Papers Written or Co-authored by Barbara Lee Keyfitz


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Journal Publications

  1. 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), 444-476. (click here for PDF file)

  2. B. L. Keyfitz and H. C. Kranzer, A System of Non-Strictly Hyperbolic Conservation Laws Arising in Elasticity Theory, Archive for Rational Mechanics and Analysis, 72, (1980), 219-241. (Click here for PDF file)

  3. B. L. Keyfitz, Bounds for viscosity profiles for 2 X 2 systems of conservation laws, Rocky Mountain Mathematics Journal, 12, (1982), 225-231. (Click here for PDF file)

  4. M. Golubitsky and B. L. Keyfitz, A qualitative study of the steady-state solutions for a continuous flow stirred tank chemical reactor, SIAM Journal on Mathematical Analysis,11, (1980), 316-339. (Click here for PDF file)

  5. 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), 351-393. (Click here for PDF file)

  6. B. L. Keyfitz and H. C. Kranzer, Spaces of weighted measures for conservation laws with singular shock solutions, Journal of Differential Equations, 118, (1995), 420-451. (Click here for g-zipped postscript file)

  7. B. L. Keyfitz, A geometric theory of conservation laws which change type, Zeitschrift fur Angewandte Mathematik und Mechanik, 75, (1995), 571-581. (Click here for g-zipped postscript file)

  8. S. Canic and B. L. Keyfitz, An Elliptic Problem Arising from the Unsteady Transonic Small Disturbance Equation, Journal of Differential Equations, 125, (1996), 548-574. (Click here for g-zipped postscript file)

  9. S. Canic and B. L. Keyfitz, A Smooth Solution for a Keldysh Type Equation, Communications in Partial Differential Equations, 21, (1996), 319-340. (Click here for g-zipped postscript file)

  10. 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), 1-9. (Click here for g-zipped postscript file)

  11. S. Canic and B. L. Keyfitz, Riemann Problems for the Two-Dimensional Unsteady Transonic Small Disturbance Equation, SIAM Journal on Applied Mathematics, 58, (1998), 636-665. (Click here for g-zipped postscript file)

  12. S. Canic and B. L. Keyfitz, Quasi-One-Dimensional Riemann Problems and Their Role in Self-Similar Two-Dimensional Problems, Archive for Rational Mechanics and Analysis, 144, (1998), 233-258. (Click here for g-zipped postscript file)

  13. 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), 484-511. (Click here for g-zipped postscript file)

  14. 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), 313-336. (Click here for PDF file)

  15. 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), 71-92. (Click here for PDF file)

  16. S. Canic, B. L. Keyfitz, and E. H. Kim, Mixed Hyperbolic-Elliptic Systems in Self-Similar Flows, Boletim da Sociedade Brasileira de Matematica, 32 (2002), 1-23. (Click here for PDF file)

  17. B. L. Keyfitz, R. Sanders and M. Sever, Lack of Hyperbolicity in the Two-Fluid Model for Two-Phase Incompressible Flow, Discrete and Continuous Dynamical Systems - B, 3 (2003) 541-563. (Click here for PDF file)

  18. B. L. Keyfitz, M. Sever and Fu Zhang, Viscous Singular Shock Structure for a Nonhyperbolic Two-Fluid Model, Nonlinearity, 17 (2004) 1731-1747. (Click here for PDF file)

  19. B. L. Keyfitz, Self-Similar Solutions of Two-Dimensional Conservation Laws, Journal of Hyperbolic Differential Equations, 1 (2004) 445-492. (Click here for PDF file)

  20. 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) 1947-1977. (Click here for PDF file)

  21. K. Jegdic, B. L. Keyfitz, and S. Canic, Transonic regular reflection for the nonlinear wave system, Journal of Hyperbolic Differential Equations, 3 (2006) 443-474. (Click here for PDF file)

  22. 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) 321-336. (Click here for PDF file)

  23. A. M. Tesdall, R. Sanders, and B. L. Keyfitz, Self-Similar Solutions for the Triple Point Paradox in Gasdynamics, SIAM Journal on Applied Mathematics, 68 (2008) 1360-1377. (Click here for PDF file)

  24. A. M. Tesdall and B. L. Keyfitz, A Continuous, Two-Way Free Boundary in the Unsteady Transonic Small Disturbance Equations, Journal of Hyperbolic Differential Equations (2010) to appear. (Click here for PDF file)

Conference Proceedings

  1. 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, 185-197. (Click here for PDF file)

  2. 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, 103-116. (Click here for PDF file)

  3. 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, 178-187. (Click here for g-zipped postscript file)

  4. 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, 435-440. (Click here for g-zipped postscript file)

  5. S. Canic and B. L. Keyfitz, A Useful Class of Two-Dimensional 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, 133-136. (Click here for g-zipped postscript file)

  6. 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, 99-111. (Click here for g-zipped postscript file)

  7. 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, 125-137. (Click here for g-zipped postscript file)

  8. 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 g-zipped postscript file)

  9. 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, 217-226. (Click here for g-zipped postscript file)

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

  11. 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

Reports

Course Notes

For copies send a request to bkeyfitz@math.ohio-state.edu

Nontechnical Writing

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