Areas I worked

V. Alexiades - UTK Topics / Projects I have worked on
( often in collaboration with chemists, geoscientists, engineers, physicists, ..., at Oak Ridge National Laboratory and elsewhere )

Number of publications: 90
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

THE BOOK: Vasilios Alexiades and Alan D. Solomon, Mathematical Modeling of Melting and Freezing Processes Hemisphere Publ. Co., Washington DC, 1993

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:
- simple mushy zone models
- dilute alloys
- Mercury-Cadmium-Tellurite (HgCdTe) infrared detector alloy
- Ge-Si alloys
- in situ vitrification
  - Diopside-Anorthite
  - Feldspar-Pyroxene
- gas hydrates in seafloor sediments
Laser ablation

Cellular Physiology / Biophysics

synaptic transmission
visual transduction in retinal rod cells
cardiac action potentials
bacterial chemotaxis - aerotaxis
symbiosome

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