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Mathematical Sciences

Mathematical Sciences Research

Applied Geometry
Approximation Theory
Chemically-Reacting Flows
Computational Logic
Dynamical Systems
Environmental Problems
Fluid Dynamics
Inverse Problems
Machine Learning
Math Education
Mathematical Physics
Multiphase Flows
Nonlinear Analysis
Nonlinear Materials
Nonlinear Waves
Operations Research and Mathematical Programming
Perturbation Methods
Scientific Computing

Mathematical Sciences Research
Chemically-Reacting Flows

An area of research is combustion theory.

Combustion theory applies mathematical theory, modeling, numerical simulation and experimental techniques to the study of combustion.

Combustion Theory at Rensselaer

Researchers at Rensselaer focus on:

  • Investigating mathematical modeling of combustion and flame propagation phenomena.
  • Analysis of the resulting systems of nonlinear ordinary and partial differential equations.

Current Projects

Topics of current interest include:

  • Bifurcation and stability of reactive systems.
  • Evolution and interaction of waves in reactive gases.
  • Combustion and vortex breakdown in swirling flows.
  • Transition from deflagration to detonation in granular explosives.

Faculty Researchers

Ashwani Kapila
Victor Roytburd
Donald Schwendeman


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