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Vernerey, Divya E. Instructor

Positions

Research Areas research areas

Research

research overview

  • Dr. Vernerey's research interests are mathematical modeling and solving systems of nonlinear reaction-diffusion equations. This work in applied mathematics utilizes her training in mathematical physics, differential equations, asymptotical and perturbation methods, and numerical solutions of partial differential equations. These areas have been the building blocks for her research in the mathematical modeling of frontal polymerization. This area of research opens the door to fascinating studies at the interface between mathematics, physics, chemistry, and biology. One such multi-disciplinary topic is combustion theory (exothermic polymerization waves are in many respects similar to combustion waves) and another involves the emerging field of tissue engineering and tissue growth. This later application typically deals with diffusion-reaction equations, which can, in some cases lead to the propagation of degradation fronts.

keywords

  • partial differential equations, traveling waves in nonlinear reaction-diffusion systems, frontal polymerization

Publications

Teaching

courses taught

  • MATH 1151 Precalculus Supplemental Lab (Spring 2019)
  • MATH 6900 Independent Study (Spring 2019)
  • MATH 1150 Precalculus Mathematics (Fall 2018)
  • MATH 3430 Ordinary Differential Equations (Fall 2018)
  • MATH 3430 Ordinary Differential Equations (Summer 2018)
  • MATH 1150 Precalculus Mathematics (Summer 2018)
  • MATH 1151 Precalculus Supplemental Lab (Summer 2018)
  • APPM 4120 Introduction to Operations Research (Spring 2018)
  • APPM 5120 Introduction to Operations Research (Spring 2018)
  • MATH 1150 Precalculus Mathematics (Spring 2018)
  • MATH 1151 Precalculus Supplemental Lab (Spring 2018)
  • MATH 3850 Seminar in Guided Mathematics Instruction (Spring 2018)
  • MATH 4120 Introduction to Operations Research (Spring 2018)
  • MATH 5120 Introduction to Operations Research (Spring 2018)
  • MATH 6900 Independent Study (Spring 2018)

Background

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