Selected Publications

• Interfacial and Low Reynolds number fluid dynamics

  1. Krechetnikov R., "On application of lubrication approximations to nonunidirectional coating flows with clean and surfactant interfaces," Phys. Fluids 22, 092102 (2010).

  2. Krechetnikov R., "Stability of liquid sheet edges," Phys. Fluids 22, 092101 (2010).

  3. Krechetnikov R., "Marangoni-driven singularities via mean-curvature flow," J. Phys. A 43, 242001 (2010).

  4. Krechetnikov R., "Rayleigh–Taylor and Richtmyer–Meshkov instabilities of flat and curved interfaces," J. Fluid Mech. 625, 387–410 (2009).

  5. Krechetnikov R., Homsy G.M., "Crown-forming instability phenomena in the drop splash problem," J. Colloid Interface Sci. 331, 555-559 (2009).

  6. Krechetnikov R., Homsy G.M., "Surfactant effects in the Landau-Levich problem," J. Fluid Mech. 559, 429-450 (2006).

  7. Krechetnikov R., Homsy G.M., "Experimental study of substrate roughness and surfactant effects on the Landau-Levich law," Phys. Fluids 17, 102108 (2005).

  8. Krechetnikov R., Homsy G.M., "Dip coating in the presence of a substrate-liquid interaction potential," Phys. Fluids 17, 102105 (2005).

  9. Fernandez J., Krechetnikov R., Homsy G.M., "Experimental study of a new surfactant-driven fingering phenomena in a Hele-Shaw cell," J. Fluid Mech. 527, 197-216 (2005).

  10. Krechetnikov R., Homsy G.M., "On physical mechanisms in chemical reaction-driven tip-streaming," Phys. Fluids 16, 2556-2566 (2004).

  11. Krechetnikov R., Homsy G.M., "On a new surfactant-driven fingering phenomenon in a Hele-Shaw cell," J. Fluid Mech. 509, 103-124 (2004).

• Geometric mechanics & Dynamical systems

  1. Krechetnikov R., Marsden J.E., "On the origin and nature of finite-amplitude instabilities in physical systems," J. Phys. A 42, 412004 (2009).

  2. Krechetnikov R., Marsden J.E., Nagib H.M., "A low-dimensional model of separation bubbles," Physica D 238, 1152-1160 (2009).

  3. Krechetnikov R., Marsden J.E., "Dissipation-induced instability phenomena in infinite-dimensional systems," Arch. Rat. Mech. Anal. 194, 611-668 (2009).

  4. Krechetnikov R., Marsden J.E., "Dissipation-induced instabilities in finite dimensions," Rev. Mod. Phys. 79, 519-553 (2007).

  5. Krechetnikov R., Marsden J.E., "A note on destabilizing effects of two fundamental non-conservative forces," Physica D 214, 25-32 (2006).

• High Reynolds number fluid dynamics (Ph.D. work)

  1. Krechetnikov R., Lipatov I.I., "On upstream influence in supersonic flows," J. Fluid Mech. 539, 167-178 (2005).

  2. Krechetnikov R., Lipatov I.I., "Hidden invariances in problems of 2D and 3D wall jets for Newtonian and non-Newtonian fluids," SIAM J. Appl. Math. 62, 1837-1855 (2002).

  3. Krechetnikov R., Lipatov I.I., "Time-periodic boundary layer under conditions of the large amplitude external disturbances," Trans. Central Aero-Hydrodynamics Inst. 31, 27-40 (2000).

  4. Krechetnikov R., Lipatov I.I., "Disturbances propagation in three-dimensional supersonic boundary layers," Journal of Applied Mechanics and Technical Physics 40, 461-470 (1999).

  5. Krechetnikov R., Lipatov I.I., "Disturbances propagation in three-dimensional viscous hypersonic boundary layers," Dynamics of Continuous Media (Transactions of Lavrentyev's Institute of Hydro-dynamics, Novosibirsk) 113, 93-98 (1998).