Oberwolfach Reports

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Volume 7, Issue 2, 2010, pp. 1431–1484
DOI: 10.4171/OWR/2010/24

Published online: 2010-12-14

Phase Transitions

Kaushik Bhattacharya[1], Dmitry Ioffe[2], Stephan Luckhaus[3] and Felix Otto[4]

(1) California Institute of Technology, Pasadena, USA
(2) Technion - Israel Institute of Technology, Haifa, Israel
(3) Universität Leipzig, Germany
(4) 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.

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Bhattacharya Kaushik, Ioffe Dmitry, Luckhaus Stephan, Otto Felix: Phase Transitions. Oberwolfach Rep. 7 (2010), 1431-1484. doi: 10.4171/OWR/2010/24