Publications

fluid turbulence  free surface flows  fluid mixing  cardiac dynamics  feedback control  spatiotemporal chaos  field theory 

Weak Fluid Turbulence  

  • J. Tithof, B. Suri, R. Pallantla, R. O. Grigoriev, M. F. Schatz, "Bifurcations in a quasi-two-dimensional Kolmogorov-like flow," J. Fluid Mech. 828, 837-866 (2017)
  • J. Barnett, D. R. Gurevich, R. O. Grigoriev, "Streamwise localization of traveling wave solutions in channel flow," Phys. Rev. E 95, 033124 (2017)
  • B. Suri, J. Tithof, R. O. Grigoriev, M. F. Schatz, "Forecasting fluid flows using the geometry of turbulence," Phys. Rev. Lett. 118, 114501 (2017)
  • B. Suri, J. Tithof, R. Mitchell, Jr., R. O. Grigoriev, M. F. Schatz, "Velocity profile in a two-layer Kolmogorov-like flow," Phys. Fluids 26, 053601 (2014)
  • R. Mitchell and R. O. Grigoriev, "Instabilities and mixing in two-dimensional Kolmogorov flow," (2012)

Free Surface Flows  

  • R. O. Grigoriev and T. Qin, "The effect of phase change on stability of convective flow in a layer of volatile liquid driven by a horizontal temperature gradient," under review at J. Fluid. Mech. (2017)
  • T. Qin and R. O. Grigoriev, "The effect of noncondensables on buoyancy-thermocapillary convection of volatile fluids in confined geometries," Int. J Heat Mass Transfer 90, 678 (2015)
  • T. Qin, Z. Tukovic, and R. O. Grigoriev, "Buoyancy-thermocapillary convection of volatile fluids under their vapors," Int. J Heat Mass Transfer 80, 38 (2015)
  • Y. Li, R. Grigoriev, and M. Yoda, "Experimental study of the effect of noncondensables on buoyancy-thermocapillary convection in a volatile silicone oil," Phys. Fluids 26, 122112 (2014)
  • T. Qin, M. Yoda, and R. O. Grigoriev, "The effect of noncondensables on buoyancy-thermocapillary convection in confined volatile fluids," in Proc. ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE2014-40124 (2014)
  • T. Qin and R. O. Grigoriev, "The effect of noncondensables on thermocapillary-buoyancy convection in volatile fluids," in Proc. 11th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, AIAA14-1898558 (2014)
  • T. Qin, Z. Tukovic, and R. O. Grigoriev, "Buoyancy-thermocapillary convection of volatile fluids under atmospheric conditions," Int. J Heat Mass Transfer 75, 284 (2014)
  • B. Suri, J. Tithof, R. Mitchell, Jr., R. O. Grigoriev, M. F. Schatz, "Velocity profile in a two-layer Kolmogorov-like flow," Phys. Fluids 26, 053601 (2014)
  • T. Qin and R. O. Grigoriev, "Convection, evaporation, and condensation of simple and binary fluids in confined geometries," in Proc. 3rd ASME Micro/Nanoscale Heat & Mass Transfer International Conference, MNHMT12-75266 (2012)
  • E. Greco and R. O. Grigoriev, "Thermocapillary migration of interfacial droplets," Phys. Fluids 21, 042105 (2009)
  • R. O. Grigoriev, V. Sharma and M. F. Schatz, "Optically controlled mixing in microdroplets," Lab Chip 6, 1369 (2006)
  • R. O. Grigoriev, "Transient growth in driven contact lines," Physica D 209, 105 (2005)
  • R. O. Grigoriev, "Chaotic mixing in spherical microdroplets," Phys. Fluids 17, 033601 (2005)
  • R. O. Grigoriev and M. F. Schatz, "Optically controlled mixing in microdroplets," Invited paper for Proc. 42nd AIAA Aerospace Sciences Meeting, AIAA-2004-756 (2004)
  • N. Garnier, R. O. Grigoriev and M. F. Schatz, "Optical manipulation of microscale fluid flow," Phys. Rev. Lett. 91, 054501 (2003)
  • R. O. Grigoriev, "Contact line instability and pattern selection in thermally driven liquid films," Phys. Fluids 15, pp. 1363-1374 (2003)
  • R. O. Grigoriev, "Control of evaporatively driven instabilities of thin liquid films," Phys. Fluids 14, 1895-1909 (2002)

Fluid Mixing  

  • R. Mitchell and R. O. Grigoriev, "Instabilities and mixing in two-dimensional Kolmogorov flow," (2012)
  • Transport and Mixing in Laminar Flows; From Microfluidics to Oceanic Currents (ed. R. Grigoriev, Wiley-VCH, 2011)
  • E. Greco and R. O. Grigoriev, "Thermocapillary migration of interfacial droplets," Phys. Fluids 21, 042105 (2009)
  • D. L. Vainchtein, J. Widloski and R. O. Grigoriev, "Resonant mixing in perturbed action-action-angle flow," Phys. Rev. E 78, 026302 (2008)
  • D. L. Vainchtein, J. Widloski and R. O. Grigoriev, "Resonant chaotic mixing in a cellular flow," Phys. Rev. Lett. 99, 094501 (2007)
  • D. L. Vainchtein, J. Widloski and R. O. Grigoriev, "Mixing properties of steady flow in thermocapillary driven droplets," Phys. Fluids 19, 067102 (2007)
  • R. O. Grigoriev, V. Sharma and M. F. Schatz, "Optically controlled mixing in microdroplets," Lab Chip 6, 1369 (2006)
  • R. O. Grigoriev, "Chaotic mixing in spherical microdroplets," Phys. Fluids 17, 033601 (2005)
  • R. O. Grigoriev and M. F. Schatz, "Optically controlled mixing in microdroplets," Invited paper for Proc. 42nd AIAA Aerospace Sciences Meeting, AIAA-2004-756 (2004)

Cardiac Tissue Dynamics  

  • D. R. Gurevich, C. Herndon, I. Uzelac, F. Fenton, R. O. Grigoriev "Level-set method for robust analysis of optical mapping recordings of fibrillation," CinC Proceedings (2017)
  • A. Garzon and R. O. Grigoriev "Memory effects, transient growth, and wave breakup in a model of paced atrium," Chaos 27, 093917 (2017)
  • C. D. Marcotte and R. O. Grigoriev "Dynamical mechanism of atrial fibrillation: a topological approach," Chaos 27, 093936 (2017)
  • C. D. Marcotte and R. O. Grigoriev "Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation," Chaos 26, 093107 (2016)
  • C. D. Marcotte and R. O. Grigoriev "Unstable spiral waves and local Euclidean symmetry in a model of cardiac tissue," Chaos 25, 063116 (2015)
  • G. Byrne, C. D. Marcotte, and R. O. Grigoriev "Exact coherent structures and chaotic dynamics in a model of cardiac tissue," Chaos 25, 033108 (2015)
  • G. Byrne, C. Marcotte, and R. O. Grigoriev "Exact coherent structures and dynamics of cardiac tissue," in Proc. European Study Group on Cardiac Oscillations, Trento, Italy 2014.
  • A. Garzon, R. O. Grigoriev and F. Fenton, "Continuous-time control of alternans in long Purkinje fibers," Chaos 24, 033124 (2014)
  • C. D. Marcotte and R. O. Grigoriev, "Implementation of PDE models of cardiac dynamics on GPUs using OpenCL," ArXiv (2013)
  • A. Garzon, R. O. Grigoriev, and F. H. Fenton, "Continuous-time feedback control of alternans in a model of Purkinje fibers," in Proc. IX Congress on Numerical Methods, Cali, Colombia 2013.
  • J. Bragard, A. Simic, J. Elorza, R. O. Grigoriev, E. M. Cherry, R. F. Gilmour Jr., N. F. Otani, and F. H. Fenton, "Shock-induced termination of reentrant cardiac arrhythmias: Comparing monophasic and biphasic shock protocols," Chaos 23, 043119 (2013)
  • A. Garzon, R. O. Grigoriev and F. Fenton, "Model-based control of cardiac alternans in Purkinje fibers," Phys. Rev. E 84, 041927 (2011)
  • A. Garzon, R. O. Grigoriev and F. Fenton, "Model-based control of cardiac alternans on a ring," Phys. Rev. E 80, 021932 (2009)

Feedback Control  

  • A. Garzon, R. O. Grigoriev and F. Fenton, "Continuous-time control of alternans in long Purkinje fibers," Chaos 24, 033124 (2014)
  • A. Garzon, R. O. Grigoriev, and F. H. Fenton, "Continuous-time feedback control of alternans in a model of Purkinje fibers," in Proc. IX Congress on Numerical Methods, Cali, Colombia 2013.
  • A. Garzon, R. O. Grigoriev and F. Fenton, "Model-based control of cardiac alternans in Purkinje fibers," Phys. Rev. E 84, 041927 (2011)
  • A. Garzon, R. O. Grigoriev and F. Fenton, "Model-based control of cardiac alternans on a ring," Phys. Rev. E 80, 021932 (2009)
  • R. O. Grigoriev, A. Handel "Localised Control of spatiotemporal chaos," in Handbook of Chaos Control, 2nd Ed. (ed. E. Schoell and H. G. Schuster, Wiley-VCH, 2007)
  • A. Handel and R. O. Grigoriev, "Transient dynamics and nonlinear stability of spatially extended systems," Phys. Rev. E 74, 036302 (2006)
  • A. Handel and R. O. Grigoriev, "Pattern selection and control via localized feedback," Phys. Rev. E 72, 066208 (2005)
  • R. O. Grigoriev and A. Handel, "Spectral theory for the failure of linear control in a nonlinear stochastic system," Phys. Rev. E 66, 065301(R) (2002)
  • R. O. Grigoriev and A. Handel, "Nonnormality and the localized control of extended systems," Phys. Rev. E 66, 067201 (2002)
  • R. O. Grigoriev, "Symmetry and control: spatially extended chaotic systems," Physica D 140, 171-193 (2000)
  • R. O. Grigoriev, "Identification and control of symmetric systems," (1998)
  • R. O. Grigoriev, "Symmetry and localized control of extended chaotic systems," Ph.D. Thesis, 1998
  • R. O. Grigoriev, "Control of spatially extended chaotic systems," in Handbook of Chaos Control (ed. H. G. Schuster, Wiley-VCH, 1998)
  • R. O. Grigoriev and M.C. Cross, "Controlling physical systems with symmetries," Phys. Rev. E 57, 1550-1554 (1998)
  • R. O. Grigoriev, S.G. Lall and G.E. Dullerud, "Localized optimal control of spatiotemporal chaos," in Proc. of International Symposium on Nonlinear Theory and its Applications, 1997.
  • R. O. Grigoriev, "Optimal control of spatiotemporal chaos in coupled map lattices," in Proc. of IUTAM Symposium on New Applications of Nonlinear and Chaotic Dynamics in Mechanics, 1997 (Kluwer Academic, 1998)
  • R. O. Grigoriev, M.C. Cross and H.G. Schuster, "Pinning control of spatiotemporal chaos," Phys. Rev. Lett. 79, 2795-2798 (1997)

Spatiotemporal Chaos  

  • C. D. Marcotte, and R. O. Grigoriev "Adjoint eigenfunctions of temporally recurrent single-spiral solutions in a simple model of atrial fibrillation," Chaos 26, 093107 (2016)
  • C. D. Marcotte, and R. O. Grigoriev "Unstable spiral waves and local Euclidean symmetry in a model of cardiac tissue," Chaos 25, 063116 (2015)
  • G. Byrne, C. D. Marcotte, and R. O. Grigoriev "Exact coherent structures and chaotic dynamics in a model of cardiac tissue," Chaos 25, 033108 (2015)
  • G. Byrne, C. Marcotte, and R. O. Grigoriev "Exact coherent structures and dynamics of cardiac tissue," in Proc. European Study Group on Cardiac Oscillations, Trento, Italy 2014.
  • A. C. Perkins, R. O. Grigoriev, and M. F. Schatz, "Modal spectra extracted from nonequilibrium fluid patterns in laboratory experiments in Rayleigh-Benard convection," Phys. Rev. Lett. 107, 064501 (2011)
  • R. O. Grigoriev and H.G. Schuster, "Solvable model for spatiotemporal chaos," Phys. Rev. E 57, 388-396 (1998)
  • R. O. Grigoriev and M.C. Cross, "Dynamics of coupled maps with a conservation law," Chaos 7, 311-330 (1997)

Field Theory  

  • V. Bornyakov and R. Grygoryev, "3D SU(2) Pure gauge theory in the maximally abelian gauge," Nucl. Phys. B Supplement 30, 576-578 (1993)
  • R. O. Grigorev, "Quantization of systems in incomplete spaces and the problem of particle production by a gravitational field," Theor. Math. Phys. 89, 1348-1353 (1991)

Students' Ph.D. Theses  

  • Christopher Marcotte, "Understanding sustained spiral chaos using non-chaotic solutions of a simple model of atrial excitation" (2016)
  • Tongran Qin, "Buoyancy-thermocapillary convection of volatile fluids in confined and sealed geometries" (2016)
  • Radford Mitchell, "Transition to turbulence and mixing in a quasi-two-dimensional Lorentz force-driven Kolmogorov flow" (2013)
  • Alejandro Garzon, "Model-based control of cardiac alternans on one dimensional tissue" (2010)
  • Edwin Greco, "Thermal and hydrodynamic interactions between a liquid droplet and a fluid interface" (2008)
  • Andreas Handel, "Limits of localized control in extended nonlinear systems" (2004)