Curriculum Vitae
VAKHTANG PUTKARADZE
VAKHTANG PUTKARADZE
Born: 1970, Citizenship: USA
Work address: Department of Mathematics, Colorado State University, Fort Collins CO 80235.
Work telephone: (970)-491-6440
Fax: (970)-491-2161
Email: putkarad-AT-math.colostate.edu
Work address: Department of Mathematics, Colorado State University, Fort Collins CO 80235.
Work telephone: (970)-491-6440
Fax: (970)-491-2161
Email: putkarad-AT-math.colostate.edu
Education and Professional Training
• Moscow Physico-Technical Institute: Master degree (high honors) in Applied Mathematics (1993), Department of Aeromechanics and Space Research.
• Copenhagen University: Ph.D in Physics and Applied Mathematics (1997)
Appointments
1993-1997: Ph.D-student,the Niels Bohr Institute, Copenhagen, Denmark. Scientific advisor: Tomas Bohr.
1995 Fellow in the Geophysical Fluid Dynamics summer school (Woods Hole, USA). Scientific advisor: Prof. E. A. Spiegel.
1997-1998 Postdoctoral Research Associate in the University of Chicago, James Franck Institute.
1998-Aug. 1999 L. E. Dickson instructor in the Department of Mathematics, University of Chicago.
Aug. 1999-2004: Assistant Professor, Department of Mathematics, University of New Mexico.
July 2004-Aug. 2005: Associate Professor (tenured), Department of Mathematics, University of New Mexico.
Aug. 2005-Current: Associate Professor (tenured), Department of Mathematics, Colorado State University.
May 2007-Current: Research Professor, Department of Mechanical Engineering, University of New Mexico.
1995 Fellow in the Geophysical Fluid Dynamics summer school (Woods Hole, USA). Scientific advisor: Prof. E. A. Spiegel.
1997-1998 Postdoctoral Research Associate in the University of Chicago, James Franck Institute.
1998-Aug. 1999 L. E. Dickson instructor in the Department of Mathematics, University of Chicago.
Aug. 1999-2004: Assistant Professor, Department of Mathematics, University of New Mexico.
July 2004-Aug. 2005: Associate Professor (tenured), Department of Mathematics, University of New Mexico.
Aug. 2005-Current: Associate Professor (tenured), Department of Mathematics, Colorado State University.
May 2007-Current: Research Professor, Department of Mechanical Engineering, University of New Mexico.
Proposals, submitted
1. PI (with D.Rudolph, R. Pries and P. Kennedy, CSU, H. Bessaih and B. SHader, U of Wyoming), Mentoring through critical transition in the 21st century, NSF, 2,400,000 $ Feb 2009-Feb 2014 (pending).
Contracts and Grants
1. PI, (with D. D. Holm, Imperial College), Mathematical models of particle self-assembly at the nano-scales, NSF DMS, 220,000 $, September 2005-August 2009 (current).
2. PI (with P. Vorobieff, UNM engineering), Experimental and numerical investigations in Jeffery-Hamel flows, DOE, 495,000 $ (expired).
3. PI (with P. Vorobieff, UNM Engineering), Flows in expanding channels, Petroleum Research Foundation, 80,000 $ , 2003-2006 (expired).
4. PI, Analytical investigation of Jeffery-Hamel flows and their stability, Sandia National Laboratory, 70,000 $, 2000-2002 (expired).
Popular Exposure and Outside Recognition
1. CSU news write-up on my work on self-organization and nano-sensors (2007).
2. My work with D. D. Holm on self-organization and nano-sensors has been reported on the DOE Discovery page July 2007, see http://ascr-discovery.science.doe.gov/kernels/holm1.shtml
3. CSU news write-up on the Humboldt award, February 2006.
4. My work on water braiding has been cited in American Physical Society: Events for the year 2004. Bulletin of APS, February 2005. See www.aps.org/publications/apsnews/physicsnews/upload/physnews04.pdf
5. Physics News Update (American Institute of Physics Weekly News), 692, July 2004.
6. Albuquerque Journal: Experiments Show Math Formulas Hold Water, July 9 2004.
7. Santa Fe New Mexican: Braiding Water Attracts UNM Professor, July 11 2004.
8. Complexity Digest, Issue 2004.28.
Awards: Teaching and Scientific
1. Humboldt Fellow, August 2006-May 2007.
2. Nominated by the UNM Department of Mathematics for Teacher of the Year award, 2003.
3. Japanese Society For Promotion of Sciences Fellowship, 2003.
4. Best undergraduate instructor in mathematics at UNM, 2003.
5. Visiting Professor at the University Aix-Marseille, July 2002.
Graduate Students
1. Keith Mertens, PhD expected Spring 2008.
2. Byongsoo Kim, PhD expected Spring 2009.
3. Steve Benoit, PhD expected Spring 2009.
4. John Trujillo, MSc 2005. (UNM).
Research Professors Sponsored
Dr. Shinya Watanabe (Currently at the Department of Mathematics, Ibaraki University, Japan)
Graduate Committee member
I served as a graduate committee member for the following students:
1. Dr. Aparna Korlimarla, Dept. of Mechanical Engineering, University of New Mexico.
2. Dr. Salil Gogte, Dept. of Mechanical Engineering, University of New Mexico.
3. Dr. Ganesh Balakrishnan, Center for High-Tech Materials (CHTM) and ECE, University of New Mexico.
Publications, submitted
1. Simplified models for flows in expanding/contracting channels, V. Putkaradze, S. Watanabe, Fluid Dynamics Research, under consideration (2008).
2. Nonlocal orientation-dependent dynamics of molecular strands, D. D. Holm, V. Putkaradze, C. R. Acad Sci Paris, under consideration (2008).
Publications, appeared or accepted
Numbers in square brackets indicates the number of citations, if known, according to scholar.google.com and scisearch.com as of September 2007.
30. Morphology of a stream on a hydrophopic surface. Part II: Meandering., B. Birnir, K. Mertens, V. Putkarazde and P. Vorobieff J. Fluid Mech, 607, pp. 401-417 (2008).
29. Geometric evolution equations for order parameters D. D. Holm, V. Putkaradze and C. Tronci, Physica D, in press (2008), arXiv:0704.2369.
28. Kinetic models of heterogeneous dissipation, D. D. Holm, V. Putkaradze and C. Tronci, J. Phys. A: Math. Theor. 41, 344010 (2008), arXiv:0712.0397.
27. Meandering of streams on hydrophobic surfaces as a noise-driven effect, B. Birnir, K. Mertens, V. Putkarazde and P. Vorobieff, Phys. Rev. Lett, 101. 114501 (2008).
26. Double bracket dissipation in kinetic theory for particles with anisotropic interactions, D. D. Holm, V. Putkaradze and C. Tronci, Proceedings of the Summer School and Conference on Poisson Geometry 2005 (SMR1665, ICTP, Trieste, Italy, 04-22 July 2005), arXiv:0707.4204
25. Geometric dissipation in kinetic equations D. D. Holm, V. Putkaradze and C. Tronci, C. R. Acad. Sci. Paris , 345, pp. 297-302 (2007), arXiv:0705.0765.
24. Formation and Evolution of Singularities in Anisotropic Geometric Continua D. D. Holm, V. Putkaradze, Physica D, 235 pp.33-47 (2007), arXiv:nlin/0608054.
23. A simple model for description of flows in symmetric channel expansions, V. Putkaradze and S. Watanabe, Phys. Lett A, to appear (2007).
22. Bifrucation, hysteresis and multiple solutions in expanding channel flows, V. Putkaradze and P. Vorobieff, Phys. Rev. Lett, 97, 144502 (2006).
21. Euler-alpha and vortex blob regularization of vortex filament and vortex sheet motion, M. Nitsche, D. D. Holm and V. Putkaradze, J. Fluid Mech., 555, 149-176 (2006) [1].
20. Formation of clumps and patches in self-aggregation of finite size particles, D. D. Holm and V. Putkaradze, Physica D, 220 (2), 183-196 (2006). ArXiv: nlin.PS/050620.
19. Theory and Experiment for Directed Self-Assembly of Nano-Particles, K. Mertens, V. Putkaradze, D. Xia and S. Brueck, J. Applied Physics, 98, 094309 (2005) [2].
18. Aggregation of finite sized particles with variable mobility , D D. Holm and V. Putkaradze, Physical Review Letters, 95, 225105 (2005) [10].
17. Morphology of a stream flowing down an inclined plane. Part 1: Braiding, K. Mertens, V. Putkaradze and P. Vorobieff, J. Fluid Mechanics, 531, 49-58 (2005) [3].
16. Braiding Patterns on an inclined plane, K Mertens, V Putkaradze and P Vorobieff, Nature, 430, 165 (2004) [3].
15. Rotating Cocentric Circular Peakons D D Holm, V Putkaradze and S Stechmann, Nonlinearity, 17, 1-24 (2004) [4].
14. Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations, D. D. Holm, V. Putkaradze, P. D. Weidman, B. Wingate, J. Stat. Phys., 113, (5/6), pp.841-854 (2003) [7].
13. Integral Methods for Shallow Free Surface Flows with Separation, S. Watanabe, V. Putkarazde, T. Bohr J. Fluid Mech, 480, pp. 233-265 (2003) [16].
12. Oblique stagnation flow on a circular cylinder, P. Weidman, V. Putkaradze, Eur. J. of Mech B, 22, pp. 123-131 (2003) [2].
11. Turbulent wake solutions for the Prandtl-α equations , V. Putkaradze and P. Weidman, Physical Review E, 67, 036304 (2003) [6].
10. Radial Flow of Two Immiscible Fluids: Analytical Solutions and Bifurcations, V. Putkaradze, J. Fluid Mech, 477, p.1 (2003) [4].
9. Power Laws and Stretched Exponentials in a Noisy Finite-time Singularity model, H. Fogedby and V. Putkaradze, Physical Review E, 66 021103 (2002) [8].
8. Logarithmic Bounds for Infinite Prandtl Number Rotating Convection, P. Constantin, C. Hallstrom, V. Putkaradze, J. Math. Phys, 42, 773 (2001) [8].
7. Non-uniform two-dimensional flow from a point source, V. Putkaradze, P. Dimon, Phys. Fluids, 12, 1 (2000) [4].
6. Heat transport in rotating convection P. Constantin, C. Hallstrom, V. Putkaradze, Physica D 125 3-4 (1999) p. 275 [17].
5. Separation and pattern formation in hydraulic jumps, T. Bohr, C. Ellegaard, A. E. Hansen, K. Hansen, A. Haaning, V. Putkaradze, S. Watanabe Physica A, 249, 111 (1998) [8].
4. Spatiotemporal Chaos in terms of unstable recurrent patterns, F. Christiansen, P. Cvitanović and V. Putkaradze, Nonlinearity 10, 1 (1997) [74].
3. Global Estimates and Shocks for the Noiseless Conserved KPZ equation, V. Putkaradze, T. Bohr and J. Krug, Nonlinearity 10, 823 (1997) [3].
2. Averaging theory for the structure of hydraulic jumps and separation in laminar free surface flows, T. Bohr, V. Putkaradze, & S. Watanabe, Phys. Rev. Lett. 79, 6, R1038 (1997) [31].
1. Shallow-water approach to the circular hydraulic jump, T. Bohr, P. Dimon, and V. Putkaradze, J. Fluid Mech. 254, 635 (1993) [34].
Book Chapters
V. Putkaradze, The role of inertial effects and conical flows in break-up of liquid threads, in Hydrodynamics of Droplet Collision and Fusion, Series Interfacial Science and Technology, edited by Arthur Hubbard, Elsevier (2004).
Proceedings and Preprints
6. Double bracket dissipation and its application to separation of particles using AFM tips, Proceedings of NOLTA 2007 conference, September 2007.
5. Numerical Study of Atom Interchange on Material Surface under Periodic Force, B. Kim, T. Hikihara and V. Putkaradze, Proceedings of NOLTA 2007 conference, September 2007.
4. A fast method for computing forces between floating particles, Proceedings of NOLTA 2006 conference, September 2006.
3. Forces between floating particles, Proceedings of NOLTA 2005 conference, October 2005.
2. Maximising passive vector stretching, V. Putkaradze and E. A. Spiegel, in the proceedings of summer school Geophysical Fluid Dynamics, Woods Hole Oceanographic Institute, (1995).
1. Non-analyticity of Radial Fluid Flow with a Free Surface, V. Putkaradze and H. H. Rugh, preprint of the Niels Bohr Institute, NBI-92-09.
Invited Talks and Presentations from August 2005
Over 40 invited colloquia and seminars before August 2005.
1. Ecole Polytechnique Federale de Lausanne (Switzerland), Invited talk for 60th anniversary conference for D. D. Holm, (July 2007)
2. University of Twente (Holland), Fluid mechanics, General colloquium (May 2007).
3. University of Heidelberg, Mathematics, General Colloquium (May 2007).
4. University of Aarhus (Denmark), Physics, General Colloquium (April 2006).
5. Danish Technical University, Physics, General Colloquium (April 2006).
6. University of Wyoming, Mathematics, General colloquium (February 2007).
7. Ecole Polytechnique Federale de Lausanne (Switzerland), Mathematics, invited lecture for the conference Perspectives in fluid mechanics (December 2006).
8. University of New Mexico, Mechanical Engineering (November 2006).
9. ETH Zurich, Civil Engineering, Colloquium (November 2006).
10. Ecole Polytechnique Federale de Lausanne (Switzerland), Mathematics, colloquium (November 2006).
11. University of Nottingham (UK), Mathematics, General colloquium (October 2006).
12. Imperial College, London (UK), Mathematics, General colloquium (October 2006).
13. University of Cologne (Germany), Physics, General colloquium (September 2006).
14. Department of Physics CSU, General Colloquium (August 2006).
15. University of Kyoto, Electrical Engineering, General Colloquium (June 2006).
16. Department of Mathematics, University of California at Santa Barbara, (February 2005).
17. Seminar, Department of Mathematics, CSU, October 2005.
Service since August 2005
1. Academic: Referee for Physical Review Letter, Physical Review E, Journal of Fluid Mechanics, Physica Scripta, Chaos, Physica D. Refereed over 20 papers since 2004.
2. Administrative/Outreach: Designed program for interaction between the Department and local high schools; submitted 3 grants, two are pending (MCTP21 NSF program and GK-12). I have set up a program of interacting with local high schools that has been designed together with Thompson school district and supported by the College of Natural Sciences. The program consisted of liaison connection to high schools (lectures and seminars for students and teachers) as well as Fun and Discovery summer school in 2006 and 2007.
3. Administrative/Department: Member of the search committee, 2007.
References
1. Prof. Tomas Bohr, Physics, Danish Technical University, Lyngby, Denmark, tbohr-AT- fysik.dtu.dk
2. Prof. Peter Constantin, Department of Mathematics, University of Chicago, USA, const-AT-math.unm.edu
3. Prof. Darryl Holm, Mathematics, Imperial College, London, d.holm-AT-imperial.ac.uk
4. Prof. Detlef Lohse, University of Twente, the Netherlands, lohse-AT-tn.utwente.nl
5. Prof. Patrick Weidman, Mechanical Engineering, University of Colorado, Boulder, Patrick.Weidman-AT-colorado.edu