Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Nonisothermal dynamic phase transitions

Author: Michael Grinfeld
Journal: Quart. Appl. Math. 47 (1989), 71-84
MSC: Primary 35Q20; Secondary 58F07, 76T05, 80A99
DOI: https://doi.org/10.1090/qam/987896
MathSciNet review: 987896
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Abstract: In this work we prove existence of travelling wave solutions to the Korteweg theory of capillarity regularization of conservation laws governing the motion of a van der Waals fluid. These solutions connect states in different phases and thus can be interpreted as dynamic phase transitions.

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DOI: https://doi.org/10.1090/qam/987896
Article copyright: © Copyright 1989 American Mathematical Society

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