Differential Equations (Ordinary and Partial) and Fourier Analysis

• Most of Physics and Engineering (esp. Electrical and Mechanical)
• Sound waves in air; linearized supersonic airflow
• Crystal growth
• Cryocooler modeling
• Casting of materials
• Materials science
• Electromagnetics analysis for detection by radar
• Material constitutive modeling and equation of state
• Underwater acoustic signal processing
• Predict the evolution of crystals growing in an industrial crystallizer
• Reentry simulations for the Space Shuttle
• Rocket launch trajectory analysis
• Trajectory prescribed path control and optimal control problems
• Motion of a space vehicle
• Aircraft landing field length
• Design and analysis of control systems for aircraft
• Underwater acoustic signal processing
• Nonlinear dynamics
• Large scale shock wave physics code development
• Material constitutive modeling and equation of state
• Molecular and cellular mechanisms of toxicity
• Transport and disposition of chemicals through the body
• Modeling of airflow over airplane bodies
• Photographic development (Eastman Kodak)
• Waves in composite media
• Immuno-assay chemistry for developing new blood tests
• Radio interferometry
• Free mesons in nuclear physics
• Seismic wave propagation in the earth (earthquakes)
• Heat transfer
• Airflow over airplane bodies (aerodynamics)