V. Alexiades - UTK
Topics / Projects I have worked on
( often in collaboration with chemists, geoscientists,
engineers, physicists, ..., at Oak Ridge National Laboratory and elsewhere )
Many of my publications can be found on
Research Gate
Early work
- singular parabolic PDEs (existence-uniqueness-potentials)
- singular perturbations
- 4th order elliptic boundary value problems
- almost periodic solutions of integrodifferential delay equations
Phase-change modeling
- Pure materials:
- Stefan-type problems
- hyperbolic Stefan problems
- laser-induced melting
- supercooling and nucleation
- void formation, shrinkage effects
- latent heat energy storage
- for power system for space station
- for oxygen production on the moon
- convection in the melt (
benchmark solutions for Tin and Gallium melting)
- Binary alloys / mixtures:
- Laser ablation
Cellular Physiology / Biophysics
Assorted other
- super-time-stepping acceleration of explicit schemes
- stress-assisted diffusion
- free energy minimization for fluid interfaces
- heat pumps
- inverse problems in geophysics (airborne EM surveying)
- molecular dynamics computations - time stepping
.......
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V. Alexiades Math Dept Page
©1994-2018 V. Alexiades
Last Updated:
9 Sep 2018