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[00181] Control of the Stefan problem

  • Session Time & Room : 5B (Aug.25, 10:40-12:20) @A207
  • Type : Contributed Talk
  • Abstract : The Stefan problem is the quintessential macroscopic model of phase transitions in liquid-solid systems. We consider the one-phase Stefan problem with surface tension, set in two-dimensional strip-like geometry. We discuss the local null controllability of the system in any positive time, by means of control supported within an arbitrary open and non-empty subset.
  • Classification : 93B05, 35R35, 35Q35, 93C20, Stefan problem, free boundary problem, controllability
  • Author(s) :
    • Debayan Maity (TIFR Centre for Applicable Mathematics)