Michael Booty | People

Michael Booty

Professor, Mathematical Sciences

michael.r.booty@njit.edu

524 Cullimore Hall (CULM)

About Me

I study physical applied mathematics with an approach that combines mathematical modeling, analytical solution techniques, and numerical simulation. Motivation from other scientific disciplines and experiment often guide my interests. I teach a wide variety of courses across the graduate and undergraduate curriculum, and have held visiting positions at, for example, the Institute for Mathematics and its Applications, Minneapolis, Northwestern University, ICASE NASA Langley, the University of California at San Diego, UNAM-Mexico, and Imperial College, London. I frequently review for scientific journals and funding agencies, and serve on a range of university and department committees.

Education

Ph.D.; Imperial College; Mathematics; 1983

Part III Mathematics Tripos; Cambridge University; ; 1979

M.A.; Cambridge University; Mathematics; 1978

Website

http://web.njit.edu/~miboot

2024 Fall Courses

MATH 790A - DOCT DISSERTATION & RES

MATH 651 - METHODS OF APPLIED MATH I

MATH 792B - PRE DOCTORAL RESEARCH

Teaching Interests

My teaching interests span a wide range of topics in applied mathematics, including: mathematical modeling; theory and solution techniques for ordinary differential equations, partial differential equations, and integral equations; techniques of complex analysis; and numerical methods. A particular specialty is in approximate solution techniques, such as asymptotic and perturbation methods.

Past Courses

MATH 211: CALCULUS III A

MATH 211: CALCULUS IIIA

MATH 213: CALCULUS IIIB

MATH 222: DIFFERENTIAL EQUATIONS

MATH 331: INTRO PARTIAL DIFF EQ

MATH 337: LINEAR ALGEBRA

MATH 451: HONORS- METHODS APPL MATH II

MATH 473: INTERMED DIFFEREN EQUATN

MATH 473: INTERMEDIATE DIFFERENTIAL EQUATIONS

MATH 480: INTRODUCTORY MATHEMATICAL ANALYSIS

MATH 545: INTRODUCTORY MATHEMATICAL ANALYSIS

MATH 573: INTERMED DIFF EQUATIONS

MATH 651: METHODS OF APPLIED MATHEMATICS

MATH 651: METHODS OF APPLIED MATHEMATICS I

MATH 671: ASYMPTOTIC METHODS I

MATH 689: ADV APPLIED MATH II

MATH 689: ADVANCED APPLIED MATHEMATICS II: ORDINARY DIFFERENTIAL EQUATIONS

MATH 690: ADV APPLIED MATH III

MATH 710: GRADUATE RESEARCH METHOD

Research Interests

I work in various areas of physical applied mathematics, where I apply a wide range of mathematical techniques including: mathematical modeling, exact and approximate analytical solution techniques, asymptotic and singular perturbation methods, methods of numerical analysis, numerical simulation, and stability and bifurcation studies. Most of the applications I have worked on occur in fluid dynamics, including chemically reactive and biological flows, with some applications to elastic materials and electromagnetism. A specific recent interest is the development of hybrid asymptotic-numerical methods to resolve the dynamics and transport between thin diffusive boundary layers and adjacent free and deformable interfaces. These occur in, for example, interface-bulk surfactant exchange processes and in ionic fluids placed in electric fields.

Journal Article

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.

Wrobel, Jacek K. , & Booty, Michael R., & Siegel, Michael S., & Wang, Qiming (2018). Simulation of surfactant-mediated tipstreaming in a flow-focusing geometry. Physical Review Fluids, 3(11), 1-29.

Wang, Qiming, & Siegel, Michael S., & Booty, Michael R. (2014). Numerical simulation of drop and bubble dynamics with soluble surfactant. Physics of Fluids, 26, 052102 (26 pages).

Booty, Michael R., & Papageorgiou, Demetrios T. , & Siegel, Michael S., & Wang, Qiming (2013). Long-wave equations and direct simulations for the breakup of a viscous fluid thread surrounded by an immiscible viscous fluid. IMA Journal of Applied Mathematics,

Xu, Kuan, & Booty, Michael R., & Siegel, Michael S. (2013). Analytical and computational methods for two-phase flow with soluble surfactant. SIAM Journal on Applied Mathematics, 73(1), 523-548.

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

Conference Proceeding

Magnetic field assisted heterogeneous device assembly
TMS Proceedings, 2012. Supplemental Proceedings, April (2nd Quarter/Spring) 2012

Intermediate template magnetic field assisted assembly
Advances in Electroceramic Materials II, Ceramic Transactions, Wiley, August 2010