Bruce Fabijonas' Publication List
- Journal Publications:
- Fluid Mechanics
- A. Lifschitz and B. Fabijonas,
A new class of rotating instabilities,
Phys. Fluids 8 (1996) 2239-2241.
- Journal link
- B. Fabijonas, D. D. Holm, and A. Lifschitz,
Secondary instabilities in flows with elliptic streamlines,
Phys. Rev. Lett. 78 (1997) 1900-1903.
- Journal link
- B. Fabijonas and A. Lifschitz,
Asymptotic analysis of secondary instabilities in rotating flows,
ZAMM 78 (1998) 597-607.
- Journal link
- A. Lifschitz, T. Miyazaki, and B. Fabijonas,
A new class of instabilities of rotating flows,
Euro. J. Mech. B 17 (1998) 605-613.
- Journal link
- M. V. Melander and B. R. Fabijonas,
Self similar enstrophy divergence in a shell model of isotropic
turbulence,
J. Fluid Mech. 463 (2002) 241-258.
- Journal link
- B. R. Fabijonas,
Secondary instabilities of rotating flows in the presence of a magnetic
field: the case of circular streamlines,
Phys. Plasmas 9 (2002) 3359-3363.
- Journal link
- B.R.Fabijonas and D.D.Holm,
Mean effects of turbulence on elliptic instability in fluids,
Phys. Rev. Lett. 90 (2003) 124501.
- Preliminary version:
XXX archive: nlin.cd.0208027
- Journal link
- M.V.Melander and B.R.Fabijonas
Transients in the decay of
isotropic turbulence,
J. Turb. 4 (2003) 014.
- Journal link
- B.R.Fabijonas and D.D.Holm,
Craik-Criminale solutions and elliptic instability
in nonlinear-reactive closure models for turbulence,
Phys. Fluids 16 (2004) 853-866.
- Journal link
- B.R.Fabijonas and D.D.Holm,
Multi-frequency Craik-Criminale solutions of the Navier-Stokes
equation,
J. Fluid Mech. 506 (2004) 207-215.
- Preliminary version:
XXX archive: nlin.cd.0304049
- B.R.Fabijonas and D.D.Holm,
Euler-Poincare formulation and elliptic instability for
n-th gradient fluids,
J. Phys. A 37 (2004) 7609-7623.
- Preliminary version:
XXX archive: nlin.cd.0405051
- Journal link
- B.R.Fabijonas and D.D.Holm,
Elliptic instability in the Lagrangian-averaged Euler-Boussinesq-alpha equations,
Phys. Fluids 17 (2005) 054113.
- Preliminary version:
XXX archive: nlin.cd.0410006
- Journal link
- M.V.Melander and B.R.Fabijonas
A theory of inertial range similarity in isotropic turbulence,
SMU Tech Report 2005-05.
- XXX archive: physics.0603185
- M.V.Melander and B.R.Fabijonas
Intermittency via self-similarity--an analytic example,
Phys. Fluids (submitted 4/06).
- Preliminary version:
XXX archive: physics.0512198
- Special Functions
- B. R. Fabijonas and F. W. J. Olver,
On the reversion of an asymptotic expansion and the zeros of
the Airy functions,
SIAM Rev. 41 (1999) 762-773.
- Journal link
- B. R. Fabijonas,
Laplace's Method on a computer algebra system with an application
to the real valued modified Bessel functions,
J. Comput. Appl. Math 146(2) (2002) 323-342.
- Preliminary version:
SMU Technical Report 2001-06.
- Journal link
- B.R.Fabijonas, D.W.Lozier, and J.M.Rappoport,
Algorithms and Codes for the Macdonald Function:
Recent Progress and Comparisons,
J. Comput. Appl. Math 161(1) (2003) 179-192.
- Preliminary version: NISTIR 6596
- Journal link
- 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 Trans. Math. Softw. 30 (2004) 471-490.
- Journal link
- B. R. Fabijonas
Algorithm 838: Airy functions,
ACM Trans. Math. Softw. 30 (2004) 491-501.
- Journal link
- Cancer modeling
- 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 Stochastic Theory and Control Workshop, University of Kansas,
B. Pasik-Duncan, ed., Springer-Verlag, New York, pp. 491-505, 2002.
- J. J. Westman, B. R. Fabijonas, D. L. Kern, and F. B. Hanson,
Cancer treatment using multiple chemotherapeutic agents subject to drug
resistance,
In: Proceedings of the Fifteenth International Symposium of Mathematical
Theory of Networks and Systems (2002) 27126 (online as
extended abstract).
- In-House Publications:
- O. Costin, B. Fabijonas, L. Heath, B. E. Skahill, R. Tyson, and C.Gartland,
The twisted nematic cell in liquid crystal displays,
The Claremont Colleges Mathematics Workshop for Graduate Students:
Reports of the Six Projects, 1993.
- E1 Lecture Center Demonstration Manual,
UIC Physics Department, 1992.
- Description:
This was a UIC Honors College project that I did as an undergraduate. I
revised a catalogue of all the apparatus in the back room of the
physics lecture hall that
were used for demonstrations during various lectures.
Revised 04/25/06