Nucleation Rate Identification in Binary Phase Transition

  • Dietmar Hömberg
  • Shuai Lu
  • Kenichi Sakamoto
  • Masahiro Yamamoto
Conference paper
Part of the Mathematics for Industry book series (MFI, volume 1)


In this chapter, we study a PDE-ODE system arising from binary phase transition coupled with an energy balance to account for recalescence effects. The phase transition is described by classic arguments on nucleation and growth process. The main novelty of our work is the identification of temperature dependent nucleation rates from measurements in a subdomain. We prove the uniqueness of the parameter identification problem and numerical results support the theoretical results.


Inverse problem Optimal control Coupled system Parameter identification 


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Copyright information

© Springer Japan 2014

Authors and Affiliations

  • Dietmar Hömberg
    • 1
  • Shuai Lu
    • 2
  • Kenichi Sakamoto
    • 3
  • Masahiro Yamamoto
    • 4
  1. 1.Weierstrass Institute for Applied Analysis and StochasticsBerlinGermany
  2. 2.School of Mathematical SciencesFudan UniversityShanghaiChina
  3. 3.Mathematical Science and Technology Research Laboratory, Advanced Technology Research Laboratories, Technical Development BureauNippon Steel & Sumitomo Metal CorporationFuttsuJapan
  4. 4.Department of Mathematical SciencesThe University of TokyoTokyoJapan

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