Michael Siegel
About Me
Michael Siegel joined the NJIT faculty as an Assistant Professor of Mathematics in 1995, advanced to the rank of Associate Professor in 1998, and on to Professor of Mathematics in 2005. He was also Associate Director and Director of NJIT’s Center for Applied Mathematics and Statistics (CAMS) for 13 years. He is currently the Associate Director for Graduate Studies in the Department of Mathematical Sciences. He is also the university Faculty Athletics Representative (FAR).
Siegel earned his BS in Physics and in Mathematics from Duke University in 1984, and later earned PhD in Mathematics (1989) from New York University’s Courant Institute of Mathematical Sciences. He was also a graduate student in the PhD Program in Physics at Massachusetts Institute of Technology in 1986-87.
In addition to his posts at NJIT, he has been a visiting researcher at the Courant Institute of Mathematical Sciences at NYU and at Oxford University. He had an appointment as Wallenberg Guest Professor at KTH, Stockholm in 2015-2016. Prior to NJIT, he held a National Science Foundation (NSF) Postdoctoral Fellowship and was a Postdoctoral Research Fellow at Ohio State University. He also served as van Karman Instructor in Applied Mathematics at the California Institute of Technology from 1989 to 1991.
Siegel served on the editorial board of the SIAM Journal of Applied Math for nine years. He currently is an Associate Editor for the Journal of Engineering Mathematics.
Siegel has worked with multiple grants, including being a PI or Co-PI on over 20 grants from the NSF since 1996. His research is focused on the analysis and numerical computation of moving boundary problems that arise in fluid mechanics, materials science, and biology. He is the recipient of the NJIT CSLA Excellence in Research Award.
Siegel earned his BS in Physics and in Mathematics from Duke University in 1984, and later earned PhD in Mathematics (1989) from New York University’s Courant Institute of Mathematical Sciences. He was also a graduate student in the PhD Program in Physics at Massachusetts Institute of Technology in 1986-87.
In addition to his posts at NJIT, he has been a visiting researcher at the Courant Institute of Mathematical Sciences at NYU and at Oxford University. He had an appointment as Wallenberg Guest Professor at KTH, Stockholm in 2015-2016. Prior to NJIT, he held a National Science Foundation (NSF) Postdoctoral Fellowship and was a Postdoctoral Research Fellow at Ohio State University. He also served as van Karman Instructor in Applied Mathematics at the California Institute of Technology from 1989 to 1991.
Siegel served on the editorial board of the SIAM Journal of Applied Math for nine years. He currently is an Associate Editor for the Journal of Engineering Mathematics.
Siegel has worked with multiple grants, including being a PI or Co-PI on over 20 grants from the NSF since 1996. His research is focused on the analysis and numerical computation of moving boundary problems that arise in fluid mechanics, materials science, and biology. He is the recipient of the NJIT CSLA Excellence in Research Award.
Education
Ph.D.; New York University; ; 1989
B.S.; Duke University; ; 1984
B.S.; Duke University; ; 1984
2024 Fall Courses
MATH 391 - NUMERICAL LINEAR ALGEBRA
MATH 790A - DOCT DISSERTATION & RES
MATH 790A - DOCT DISSERTATION & RES
Past Courses
MATH 332: INTRO COMPLEX VARIABLES
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 451: METHODS APPL MATH II
MATH 453: HIGH-PERF NUMERICAL COMPUTING
MATH 453: HIGH-PERFORMANCE NUMERICAL COMPUTING
MATH 611: NUMER METH FOR COMPUTATN
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 645: ANALYSIS
MATH 689: ADV APPLIED MATH II
MATH 690: ADV APPLIED MATH III
MATH 712: NUMERICAL METHODS II
MATH 713: ADVANCED SCIENTIFIC COMPUTING
MATH 715: MATHEMATICAL FLUID DYNAMICS I
MATH 716: MATHEMATICAL FLUID DYNAMICS II
MATH 745: MATHMATICAL ANALYSIS II
MATH 767: FAST NUMERICAL ALGORITHMS
MATH 791: GRADUATE SEMINAR
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 451: METHODS APPL MATH II
MATH 453: HIGH-PERF NUMERICAL COMPUTING
MATH 453: HIGH-PERFORMANCE NUMERICAL COMPUTING
MATH 611: NUMER METH FOR COMPUTATN
MATH 613: ADVANCED APPLIED MATHEMATICS I: MODELING
MATH 645: ANALYSIS
MATH 689: ADV APPLIED MATH II
MATH 690: ADV APPLIED MATH III
MATH 712: NUMERICAL METHODS II
MATH 713: ADVANCED SCIENTIFIC COMPUTING
MATH 715: MATHEMATICAL FLUID DYNAMICS I
MATH 716: MATHEMATICAL FLUID DYNAMICS II
MATH 745: MATHMATICAL ANALYSIS II
MATH 767: FAST NUMERICAL ALGORITHMS
MATH 791: GRADUATE SEMINAR
Research Interests
- Applied mathematics, analysis, and scientific computation for nonlinear PDE's and integro-differential equations, especially as a model for free and moving boundary problems in fluid dynamics.
- Moving boundary problems in materials science and biology
- Well-posedness theory and singularity formation
- Numerical analysis
- Moving boundary problems in materials science and biology
- Well-posedness theory and singularity formation
- Numerical analysis
In Progress
Analysis and computations of moving boundary problems
Michael Siegel's research is primarily on the mathematical analysis and numerical computation of moving boundary problems in fluid dynamics, materials science, and biology. He is developing new boundary integral algorithms for the fast and accurate numerical computation of moving boundaries. This includes multiscale methods for the computation of interfacial flow with surfactant, and electrokinetic flow. He has also developed well-posedness theory for moving boundary problems, and investigated singularity formation.
Michael Siegel's research is primarily on the mathematical analysis and numerical computation of moving boundary problems in fluid dynamics, materials science, and biology. He is developing new boundary integral algorithms for the fast and accurate numerical computation of moving boundaries. This includes multiscale methods for the computation of interfacial flow with surfactant, and electrokinetic flow. He has also developed well-posedness theory for moving boundary problems, and investigated singularity formation.
Journal Article
Ambrose, David M., & Lushnikov, Pavel M., & Siegel, Michael S., & Silantyev, Denis A. (2024). Global existence and singularity formation for the generalized Constantin-Lax-Mjjda equation with dissipation: The real line vs. periodic domains. Nonlinearity, 37(2), 025004.
Yariv, Ehud, & Vrandao, Roldolpho, & Siegel, Michael S., & Stone, Howard (2023). Motion of a disk embedded in a nearly-inviscid Langmuir film. Part 1. Translation. Journal of Fluid Mechanics, 977, A30.
Ambrose, David M., & Siegel, Michael S., & Zhang, Keyang (2023). Convergence of the boundary integral method for interfacial Stokes flow. Mathematics of Computation, 92, 695-748.
Siegel, Michael S., & Yariv, Ehud (2023). Jeffery’s paradox for the rotation of a single ‘stick–slip’ cylinde. Mechanics Research Communications, 131, 104154.
Ma, Manman, & Booty, Michael R., & Siegel, Michael S. (2022). A model for the electric field-driven flow and deformation of a drop or vesicle in strong electrolyte solutions. Journal of Fluid Mechanics, Cambridge University Press, 943, A47, 44.
Yariv, Ehud, & Vrandao, Roldolpho, & Siegel, Michael S., & Stone, Howard (2023). Motion of a disk embedded in a nearly-inviscid Langmuir film. Part 1. Translation. Journal of Fluid Mechanics, 977, A30.
Ambrose, David M., & Siegel, Michael S., & Zhang, Keyang (2023). Convergence of the boundary integral method for interfacial Stokes flow. Mathematics of Computation, 92, 695-748.
Siegel, Michael S., & Yariv, Ehud (2023). Jeffery’s paradox for the rotation of a single ‘stick–slip’ cylinde. Mechanics Research Communications, 131, 104154.
Ma, Manman, & Booty, Michael R., & Siegel, Michael S. (2022). A model for the electric field-driven flow and deformation of a drop or vesicle in strong electrolyte solutions. Journal of Fluid Mechanics, Cambridge University Press, 943, A47, 44.
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Conference Abstract
On the stability of interacting flapping plates
American Physical Society, November 2023
Vortex sheet simulations of interacting flapping plates
American Physical Society,
American Physical Society, November 2023
Vortex sheet simulations of interacting flapping plates
American Physical Society,
Technical Report
Global existence and singularity formation for the generalized Constantin-Lax-Majda equation with dissipation: The real line vs. periodic domains
arXiv preprint arXiv:2207.07548, July (3rd Quarter/Summer) 2022
Convergence of the boundary integral method for interfacial Stokes flow
Arrive preprint arXiv:2105.07056, May 2021
arXiv preprint arXiv:2207.07548, July (3rd Quarter/Summer) 2022
Convergence of the boundary integral method for interfacial Stokes flow
Arrive preprint arXiv:2105.07056, May 2021
Chapter
Booty, Michael R., & Siegel, Michael S., & Anna, Shelley L (2015). A hybrid numerical method for interfacial flow with soluble surfactant and its application to an experiment in microfluidic tipstreaming, M.T. Rahni, M. Karbaschi, and R. Miller (Eds.), CRC Press. Boca Raton, Florida: CRC Press