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DEPARTMENT OF MECHANICAL ENGINEERING NEW JERSEY INSTITUTE OF TECHNOLOGY |
Cameron
Connell
Mathematical
Sciences
NJIT
This talk is meant to be largely a survey of some problems in epitaxial growth which have some common ground with other areas of applied mathematics. I will discuss instabilites of steps in step flow growth of epitaxial films. These include meandering instabilites, such as of the Bales-Zangwill or Mullins-Sekerka type, as well as step bunching instabilities. These instabilites are amenable to asymptotic methods, such as linear and nonlinear stability methods. Similar instabilities (and similar treatments) arise when considering the surface of an epitaxially growing film in the presence of lattice mismatch and stress. I will consider instabilities of these type as well, such as the Asaro-Tiller-Grinfeld instability. I am hoping to find opportunities for cross-fertilization between these areas and fluid dynamics.