Publications of Yuriko Renardy 1990-1996

• 30. M. Renardy and Y. Renardy, 1991, On the nature of boundary conditions for flows with moving free surfaces, J. Computational Physics. vol. 93, no. 2, 325 - 335.
• 31. D. D. Joseph, J. Nelson, M. Renardy and Y. Renardy, 1991, Two-dimensional cusped interfaces, J. Fluid Mech. 223, 383 - 409.
• 32. M. Renardy and Y. Renardy, 1992, Pattern selection in the Benard problem for a viscoelastic fluid, J. Appl. Math. and Phys. (Zeitschrift fuer Angewandte Mathematik und Physik), vol. 43 (1), 154-180.
• 33. N. Baumann, D. D. Joseph, P. Mohr and Y. Renardy, 1992, Vortex rings of one fluid in another in free fall, Phys. Fluids A, vol. 4, (3), 567-580.
• 34. Y. Renardy, 1993, Pattern selection for the oscillatory onset in thermosolutal convection, Phys. Fluids A (6) 1376-1389.
• 35. M. Renardy and Y. Renardy, 1993, Derivation of amplitude equations and the analysis of sideband instabilities in two-layer flows, Physics of Fluids A 5(11), 2738-2762, and vol. 6, p.3502.
• 36. Y. Renardy, 1994, Sideband instabilities in two-layer flows, Proccedings of 14th World Congress of the International Association for Mathematics and Computers in Simulation (IMACS), July 11-15, Georgia Tech, Atlanta, Volume 2, 898-901.
• 37. Y. Renardy and M. Renardy, 1994, Sideband Instabilities in Two-Fluid Flows, in ``Two-fluid flows with and without phase change'', edited by A. Narain, D. Siginer, and K. M. Kelkar, AMD-Vol. 184, American Society of Mechanical Engineers, 55-60.
• 38. Y. Renardy and Shu-Ming Sun, 1994, The flow of a ferrofluid down an incline, Physics of Fluids 6 (10), 3235 - 3246.
• 39. Y. Renardy, 1995, Weakly nonlinear behavior of periodic disturbances in two-layer plane channel flow of upper-convected Maxwell liquids, J. Non-Newtonian Fluid Mech. 56(2), 101-126.
• 40. Y. Renardy, 1995, Spurt and instability in a two-layer Johnson-Segalman liquid, Theoretical and Computational Fluid Dynamics, 7, 463-475.
• 41. Kaoru Fujimura and Y. Renardy, 1995, The 2:1 steady-Hopf mode interaction in the two-layer Benard problem, Physica D 85, 25-65.
• 42. Y. Renardy, 1995, Planforms at the Onset of Instability in Double Diffusive Convection, Naval Research Reviews (1), 29 - 37.
• 43. Y. Renardy and M. Renardy, 1995, Instabilities in Two-Layer Channel Flows, in Nonlinear Dynamics and Pattern Formation in the Natural Environment, eds. A. Doelman and A. van Harten, Pitman Research Notes in Mathematics, Longman Scientific and Technical Publishing Co. 238-256.
• 44. Y. Renardy, 1995, Patterns at the onset of an oscillatory instability in a Fluorinert/silicone oil Benard problem, Proc. 32nd Annual Technical Meeting of the Society of Engineering Science, New Orleans, eds. D. Hui and S. Michaelides, pp. 469-470.
• 45. Kaoru Fujimura and Y. Renardy, 1996, An interaction of oscillatory and steady modes in a two-layer system heated from below, in Advances in Multi-Fluid Flows, Eds. Y. Renardy, A. V. Coward, D. Papageorgiou, S. M. Sun, (longer version available in ICAM Report 95-09-01), published by the Society for Industrial and Applied Mathematics, Philadelphia, pp.252 - 259.
• 46. M. Renardy, Y. Renardy, R. Sureshkumar, A. Beris, 1996, Hopf-Hopf and steady-Hopf interactions in Taylor-Couette flow of an upper convected Maxwell liquid, J. Non-Newtonian Fluid Mechanics 63, 1-31.
• 47. Y. Renardy, 1996, Pattern formation for oscillatory bulk-mode competition in a two-layer Benard problem, J. Applied Mathematics and Physics (Zeitschr. fuer angew. Math. und Phys.), 47, pp.567-590.
• 48. Y. Renardy, 1996, An instability of plane Couette flow of the Johnson-Segalman liquid, in Advances in Multi-Fluid Flows, Eds. Y. Renardy, A. V. Coward, D. Papageorgiou, S. M. Sun, published the the Society for Industrial and Applied Mathematics, Philadelphia, pp. 199 - 210.
• 49. Y. Renardy and R. W. Schmitt, 1996, Linear stability analysis of salt fingers with surface evaporation or warming, Physics of Fluids vol. 8 (11),pp.2855-2867.
• 50. A. V. Coward and Y. Y. Renardy, 1996, Small amplitude oscillatory forcing as a dynamic stabilization or destabilization mechanism for two-layer flows, Advances in Multi-Fluid Flows, Eds. Y. Renardy, A. V. Coward, D. Papageorgiou, S. M. Sun, published by the Society for Industrial and Applied Mathematics, Philadelphia, pp. 246 - 251.
• 51. Yuriko Yamamuro Renardy, 1996, Topics in double-layer convection, Proceedings of the 21st Sapporo Symposium on Partial Differential Equations, August 1996, Hokkaido University Technical Report Series in Mathematics.
• 52. Yuriko Renardy, M. Renardy, R. Sureshkumar, A. Beris, 1996, Hopf-Hopf and steady-Hopf interactions in Taylor-Couette flow of an upper convected Maxwell liquid, Proceedings of the XIXth International Congress of Theoretical and Applied Mechanics, August 25-31, Kyoto, Japan.

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• Book Reviews:

• 1. Book Review of ``Viscous Flows'', by H. Ockendon and J. R. Ockendon, Cambridge Texts in Applied Mathematics, 1995, for Zeitschrift fuer Angewandte Mathematik und Physik (1996).
• 2. Book Review of ``Fluid Dynamics for Physicists'' by T. E. Faber, Cambridge University Press, 1995, for Zeitschrift fuer Angewandte Mathematik und Physik (1996).
• 3. Book Review of ``Asymptotic Modelling in Fluid Mechanics'', eds. P-A. Bois, E. Deriat, R. Gatignol, A. Rigolot, Lecture Notes in Physics, Springer Verlag, 1995, for ZAMP (1996).

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• Books:

• 1. D. D. Joseph and Y. Renardy, 1993, Fundamentals of Two-Fluid Dynamics. Part 1: Mathematical Theory and Applications, Springer Verlag New York, Interdisciplinary Applied Mathematics Series vol. 3.
• 2. D. D. Joseph and Y. Renardy, 1993, Fundamentals of Two-Fluid Dynamics. Part 2: Lubricated Transport, Drops and Miscible Liquids, Springer Verlag New York, Interdisciplinary Applied Mathematics Series vol. 4.

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  Book Edited:

• 1. Y. Y. Renardy, A. V. Coward, D. Papageorgiou, S. M. Sun, 1996, Advances in Multi-Fluid Flows, Society for Industrial and Applied Mathematics Proceedings in Applied Mathematics 86. ISBN 0-89871-377-3.

Revision Date: 10 Aug 1997