My research has addressed problems of practical concern arising in the general area of solid and fluid mechanics, especially chemically reactive flows of the kind that occur during combustion and explosion processes. Recent work has focused on the development and analysis, both theoretical and computational, of models that would accurately predict the generation and propagation of detonation waves in high-energy solid explosives. The research is carried out in collaboration with colleagues at Rensselaer and at Los Alamos and Lawrence Livermore national laboratories.
Applied Mathematics: Reactive and multiphase flow, nonlinear waves, perturbation methods, scientific computing, Education: Development of web-based instructional materials
MATH 6500: Partial Differential Equations
MATH 6600: Methods of Applied Mathematics
The following is a selection of recent publications in Scopus. Ashwani Kapila has 66 indexed publications in the subjects of Mathematics, Engineering, and Energy.