Papers Written or Coauthored by Barbara Lee Keyfitz
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Journal Publications
 B. L. Keyfitz and H. C. Kranzer,
Existence and Uniqueness of Entropy Solutions
to the Riemann Problem
for Hyperbolic Systems of Two Nonlinear Conservation Laws,
Journal of Differential Equations, 27, (1978), 444476.
(click here for PDF file)

B. L. Keyfitz and H. C. Kranzer,
A System of NonStrictly Hyperbolic Conservation
Laws Arising in Elasticity Theory,
Archive for Rational Mechanics and Analysis, 72, (1980),
219241.
(Click here for PDF file)

B. L. Keyfitz,
Bounds for viscosity profiles for 2 X 2 systems of
conservation laws,
Rocky Mountain Mathematics Journal, 12, (1982), 225231.
(Click here for PDF file)
 M. Golubitsky and B. L. Keyfitz,
A qualitative study of the steadystate solutions for
a continuous flow stirred tank chemical reactor,
SIAM Journal on Mathematical Analysis,11, (1980), 316339.
(Click here for PDF file)

B. L. Keyfitz and M. C. Lopes Filho, A geometric study of shocks
in equations that change type, Journal of Dynamics and
Differential Equations, 6, (1994), 351393.
(Click here for PDF file)

B. L. Keyfitz and H. C. Kranzer, Spaces of weighted measures for
conservation laws with singular shock solutions, Journal of
Differential Equations, 118, (1995), 420451.
(Click here for gzipped postscript file)

B. L. Keyfitz, A geometric theory of conservation laws which
change type, Zeitschrift fur Angewandte Mathematik
und Mechanik, 75, (1995), 571581.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz,
An Elliptic Problem Arising from the
Unsteady Transonic Small Disturbance Equation, Journal
of Differential Equations, 125, (1996), 548574.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz,
A Smooth Solution for a Keldysh Type Equation,
Communications in Partial Differential Equations,
21, (1996), 319340.
(Click here for gzipped postscript file)

B. L. Keyfitz and N. Keyfitz, The McKendrick Partial Differential
Equation and its Uses in Epidemiology and Population Study,
Mathematical and Computer Modelling, 26, (1997), 19.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz, Riemann Problems for the
TwoDimensional Unsteady Transonic Small Disturbance Equation,
SIAM Journal on Applied Mathematics, 58, (1998), 636665.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz, QuasiOneDimensional
Riemann Problems and Their Role in SelfSimilar TwoDimensional
Problems, Archive for Rational Mechanics and Analysis, 144,
(1998), 233258.
(Click here for gzipped postscript file)

S. Canic, B. L. Keyfitz and G. M. Lieberman,
A Proof of Existence of Perturbed Steady Transonic
Shocks via a Free Boundary Problem,
Communications on Pure and Applied Mathematics, 53 (2000),
484511.
(Click here for gzipped postscript file)

S. Canic, B. L. Keyfitz, and E. H. Kim,
Free Boundary Problems for the
Unsteady Transonic Small Disturbance Equation: Transonic Regular
Reflection, Methods and Applications of Analysis, . 7 (2000),
313336.
(Click here for PDF file)

S. Canic, B. L. Keyfitz, and E. H. Kim,
A Free Boundary Problem for a Quasilinear Degenerate Elliptic Equation:
Regular Reflection of Weak Shocks, Communications on Pure and
Applied Mathematics, 55 (2002), 7192.
(Click here for PDF file)

S. Canic, B. L. Keyfitz, and E. H. Kim,
Mixed HyperbolicElliptic Systems in SelfSimilar Flows,
Boletim da Sociedade Brasileira de Matematica, 32 (2002), 123.
(Click here for PDF file)

B. L. Keyfitz, R. Sanders and M. Sever,
Lack of Hyperbolicity in the TwoFluid Model for TwoPhase
Incompressible Flow,
Discrete and Continuous Dynamical Systems  B, 3 (2003) 541563.
(Click here for PDF file)

B. L. Keyfitz, M. Sever and Fu Zhang,
Viscous Singular Shock Structure for a Nonhyperbolic TwoFluid
Model, Nonlinearity, 17 (2004) 17311747.
(Click here for PDF file)

B. L. Keyfitz,
SelfSimilar Solutions of TwoDimensional Conservation Laws,
Journal of Hyperbolic Differential Equations, 1 (2004) 445492.
(Click here for PDF file)
 S. Canic, B. L. Keyfitz, and E. H. Kim, Free Boundary Problems for Nonlinear Wave Systems: Mach Stems for Interacting Shocks,
SIAM Journal on Mathematical Analysis, 37 (2006) 19471977.
(Click here for PDF file)
 K. Jegdic, B. L. Keyfitz, and S. Canic,
Transonic regular reflection for the nonlinear wave system,
Journal of Hyperbolic Differential Equations, 3 (2006) 443474.
(Click here for PDF file)

A. M. Tesdall, R. Sanders, and B. L. Keyfitz,
The Triple Point Paradox for the Nonlinear Wave System,
SIAM Journal on Applied Mathematics, 67 (2006) 321336.
(Click here for PDF file)

A. M. Tesdall, R. Sanders, and B. L. Keyfitz,
SelfSimilar Solutions for the Triple Point Paradox in Gasdynamics,
SIAM Journal on Applied Mathematics, 68 (2008) 13601377.
(Click here for PDF file)
 A. M. Tesdall and B. L. Keyfitz,
A Continuous, TwoWay Free Boundary in the Unsteady
Transonic Small Disturbance Equations,
Journal of Hyperbolic Differential Equations (2010) to appear.
(Click here for PDF file)
Conference Proceedings

B. L. Keyfitz and H. C. Kranzer,
A Viscosity Approximation to a System of Conservation Laws
with No Classical Riemann Solution,
in Nonlinear Hyperbolic Problems (C. Carasso,
ed), Springer, LNM 1402, 1989, 185197.
(Click here for PDF file)

B. L. Keyfitz, Multiphase saturation equations, change of type
and inaccessible regions, Proceedings of the 1992 Oberwolfach
Conference on Porous Media (J. Douglas and U. Hornung, editors),
Birkh\"auser, International Series of Numerical Mathematics,
114, 103116.
(Click here for PDF file)

S. Canic, B. L. Keyfitz and David H. Wagner, A Bifurcation
Diagram for Oblique Shock Interactions in the Unsteady Transonic Small
Disturbance Equation, Proceedings of the Fifth International
Conference on Hyperbolic Problems, Theory, Numerics and Applications,
(J. Glimm, M. J. Graham, J. W. Grove and B. J. Plohr, editors),
World Scientific, Singapore, 1996, 178187.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz, Oblique Shock Interactions
and the von Neumann Paradox, Proceedings of
20th International Conference on Shock Waves, Volume I
(B. Sturtevant, J. E. Schepherd and H. G. Hornung, editors)
World Scientific, Singapore, 1996, 435440.
(Click here for gzipped postscript file)

S. Canic and B. L. Keyfitz, A Useful Class of TwoDimensional
Conservation Laws, Proceedings
of ICIAM 95: Supplement 2: Applied Analysis,
Mathematical Research, Vol. 87, (K. Kirchgassner,
O. Mahrenholtz and R. Mennicken, editors)
Akademie Verlag, Berlin, ZAMM, 1996, 133136.
(Click here for gzipped postscript file)

B. L. Keyfitz, Conservation Laws, Delta Shocks and Singular Shocks,
Nonlinear Theory of Generalized Functions,
(M. Grosser, G. Hormann, M. Kunzinger, and M. Oberguggenberger,
editors), Chapman & Hall/CRC press, Boca Raton, 1999, 99111.
(Click here for gzipped postscript file)

B. L. Keyfitz and C. A. Mora, Prototypes for Nonstrict Hyperbolicity
in Conservation Laws, Nonlinear PDEs, Dynamics and Continuum
Physics, (Jerry Bona, Katarzyna Saxton and Ralph Saxton, editors.),
American Mathematical Society, Providence, 125137.
(Click here for gzipped postscript file)

B. L. Keyfitz, Hold that Light! Modeling of Traffic Flow by
Differential Equations, Proceedings of Rice University
Undergraduate Conference, (R. Hardt and R. Forman, editors).
(Click here for gzipped postscript file)

S. Canic, B. L. Keyfitz, and E. H. Kim,
Weak Shock Reflection Modeled by the Unsteady Transonic
Small Disturbance Equation, Proceedings of the Eighth International
Conference on Hyperbolic Problems, Theory, Numerics and Applications,
(H. Freistuhler and G. Warnecke, editors), Birkhauser, Basil, 2002, 217226.
(Click here for gzipped postscript file)

S. Canic, B. L. Keyfitz, and E. H. Kim,
SelfSimilar Problems in Multidimensional Conservation Laws,
Proceedings of ICSEC Conference on Recent Advances in
Computational Science and Engineering, Singapore, December, 2002.
(Click here for PDF file)

K. Jegdic, B. L. Keyfitz, and S. Canic,
Transonic Regular Reflection for the Unsteady Transonic Small Disturbance Equation
 details of the subsonic solution,
Free and Moving Boundaries: Analysis, Simulation and Control,
(Roland Glowinski and Jean Paul Zolesio, editors),
CRC Press, Boca Raton, 2006, to appear.
(Click here for PDF file)
Presentations
 Poster, Nonlinear Dynamics and Pattern Formation Conference in honor
of Harry Swinney, Austin, Texas, June 46, 2000;
TwoDimensional Shock Reflection Problems.
(Click here for gzipped postscript file)
 Talk at Newton Institute, April 1, 2003.
(PDF file)
 Plenary Address, British Applied Mathematics Colloquium, April 8, 2003.
(PDF file)
 Minisymposium talk, ICIAM, Sydney, July 10, 2003.
(PDF file)
 Courant Lecture in Honor of Cathleen Morawetz, NYU, November 20, 2003.
(PDF file)
 Talk at Fields Institute conference in honour of Bill Langford,
December, 2003. (PDF file)
 Colloquium, McMaster University, January 28, 2005. (PDF file)
 KriegerNelson Award Lecture, Canadian Mathematical Society
Summer Meeting, June 4, 2005.
(PDF file)
 Presidential invited address at the 2005 Statistical Society of
Canada meeting,
June 13, 2005.
(PDF file)
 Invited Lecture, ICIAM 07, Zurich, July 17, 2007.
(PDF file)
 Lecture, International Conference On NEW DIRECTIONS IN THE MATHEMATICAL
& COMPUTER SCIENCES, Abuja, Nigeria, October, 2007.
(PDF file)
Reports
Course Notes
For copies send a request to
bkeyfitz@math.ohiostate.edu
Nontechnical Writing

Women Mathematicians in the Academic Ranks: A Call to Action.
Report of the BIRS Workshop on Women in Mathematics
(PDF file)
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Keyfitz Home Page.