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Michael S. Siegel
Associate Director, Center for Applied Mathematics & Statistics,Full Professor
Phone: 973-596-5835
Email: misieg@m.njit.edu
Dept: Mathematical Sciences
Room: 515B * Cullimore Hall
Website: http://m.njit.edu/~misieg
Education
PhD, Mathematics, New York University
MS, Mathematics, New York University
BS, Physics and Mathematics, Duke University
Areas of Research
The research of Michael Siegel is focused on the analysis and numerical computation of moving boundary problems that arise in fluid mechanics, materials science, and physiology. His research in fluid dynamics covers singularity formation on interfaces for inviscid and low Reynolds number (Stokes) flow, the dynamics of drops and bubbles (including the influence of surfactant), and effect of small regularization--such as surface tension--on mathematically ill-posed interfacial flow problems. His studies in materials science primarily involve crystal growth and diffusion controlled moving boundary problems. In physiology, he has studied optimal suturing patterns for skin wounds and formulated models for determining the stress and strain distribution in the heart wall that occur due to changes in heart geometry.
Selected Publications
"Global existence, singular solutions, and ill-posedness for the Muskat problem," (with R. E. Caflisch and S. D. Howison), Comm. Pure Appl. Math. (57) 10 pp. 1374-1411, 2004 (Copyright @ 2004, Wiley).
"Evolution of material voids for highly anisotropic surface energy," (with M. Miksis and P. Voorhees), J. Mech. Phys. Solids (52) 6, pp. 1319-1353, 2004.
"Persistence of memory in drop breakup: The breakdown of universality," (with P. Doshi, I. Cohen, W. W. Zhang, P. Howell, O. A. Basaran, S. Nagel), Science (302), pp. 1185-1188, 2003.
"Cusp Formation for time-evolving bubbles in two-dimensional Stokes flow," J. Fluid Mech. (412), pp. 227-257, 2000.
"Surfactant Effects in Steady, Bursting and Cusping Bubbles in Two-Dimensional Stokes Flow," SIAM J. Appl. Math. (59), pp. 1998-2027, 1999.
"Optimal Patterns for Suturing Wounds," (with H. Chaudhry, B. Bukiet, T. Findley, A. Ritter, N. Guzelszu), J. Biomech. (31), p. 101, 1998.
"Singular Effects of Surface Tension in Evolving Hele-Shaw Solutions," (with S. Tanveer and W. Dai), J. Fluid Mech. (323), p.201, 1996.
"Singular Perturbation of Smoothly Evolving Hele-Shaw Solutions," (with S. Tanveer), Phys. Rev. Lett. (76), p.419, 1996.