Spatial bounds and growth estimates for the heat equation with three relaxation times

Mathematical Methods in the Applied Sciences

Volumn 20, Issue 15, 1997, Pages 1335-1344

  Quintanilla, R ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS;

HEAT CONDUCTION EQUATION;

HEAT CONDUCTION;

EID: 0031259091     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-1476(199710)20:15<1335::AID-MMA918>3.0.CO;2-9     Document Type: Article

References (7)

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2. Franchi, F. and Straughan, B, 'Continuous dependence on the relaxation time and modelling, and unbounded growth, in theories of heat conduction with finite propagation speeds', J. Math. Anal. Appl., 185, 726-746 (1994).
3. Franchi, F. and Straughan, B., 'Spatial decay estimates and continuous dependence on modelling for an equation from dynamo theory', Proc. R. Soc. Lond. A, 445, 437-451 (1994).
4. Ghaleb, A. E., 'A model of continuous thermoelastic media within the frame of extended thermodynamics', Int. J. Engng. Sci., 24, 765-771 (1986).
5. Ghaleb, A. F. and El-Deen Mohamedein, Sh., 'A heat conduction equation with three relaxation times. Particular solutions', Int. J. Engng. Sci. 27, 1367-1377 (1989).
6. Lin, C. and Payne, L. E., 'On the spatial decay of ill-posed parabolic problems, Math. Models Meth. Appl. Sci., 3, 563-575 (1993).
7. Quintanilla, R., 'Spatial decay estimates for two backward equations', preprint.