Abstract:
  In this talk, a class of systems of parabolic type equtaions,
including singular diffusions, is considered. Each system is
supposed to be a mathematical model of solid-liquid phase
transition subject to crystalline structure, and is labeled by
the strucural unit of crystal, called ``Wulff shape''.
  The focus in this talk will be on the interfacial patterns in
steady-states, and the results of ``structural observation'',
``stability analysis'', and ``continuous dependence with respect
to Wulff shape'', will be presented, with helps from the general
theories of nonlinear evolution equations, BV-functions, 
differential geometry, set-valued analysis, and so on.