Department of Mathematics

Professor of Mathematics Office: 515b Cullimore      Phone: (973) 596-5835      Fax: (973) 596-6467      E-Mail: misieg@oak.njit.edu Department of Mathematics, NJIT, University Heights, Newark, NJ, 07102-1982

FACM 2010 Panel

Part 1

Part 2

Part 3

Part 4

Spring 2008 Course

• Math 656: Complex Variables I syllabus
• Solutions, sample midterm exam

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Office Hours, Spring 2008

Tues. 11:00-12:00
Thurs. 11:00-12:00
Fri. 3:00-4:00

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Research Interests 

• Moving boundary problems in fluid mechanics, materials science, and physiology; scientific computation.

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Selected Publications: 

•   Singular Perturbation of Smoothly Evolving Hele-Shaw Solutions, (with S. Tanveer), Phys. Rev. Lett. (76),   p.419, 1996. 
•   Singular Effects of Surface Tension in Evolving Hele-Shaw Solutions," (with S. Tanveer and W. Dai), J. Fluid Mech. (323),  p.201, 1996. 
•   Optimal Patterns for Suturing Wounds," (with H. Chaudhry, B. Bukiet, T. Findley, A. Ritter, N. Guzelszu), J. Biomech. (31),  p. 101, 1998.
• Surfactant Effects in Steady, Bursting and Cusping Bubbles in Two-Dimensional Stokes Flow , SIAM J. Appl. Math. (59), pp. 1998-2027,  1999.
• Cusp Formation for time-evolving bubbles in two-dimensional Stokes flow , J. Fluid Mech. (412), pp. 227-257, 2000.
• 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.
• 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.
• 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).

More publications can be found in my Google Scholar page:

• Michael Siegel Google Scholar

Honors and Awards

•   NSF Postdoctoral Fellowship, 1992-95. 
•   NSF Grant, Surfactant Effects on Viscous Fingering,  1997-2001. 
•   NSF Grant, Analysis and Numerical Computations of  Moving Boundaries in Materials Science and Fluid Dynamics, 2001-2005.
•   NSF Grant, Focused Research Group: Singularity Formation for the Three-Dimensional Euler Equations and Related Problems (with R. Caflisch, T. Hou and D. Pullin), 2004-2007.
•  NSF Grant, Major Research Instrumentation: Acquisition of a Computer Cluster  for the Center of Applied Mathematics and Statistics at NJIT (with D. Ahluwalia and M. Ma), 2004-2007.
• NSF Grant, Equipment and Modules for a Capstone Course in Applied Mathematics (with M. Booty, B. Bukiet, L. Kondic, D. Goldman)