Linda J. Cummings

Contact Info

Title: Professor, Associate Dean
Email: linda.cummings@njit.edu
Office: Cullimore 622
Hours: Monday 4.30-5.30 and Wednesday 1.00-2.00
Phone: 973-596-5479
Dept: Mathematical Sciences
Webpage: http://cfsm.njit.edu

Academic Interests: fluid dynamics, industrial mathematics, liquid crystals, filtration, biological fluid dynamics

About: 

About Me

I work on a variety of physically-motivated problems, mainly fluid-dynamical in nature, and many of which arise in industrial applications. More details of specific projects may be found under the "Research" tab. I co-organize the annual MPI (Mathematical Problems in Industry) workshop, which facilitates collaborations between industrialists and academic applied mathematicians. I am currently Associate Dean for Research and Graduate Education within the College of Science and Liberal Arts at NJIT.

Education

  • D.Phil., Applied Mathematics, University of Oxford (UK)
  • B.A., Mathematics, University of Oxford (UK)

Website

http://cfsm.njit.edu
Research: 

Research Overview

I work on a variety of physically-motivated problems, mainly fluid dynamical in nature, and many of which arise in industrial applications. I use mathematical modeling coupled with asymptotic analysis to derive tractable, predictive models of real systems. 

Current Research

Current research projects and interests include:

  • Mathematical modeling of membrane filtration
  • Thin film flow of nematic liquid crystals
  • Applications of nematic liquid crystals in display devices
  • Heat transport and phase change in thin films
  • Mathematical modeling of tissue engineering
  • Mathematical modeling of Ischemia-Reperfusion Injury
  • Complex variable methods applied to free boundary problems
Publications: 

Selected Publications

  • Sanaei, P., Richardson, G., Witelski, T.P., Cummings, L.J. Flow and fouling in a pleated membrane filter. J. Fluid Mech. 795, 36-59 (2016).
  • Afkhami, S., Cummings, L.J., Griffiths, I.M. Interfacial deformation and jetting of a magnetic fluid. Computers & Fluids, 124, 149-156 (2016).
  • Mema, E., Kondic, L., Cummings, L.J. Substrate-induced gliding in a nematic liquid crystal layer. Phys. Rev. E, 92, 062513 (2015).
  • Anderson, T.G., Mema, E., Kondic, L., Cummings, L.J. Transitions in Poiseuille flow of nematic liquid crystal. International Journal of Nonlinear Mechanics, 75, 15-21 (2015).
  • Lam, M.A., Cummings, L.J., Lin, T.-S., Kondic, L. Three dimensional coating flow of nematic liquid crystal on an inclined substrate.  Europ. J. Appl. Math. 26, 647-669 (2015).
  • Cummings, L.J., Mema, E., Cai, C., Kondic, L. Electric field variations within a nematic liquid crystal layer. Phys. Rev. E. 90, 012503 (2014).
  • Lam, M.A., Cummings, L.J., Lin, T.-S., Kondic, L. Modeling flow of nematic liquid crystal down an incline. J. Eng. Math. 94, 97-113 (2015).
  • Cummings, L.J., Low, J., Myers, T.G. Extensional flow of nematic liquid crystal under electric field gradient. Europ. J. Appl. Math., 25, 397-423 (2014).
  • Pohlmeyer, J., Cummings, L.J. Cyclic loading of growing tissue in a bioreactor: Mathematical model and asymptotic analysis. Bull. Math. Biol. 75, 2450-2473 (2013).
  • Cummings, L.J., Cai, C., Kondic, L. Bifurcation properties of nematic liquid crystals exposed to an electric field: switchability, bistability and multistability. Phys. Rev. E. 88, 012509 (2013).
  • Lin, T.-S., Cummings, L.J., Archer, A.J., Kondic, L., Thiele, U. Note on the hydrodynamic description of thin nematic films: strong anchoring model. Phys. Fluids 25 (8), 082102 (2013).
  • Lin, T.-S., Kondic, L., Thiele, U., Cummings, L.J. Modelling spreading dynamics of nematic liquid crystals in three spatial dimensions. J. Fluid Mech. 729, 214-230 (2013).
  • Taroni, M., Breward, C.J.W., Cummings, L.J., Griffiths, I.M. Asymptotic solutions of glass temperature profiles during steady optical fiber drawing. J. Engng. Math. 80 (1), 1-20 (2013).
  • Cummings, L.J., Cai, C., Kondic, L. Towards an optimal model for a bistable nematic Liquid Crystal Display device. J. Engng. Math. 80 (1), 21-38 (2013).
  • Pohlmeyer, J., Waters, S.L., Cummings, L.J. Mathematical model of growth factor driven haptotaxis and proliferation in a tissue engineering scaffold.  Bull. Math. Biol. 75 (3), 393-427 (2013).