Error estimates for nonlinear Stefan problems obtained as asymptotic limits of a Penrose-Fife model

ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik

Volumn 76, Issue SUPPL. 2, 1996, Pages 409-412

  Colli, P ^a  

^a UNIVERSITY OF TURIN   (Italy)

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EID: 21444439789     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

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2. COLLI; P., SPREKELS, J.: On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type, Ann. Math. Pura Appl. (4), to appear.
3. COLLI; P., SPREKELS, J.: Stefan problems and the Penrose-Fife phase field model. Submitted.
4. HORN, W.; LAURENÇOT, PH.; SPREKELS, J.: Global solutions to a Penrose-Fife phase-field model under flux boundary conditions for the inverse temperature. Submitted.
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7. LAURENÇOT, PH.: Solutions to a Penrose-Fife model of phase-field type. J. Math. Anal. Appl. 185 (1994), 262-274.
8. LAURENÇOT, PH.: Weak solutions to a Penrose-Fife model for phase transitions. Adv. Math. Sci. Appl., to appear.
9. PENROSE, O.; FIFE, P. C.: Thermodynamically consistent models of phase field type. Physica D 43 (1990), 44-62.
10. PENROSE, O.; FIFE, P. C.: On the relation between the standard phase-field model and a "thermodynamically consistent" phase-field model. Physica D 69 (1993), 107-113.
11. SHIROHZU, J.; SATO, N.; KENMOCHI, N.: Asymptotic convergence in models for phase change problems. GAKUTO Int. Ser. Math. Sci. Appl. 7 (1995),
12. Proceedings of Banach Center Semester 1994, to appear.
13. SPREKELS, J.; ZHENG, S.: Global smooth solutions to a thermodynamically consistent model of phase-field type in higher space dimensions. J. Math. Anal. Appl. 176 (1993), 200-223.