Pattern formation in microwave heated ceramics: Cylinders and slabs

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 66, Issue 1, 2001, Pages 1-32

  Kriegsmann, G A ^a  

^a NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITY RESONATORS; CYLINDERS (SHAPES); ELECTRIC CONDUCTIVITY OF SOLIDS; ELECTRIC FIELD EFFECTS; ELECTROMAGNETIC WAVE SCATTERING; MATHEMATICAL MODELS; MATRIX ALGEBRA; MICROWAVE HEATING; NUMERICAL METHODS;

BIOT NUMBER ASYMPTOTIC ANALYSIS; S-MATRIX THEORY; THIN CERAMIC CYLINDERS; THIN CERAMIC SLABS;

CERAMIC MATERIALS;

EID: 0035252019     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/66.1.1     Document Type: Article

References (13)

1. BOOTY, M. R. & KRIEGSMANN, G. A. 1994 Microwave heating and joining of ceramic cylinders: A mathematical model. Meth. Appl. Anal. 1, 403-423.
2. BOSE, A. & KRIEGSMANN, G. A. 1998 Stability of localized structures in non-local reaction diffusion equations. Meth. Appl. Anal. 5, 351-366.
3. FEHER, L. 1998 Microwave heating of slabs in highly resonant single mode cavities. Proceedings of the Eighth European Symposium on MW Heating, Prague.
4. FUKUSHIMA, T. 1988 Microwave heating of ceramics and its application to joining. MRS Symposium Proceedings 124, 235-240.
5. KEVORKIAN, J. & COLE, J. D. 1981 Perturbation Methods in Applied Mathematics. New York: Springer.
6. KRIEGSMANN, G. A. 1993 Microwave heating of dispersive media. SIAM J. Appl. Math. 53, 655-669.
7. KRIEGSMANN, G. A. 1997a Hot spot formation in microwave heated ceramic fibers. IMA J. Appl. Math. 52, 123-148.
8. KRIEGSMANN, G. A. 1997b Cavity effects in microwave heating of ceramics. SIAM J. Appl. Math. 57, 21-32.
9. LACEY, A. A. 1996 Thermal runaway in a non-local problem modeling ohmic heating. Part II: general proof of blow-up and asymptotics of runaway. Europ. J. Appl. Math. 6, 201-225.
10. THOMAS, J. R., UNRUH, W. P., & VOGT, G. J. 1994 Mathematical model of thermal spikes in microwave heating of oxide ceramic fibers. MRS Symposium Proceedings 347, 363-368.
11. TIAN, Y. L. 1991 Practices of ultra-rapid sintering of ceramics using single mode applicators. Ceramic Transactions 21, 283-300.
12. WATTERS, D. G. 1988 An advanced study of microwave sintering, Ph.D. Dissertation, Northwestern University.
13. WESTPHAL, W. B. 1963 Dielectric constant and loss measurements on high-temperature materials. Laboratory for Insulation Research Technical Report, MIT, October.