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Well-posedness and long-time behavior for the modified phase-field crystal equation

✍ Scribed by Grasselli, Maurizio; Wu, Hao

Book ID
127250292
Publisher
World Scientific Publishing Company
Year
2014
Tongue
English
Weight
577 KB
Volume
24
Category
Article
ISSN
0218-2025

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Well-posedness and long time behavior of
Well-posedness and long time behavior of a parabolic-hyperbolic phase-field system with singular potentials
✍ Maurizio Grasselli; Alain Miranville; Vittorino Pata; Sergey Zelik 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 376 KB

## Abstract In this article, we study the long time behavior of a parabolic‐hyperbolic system arising from the theory of phase transitions. This system consists of a parabolic equation governing the (relative) temperature which is nonlinearly coupled with a weakly damped semilinear hyperbolic equat