Phase Transitions

  • Kaushik Bhattacharya

    California Institute of Technology, Pasadena, USA
  • Dmitry Ioffe

    Technion - Israel Institute of Technology, Haifa, Israel
  • Stephan Luckhaus

    Universität Leipzig, Germany
  • Felix Otto

    MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany


Phase transitions are common phenomena which occur in many fields of material sciences. Models of phase transitions in diverse physical systems often lead to ill-posed mathematical problems whose solutions are characterized by oscillations, bifurcations and singularities. Random fluctuations and stochastic events also play an important role in determining the nature of the solutions.

Cite this article

Kaushik Bhattacharya, Dmitry Ioffe, Stephan Luckhaus, Felix Otto, Phase Transitions. Oberwolfach Rep. 7 (2010), no. 2, pp. 1431–1484

DOI 10.4171/OWR/2010/24