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Well-posedness of a quasilinear hyperbolic-parabolic system arising in mathematical biology

✍ Scribed by Alf Gerisch; Matthias Kotschote; Rico Zacher

Publisher
SP Birkhäuser Verlag Basel
Year
2007
Tongue
English
Weight
418 KB
Volume
14
Category
Article
ISSN
1021-9722

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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