Bruce R. Fabijonas



Education University of Illinois at Chicago
PhD in Applied Mathematics, July 1997
Thesis Advisor: Alexander Lifschitz-Lipton
Thesis Title: Secondary instabilities of linear flows with elliptic streamlines

University of Illinois at Chicago
MS in Applied Mathematics, December 1993

University of Illinois at Chicago
BS in Physics, BS in Mathematics, Honors College, December 1992.
Employment
2007-present Research Scientist
Kingsbury, Inc.
1999-2006 Assistant Professor
Department of Mathematics
Southern Methodist University
2001-2005 Guest Researcher (part time)
Theoretical Division
Los Alamos National Laboratory
2000-2006 Faculty Appointee (part time)
Mathematical and Computational Sciences Division
National Institute of Standards and Technology
1997-1999 National Research Council Postdoctoral Fellow
Mathematical and Computational Sciences Division
National Institute of Standards and Technology


Awards Graduate Student Teaching Award, UIC Math Department, Fall 1994.
Funding NIST/NSF SURF, Research experience for one undergraduate at NIST, May 23-August 12, 2005.
NIST/NSF SURF, Research experience for three undergraduates at NIST, May 24-August 13, 2004.
NIST/NSF SURF, Research experience for two undergraduates at NIST, May 28-August 15, 2003.
NIST/NSF SURF, Research experience for one undergraduate at NIST, May 28-August 15, 2002.
SIAM Travel Grant to ICIAM 99, partial support of travel and lodging to ICIAM 99 in Edinburgh, Scotland, July 5-9, 1999.
CRDF-RBRF Young Investigator Program, subsistence and travel to Moscow, Russia, addendum to CRDF grant held by D.W. Lozier (NIST) and J.M. Rappoport (Russian Academy of Sciences), October 11, 1998 to November 18, 1998.
NRC Postdoctoral Fellowship, with D.W. Lozier, August 18, 1997 to August 17, 1999.


Publications Fluid Mechanics (Appeared)
  1. A.Lifschitz and B.R.Fabijonas, A new class of instabilities of rotating fluids, Physics of Fluids 8 (1996) 2239-2241.
  2. B.R.Fabijonas, D.D.Holm, and A.Lifschitz, Secondary instabilities of flows with elliptic streamlines, Physical Review Letters 78 (1997) 1900-1903.
  3. B.R.Fabijonas and A.Lifschitz, Asymptotic analysis of secondary instabilities of rotating fluids, Journal of Applied Mathematics and Mechanics (ZAMM) 78 (1998) 597-607.
  4. A.Lifschitz, T.Miyazaki, and B.R.Fabijonas, A new class of instabilities of rotating flows, European Journal of Mechanics B 17 (1998) 605-613.
  5. M.V.Melander and B.R.Fabijonas, Self similar enstrophy divergence in a shell model of istropic turbulence, Journal of Fluid Mechanics 463 (2002) 241-258.
  6. B.R.Fabijonas Secondary instabilities of rotating flows in the presence of a magnetic field: the case of circular streamlines, Physics of Plasmas 9 (2002) 3359-3363.
  7. B.R.Fabijonas and D.D.Holm, Mean effects of turbulence on elliptic instability in fluids, Physical Review Letters 90 (2003) 124501.
  8. M.V.Melander and B.R.Fabijonas Transients in the decay of isotropic turbulence, Journal of Turbulence 4 (2003) 014.
  9. B.R.Fabijonas and D.D.Holm, Craik-Criminale solutions and elliptic instability in nonlinear-reactive closure models for turbulence, Physics of Fluids 16 (2004) 853-866.
  10. B.R.Fabijonas and D.D.Holm, Multi-frequency Craik-Criminale solutions of the Navier-Stokes equation, Journal of Fluid Mechanics 506 (2004) 207-215.
  11. B.R.Fabijonas and D.D.Holm, Euler-Poincare formulation and elliptic instability for n-th gradient fluids, Journal of Physics A 37 (2004) 7609-7623.
  12. B.R.Fabijonas and D.D.Holm, Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations, Physics of Fluids 17 (2005) 054113.
Special Functions (Appeared)
  1. B.R.Fabijonas and F.W.J.Olver, On the reversion of an asymptotic expansion and the zeros of the Airy functions, SIAM Review 41 (1999) 762-773.
  2. B.R.Fabijonas, Laplace's Method on a computer algebra system with an application to the real valued modified Bessel functions, Journal of Computational and Applied Mathematics 146(2) (2002) 323-342.
  3. B.R.Fabijonas, D.W.Lozier, and J.M.Rappoport, Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons, Journal of Computational and Applied Mathematics 161(1) (2003) 179-192.
  4. B.R.Fabijonas, D.W.Lozier, and F.W.J.Olver, Computation of complex Airy functions and their zeros using asymptotics and the differential equation, ACM Transactions on Mathematical Software 30 (2004) 471-490.
  5. B.R.Fabijonas, Algorithm 838: Airy functions, ACM Transactions on Mathematical Software 30 (2004) 491-501.
Other topics
  • J.J.Westman, B.R.Fabijonas, D.L.Kern, and F.B.Hanson, Cancer treatment using multiple chemotherapeutic agents subject to drug resistance, Proceedings of the Fifteenth International Symposium of Mathematical Theory of Networks and Systems, (2002) 27126.
  • J.J.Westman, B.R.Fabijonas, D.L.Kern, and F.B.Hanson, Probabilistic rate compartment cancer model: alternate vs. traditional chemotherapy scheduling, In: Proceedings of a Stochastic Theory and Control Workshop, University of Kansas, B. Pasik-Duncan, ed., Springer-Verlag, New York, (2002) 491-505.
Submitted
  • None.
Under revision
  • None.


Courses taught
  • Multivariate Calculus, UIC, Summer 1994.
  • Calculus 1, SMU, Fall 1999, 2000, 2002; Spring 2004, 2005.
  • Calculus 2, SMU, Spring 2000, 2002; Fall 2001, 2003.
  • Calculus 3, SMU, Fall 2004.
  • Differential Equations, SMU, Spring 2006.
  • Vector Calculus and Introduction to PDEs, SMU, Fall 2000, 2004; Spring 2001.
  • Introduction to Linear Algebra, SMU, Fall 2002; Spring 2005.
  • Introduction to Asymptotic and Special Functions, SMU, Spring 2001.
  • Introdution to Partial Differential Equations, SMU, Fall 2001, 2003.
  • Advanced Partial Differential Equations, SMU, Spring 2004.
  • Advanced Complex Analysis, SMU, Spring 2002.


Invited Presentations
  • Department colloquium, Southern Methodist University, October 2004. Elliptic instability in a class of turbulence models
  • Geometical Mechanics and Turbulence Modeling Workshop, LANL, December 2003. Elliptic instability in nonlinear-reactive closure models for turbulence
  • Department colloquium, University of Houston-Downtown, November 2003. An algorithm for the computation of special functions
  • Subgrid Scale Turbulence Methods for Geodynamo Simulations Workshop, UCLA, July 2003. A new look at Magnetic-Archimedan-Coriolis (MAC) wave: elliptic instability
  • Geometical Mechanics and Turbulence Modeling Workshop, LANL, November 2002. Craik-Criminale solutions and elliptic instability in the Lagrangian-Averaged Navier-Stokes-alpha model
  • Mathematical and Computational Sciences Division Colloquium, NIST, June 2002. The Craik-Criminale class of solutions
  • University of Dallas, October 2001. Probabilistic compartment model for cancer evolution: chemotherapy and drug resistance
  • Program in Computing, UCLA, January 2000. The computation of special functions

Contributed Presentations
  • 2006 Spring Central Sectional Meeting of the AMS, April 2006, A classs of probability distribution functions relevant to turbulence
  • 2005 APS/DFD Fluid Dynamics Meeting, November 2005, Elliptic instability in the alpha-model family of turbulence models in MHD
  • 2004 APS/DFD Fluid Dynamics Meeting, November 2004, Elliptic instability in nonlinear-reactive closure models for turbulence
  • 2004 SIAM Annual Meeting, July 2004, Elliptic instability in the MHD equations and their relationship to MAC waves.
  • ICIAM 03, July 2003 Mean effects of turbulence on elliptic instability.
  • 2003 SIAM Annual Meeting, June 2003, Computation of special functions by ODE integration.
  • 2003 SIAM Dynamical Systems Meeting, May 2003, Multifrequency Craik-Criminale solutions of the Navier-Stokes equations.
  • 2001 SIAM Annual Meeting, July 2001, Drug resistant model for cancer chemotherapy with one cycle specific drug.
  • San Diego Symposium on Asymptotics, January 2000, The complex valued Scorer functions.
  • ICIAM 99, July 1999, The computation of special functions in parallel.
  • Hong Kong Workshop on Special Functions, June 1999, Open problems in Scorer functions.
  • 1999 SIAM Annual Meeting, May 1999, Some thoughts on the computation of modified Bessel functions of pure imaginary order and real argument.
  • Sixth Annual Sigma Xi Postdoctoral Poster Presentation, NIST, February 1999, Using computer algebra systems in asymptotic analysis.
  • 1998 SIAM Annual Meeting, July 1998, The computation of Scorer functions.
  • East Coast Computer Algebra Day, US Naval Academy, April 1998, Real and complex zeros of the Airy functions.
  • Fifth Annual Sigma Xi Postdoctoral Poster Presentation, NIST, February 1998, The computation of special functions: The Airy function.
  • Mathematical and Computational Sciences Division Colloquium, NIST, November 1997, Secondary instabilities of linear flows with elliptic streamlines.
  • Center for Nonlinear Studies, Los Alamos National Laboratory, June 1996, A new class of rotating instabilities.
  • UIC Applied Math Graduate Student Seminar, October 1995, Necessary and sufficient conditions for laser propogation.
  • UIC Applied Math and Computational Science Seminar, March 1994, The twisted nematic cell in liquid crystal displays.

Bruce Fabijonas
09/17/07