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Volume 7, Issue 2, 2010, pp. 1431–1484
DOI: 10.4171/OWR/2010/24
Phase Transitions
Organized by: Kaushik Bhattacharya (1), Dmitri Ioffe (2), Stephan Luckhaus (3) and Felix Otto (4)
(1) California Institute of Technology, Mail Stop 104-44, CA 91125, PASADENA, UNITED STATES(2) Faculty of Industrial Engineering, Technion - Israel Institute of Technology, 32000, HAIFA, ISRAEL
(3) Mathematisches Institut, Universität Leipzig, Augustusplatz 10-11, 04109, LEIPZIG, GERMANY
(4) Max-Planck Institut, für Mathematik in den Naturwissenschaften, Inselstrasse 22-26, 04103, 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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