Michael Booty
Professor, Mathematical Sciences
- michael.r.booty@njit.edu
- 973-596-3484
- 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
2026 Fall Courses
MATH 473 - INTERMED DIFFEREN EQUATN
MATH 790A - DOCT DISSERTATION & RES
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
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.
Other
Journal Article
Chapter
Conference Proceeding