Evolution and Trends (S. Molokov, R. Moreau, H.K. Moffatt, eds), Springer 155-170.
   
• S. Molokov with P. Moreno Blosseville and S. Aleksandrova (2007) Buoyancy-driven MHD flow in electrically insulated rectanglar ducts, Magnohydrodynamics, 43 315-321.
   
• S. Molokov with H. Kohno (2007) Interfacial instability in aluminium reduction cells in a vertical magnetic field with a transverse gradient to the sidewall, Physics Letters, Physics Letters A 366 600-605.
   
• S. Molokov with H. Kohno (2007) Finite element analysis of interfacial instability in aluminium reduction cells in a uniform, vertical magnetic field, Int. J Engng Sci, 45 644-659.
   
• A. Pothérat (2007) Quasi two-dimensional perturbations in duct flows with a transverse magnetic field, Phys. Fluids 19:7 74104.
   
• J. Priede with G. Gerbeth (2007) Matched asymptotic solution for the solute boundary layer in a converging axisymmetric stagnation point flow, Int. J. Heat Mass Transf., 50 216-225.
   
• J. Priede with I. Grants and G. Gerbeth (2007) Inductionless magnetorotational instability in a Taylor-Couette flow with a helical magnetic field, Phys. Rev. E, 75 047303 (4 pages).
   
• J. Priede with I. Grants and G. Gerbeth (2007) Paradox of inductionless magnetorotational instability, J. Phys.: Conf. Ser., 64 012011 (7 pages).
   
• J. Priede with V. Shatrov, G. Gerbeth (2007) Basic flow and its 3D linear stability in a small spherical droplet spinning in an alternating magnetic field, Phys. Fluids, 19 078106 (4 pages).

• V. Dymkou (2006) PhD Dissertation Application of Operator Theory for the Representation of Continuous and Discrete Distributed Parameter Systems, University of Erlangen-Nuremberg, Germany.
   
• V. Dymkou with R. Rabenstein and P. Steffen (2006) Discrete simulation of a class of distributed systems using functional analytic methods, Multidimensional Systems and Signal Processing Vol. 17 Num. 2-3, Jul, pp. 177 - 209.
   
• S. Molokov, with J. Reimann, L. Bühler, and C. Mistrangelo (2006) Magneto-hydrodynamic issues of the HCLL blanket, Fusion Engineering and Design, 81 625-629.

• A. Pothérat with T. Alboussière (2006) Bounds on the Attractor dimension for Low-Rm wall bound MHD turbulence , Phys. Fluids, 18 125102.

• J. Priede with K. Biswas, R. Hermann, J. Das, G. Gerbeth, J. Acker (2006) Tailoring the microstructure and mechanical properties of Ti-Al alloy using a novel electromagnetic stirring method, Scripta Materialia, 55 pp. 1143-1146.
   
• J. Priede with J. Etay and Y. Fautrelle (2006) Edge pinch instability of liquid metal sheet in a transverse high-frequency magnetic field, Phys. Rev. E., 73 066303 (10 pages).
   
• J. Priede with G. Gerbeth (2006) Boundary-integral method for poloidal axisymmetric AC magnetic fields, IEEE Trans. Magn., 42 pp. 301-308.
   
• J. Priede with G. Gerbeth (2006) Stability analysis of an electromagnetically levitated sphere, J. Appl. Phys., 100 054911 (10 pages).

• V. Dymkou, with R. Rabenstein, and P. Steffen (2005) Solution of General Vector Partial Differential Equations by Multidimensional Transform Methods 4th International Workshop on Multidimensional (nD) Systems (NDS 2005), Wuppertal, Germany, July 2005.
   
• V. Dymkou (2005) Discrete Simulation of a Class of Distributed Systems, Abstracts of the Intern. Math Conference Erugin's reading -X, May 24-26, Mogilev, Belarus, pp.96-97.
   
• S. Molokov, with J.E. Allen, A. Lukyanov, and D. Wall (2005) The fragmentation of wires by high pulsed currents , Proc. 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD, Riga, Jurmala, Latvia, June 27 - July 1, 2005, 271.
   
• S. Molokov, with J. Mao, and S. Aleksandrova (2005) Joule heating effect in MHD duct flows, Proc. 15th Riga and 6th PAMIR Conference on Fundamental and Applied MHD, Riga, Jurmala, Latvia, June 27 - July 1, 247-250.
   
• S. Molokov, with D.P. Wall, and J.E. Allen (2005) Influence of the skin effect an current risetime on the fragmentation of wires by pulsed currents, J.Phys. D. Applied Physics, 98 023304, 1-18.

• A. Pothérat with J. Sommeria, and R. Moreau (2005) Numerical simulations of An effective 2d model for MHD flows, J.Fluid Mech., 534 115-143.

• J. Priede with G. Gerbeth (2005) Stability of an electromagnetically levitated spherical sample in a set of coaxial circular loops, IEEE Trans. Magn., 41 pp.2089-2101.
   
• J. Priede with G. Gerbeth (2005) Breakdown of Burton-Prim-Slichter approach and lateral solute segregation in radially converging flows, J. Cryst. Growth, 285 pp. 261-269.
   
• J. Priede with G. Gerbeth (2005) A model of low-frequency rotating magnetic field with a weak axial gradient, Magnetohydrodynamics, 41 pp. 189-198.

• S. Aleksandrova and S. Molokov (2004) Three-dimensional buoyant convection in a rectangular cavity with differentially heated walls in a strong magnetic field, Fluid Dyn. Research, 35 37-66.
   
• V. Dymkou, with R. Rabenstein, and P. Steffen (2004) An Operator Approach for Physical Modelling of Distributed Parameter Systems. 6th IMA Conf. on Mathematics in Signal Processing, The Institute of Mathematics and its Applications, Cirencester, UK, Dec. 2004.
   
• V. Dymkou, with R. Rabenstein, and P. Steffen (2004) Application of Operator Theory to Discrete Simulation of Continuous Systems, Proc. 16th International Symposium on Mathematical Theory of Networks and Systems(MTNS2004), Leuven, Belgium, July 2004.

• Kharicha, A., Molokov, S., Aleksandrova, S. and Bühler, L. (2004) Buoyant convection in the HCLL blanket in a strong, uniform magnetic field, Forschungszentrum Karlsruhe Report, FZKA 6959, 121 p.
   
• Lukyanov, A. & Molokov, S. (2004) Flexural magneto-elastic vibrations of thin metal wires , J. Phys. D.: Appl. Phys., 37, 784-793.
   
• Mao, J., Aleksandrova, S. & Molokov, S. (2004) Heat transfer and Joule heating effect in magnetohydrodynamic duct flows , Proceedings of the International Symposium on Heating by Electromagnetic sources, Padua, Italy, June 22-25, 381-388.

• S. Molokov, with A. Lukyanov (2004) Flexural magneto-elastic vibrations of thin metal wires, J. Phys. D.: Appl. Phys., 37 784-793.

• A. Pothérat, with T. Alboussière (2004) Mathematical estimates for the size of the small scales in low-Rm MHD Turbulence, Magnetohydrodynamics, 39 227-234.

• V. Dymkou, with M. Dymkov (2003) Fourier transform to optimization of continuous 2D systems, Int. J. Applied Mathematics and Computer Science. Special Issue. Vol. 13, 1 pp. 45-54.
   
• S. Molokov with J.E. Allen and D.P. Wall (2003) The fragmentation of wires by pulsed currents: beyond the first fracture, J. Phys. D.: Applied Physics, 36 2757-2766.
   
• S. Molokov, with I. Cox (2003) Deformation of a free surface due to convective flow in a cavity in a strong uniform magnetic field, Magnetohydrodynamics, 39 303-310.
   
• S. Molokov, with L. Bühler (2003) Three-dimensional buoyant convection in a rectangular box with thin conducting walls in a strong horizontal magnetic field, Forschungszentrum Karlsruhe Report FZKA 6817.
   
• S. Molokov, with C.B. Reed (2003) Parametric study of the liquid metal flow in a straight insulated circular duct in a strong nonuniform magnetic field, Fusion Science and Technology, 32 200-216.
   
• S. Molokov, with C.B. Reed (2003) Liquid metal MHD flows in circular ducts at intermediate Hartmann numbers and interaction parameters , Magnetohydrodynamics, 39 539-546.
   
• S. Molokov, with D.P. Wall, and J.E. Allen (2003) The fragmentation of wires by pulsed currents: beyond the first fracture , J.Phys. D. Applied Physics, 36 2757 - 2766.
   
• S. Molokov, with T. Tagawa, S. Aleksandrova, and L. Bühler (2003) Three-dimensional buoyant convection in a rectangular box in a strong horizontal magnetic field, Proc. 4th International Conference on Electromagnetic Processing of Materials, Lyon, France, 14-17 October pp. 1-6.
   
• S. Molokov, with A. Lukyanov, and G. El (2003) Suppression of instabilities in aluminium reduction cells by an alternating magnetic field, 4th International Conference on Electromagnetic Processing of Materials, Lyon, France, 14-17 October p. 1.

• A. Pothérat, with T. Alboussière (2003) Attractor dimensions small scales and anisotropy in low-Rm MHD Turbulence, Phys. Fluids, 10 1370-1380.

• J. Priede with V. Shatrov, G. Gerbeth (2003) Three-dimensional linear stability analysis of the flow in a liquid spherical droplet driven by an alternating magnetic field., Phys. Fluids, 15 pp. 668-678.

• V. Dymkou (2002) An optimization problem for some continuous 2D systems, Proceedings of 8th IEEE International Conference on Methods and Models in Automation and Robotics (MMAR-2002), 2-5 September, 2002, Szczecin, Poland, pp. 421-426.

• V. Dymkou with A. Fursikov (2002) On properties of solenoidal vector fields, Abstracts of the Intern. Conference Erugin's reading-IX, May 09-22, Brest, Belarus , pp. 57-58.
   
• S. Molokov (2002) Evolution of a free surface in a strong vertical magnetic field, Proc. 5th Int. Conf. on Fundamental and Applied MHD (PAMIR), Ramatuelle, France, II-65 - II-70.
   
• S. Molokov and S. Aleksandrova (2002) Classification of buoyant convective flows in cylindrical cavities in a strong, uniform, axial magnetic field, Proc. 5th Int. Conf. on Fundamental and Applied MHD (PAMIR), Ramatuelle, France I-81 - I-86.
   
• S. Molokov, with S. Aleksandrova and C.B. Reed (2002) Modelling of liquid metal duct and free-surface flows using CFX, Argonne National Laboratory Report ANL/TD/TM02-30.
   
• S. Molokov, with I. Cox (2002) Deformation of a free surface dues to convective flow in a cavity in a strong uniform magnetic field, Proc. 5th Int. Conf. on Fundamental and Applied MHD (PAMIR), Ramatuelle, France I-251 - I-252.
   
• S. Molokov, with C.B. Reed (2002), Liquid metal MHD flows in circular ducts at intermediate Hartmann numbers and interaction parameters, Proc. 5th Int. Conf. on Fundamental and Applied MHD (PAMIR), Ramatuelle, France I-69 - I-74.
   
• S. Molokov, with C.B. Reed (2002) Flow of a two-dimensional liquid metal jet in a strong magnetic field, Proc. 5th Int. Conf. on Fundamental and Applied MHD (PAMIR), Ramatuelle, France VII-1 - VII-6.

• A. Pothérat, with P.A. Davidson (2002) A note on Bodewadt-Hartmann layers, Eur. J. Mech. /B, 21 541-559.
   
• A. Pothérat, with J. Sommeria, and R. Moreau (2002) Effective boundary conditions for MHD flows with thin Hartmann layers , Phys. Fluids, 14 403-410.

• Aleksandrova, S. (2001) Buoyant convection in cavities in a strong magnetic field. PhD thesis, Coventry University, U. K.

• S. Molokov with C.B. Reed (2001) Liquid metal flow in an insulated circular duct in a strong nonuniform magnetic field. Part 1. Flow in a straight duct and the benchmark problem, Argonne National Laboratory Report, ANL/TD/TM01-18.
   
• S. Molokov, with C.B. Reed (2001) Liquid metal flow in an insulated circular duct in a strong nonuniform magnetic field. Part 2. Inclination of the field gradient to the duct axis, Argonne National Laboratory Report ANL/TD/TM01-19.
   
• S. Molokov and G. El, with A. Lukyanov (2001), Instability of MHD-modified interfacial waves revisited, Phys. Lett. A, 290 165-172.
   
• S. Molokov, with A. Lukyanov (2001) Flexural vibrations induced in thin metal wires carrying high currents, J. Phys. D: Applied Physics, 34 1543-1552.
   
• S. Molokov, with A. Lukyanov (2001) The role of external circuits in the wire fragmentation, IEE Colloquium Digest No. 01/156, 23/1-23/4.
   
• S. Molokov, with A. Lukyanov (2001) Why high pulsed currents shatter metal wires?, Proc. IEEE Pulsed Power/Plasma Science Conference PPPS2001, Las Vegas p.1599-1602.
   
• S. Molokov, with I. Cox and C.B. Reed (2001) Theoretical investigation of liquid metal MHD free surface flows for ALPS, Fusion Technology, 39 880-884.