Roman Grigoriev
Associate Professor

 

Ph.D., California Institute of Technology, 1998
Phone: (404) 385-1130
Room: Howey - W304

EMail: roman.grigoriev [at] physics.gatech.edu

 

■ Research ■

Spatially extended nonequilibrium systems such as fluids, lasers and biological excitable media are described by potentially very many coupled degrees of freedom and display dynamics that can range from ordered (pattern formation near onset) to very disordered (fully-developed turbulence). While the methods of nonlinear science have achieved a certain "universal" (in the spirit of equilibrium critical phenomena) understanding of low-dimensional behavior in spatially extended systems, current tools for describing these systems fail when the dynamics are high-dimensional, involving many spatial and temporal degrees of freedom. The main goal is therefore to understand and describe spatiotemporal dynamics and learn to control them.

Professor Grigoriev's research is focused in the following areas:

• Chaotic mixing in fluids
• Dynamics of thin liquid films
• Theory and control of spatiotemporal chaos
• Nonlinear optics and dynamics of wide aperture lasers
• Spatially extended dynamics in living systems

More information about current research activities can be found on the group webpage.

■ Publications ■

1. "Pattern selection and control via localized feedback", R.O. Grigoriev and A. Handel, to appear in Phys. Rev. E.
   “Transient growth in driven contact lines,” R. O. Grigoriev, Physica D (in press).
2. “Chaotic mixing in spherical microdroplets,” R. O. Grigoriev, Phys. Fluids 17, 033601 (2005).
3. "Optically controlled mixing in microdroplets," R.O. Grigoriev and M.F. Schatz, Invited paper for the Proceedings of the 42nd AIAA Aerospace Sciences Meeting and Exhibit, AIAA-2004-756 (2004).
4. "Optical Manipulation of Microscale Fluid Flow," N. Garnier, R.O. Grigoriev and M.F. Schatz, Phys. Rev. Lett. 91, 054501 (2003).
5. "Contact Line Instability and Pattern Selection in Thermally Driven Liquid Films," R.O. Grigoriev, Phys. Fluids 15, pp. 1363-1374 (2003).
6. "Spectral Theory for the Failure of Linear Control in a Nonlinear Stochastic System," R.O. Grigoriev and A. Handel, Phys. Rev. E 66, 065301(R) (2002).
7. "Nonnormality and the Localized Control of Extended Systems," R.O. Grigoriev and A. Handel, Phys. Rev. E 66, 067201 (2002).
8. "Control of Evaporatively Driven Instabilities of Thin Liquid Films," R.O. Grigoriev, Physics of Fluids 14, 1895-1909 (2002).
9. “Symmetry and Control: Spatially Extended Chaotic Systems,”R. O. Grigoriev, Physica D 140, 171-193 (2000).
    

■ Group Sites ■

•  http://cns.physics.gatech.edu/~roman/index.html