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  Far East Journal of Dynamical Systems  
 ISSN: 0972-1118
 
 
 

     Far East Journal of Dynamical Systems
    Volume 10, Issue 2, Pages 153 - 167 (June 2008)


ASYMPTOTICAL BEHAVIOR OF A NONLOCAL HYPERBOLIC PROBLEM

Wang Xianchao (P. R. China) and Li Yuxiang (P. R. China)

Received February 3, 2008

References:



[1] C. H. Biss, S. A. Coombers and P. J. Skudder, The Development and Applications of Ohmic Heating for Continuous Processing of Particulate Foodstuffs, Process Engineering in the Food Industry, R. W. Field and J. A. Howell, eds., Elsevier, London, 1989, pp. 17-27.

[2] A. A. P. De Alwis and P. J. Fryer, Operability of the Ohmic heating process: electrical conductivity effects, J. Food Eng. 15 (1992), 21-48.

[3] P. J. Fryer, A. A. P. De Alwis, E. Koury, A. G. F. Stapley and L. Zhang, Ohmic processing of solid-liquid mixtures: heat generation and convection effects, J. Food Eng. 18 (1993), 101-125.

[4] A. A. Lacey, Thermal runaway in a non-local problem modelling Ohmic heating, Part I, model derivation and some special cases, European J. Appl. Math. 6 (1995), 127-144.

[5] A. A. Lacey, D. E. Tzanetis and P. E. Vlamos, Behavior of a non-local reactive convective problem modelling Ohmic heating of foods, Quart. J. Mech. Appl. Math. 52 (1999), 623-644.

[6] C. P. Please, D. W. Schwendeman and P. S. Hagan, Ohmic heating of foods during aseptic processing, IMA J. Math. Bus. Ind. 5 (1994), 283-301.

[7] P. Skudder and S. Biss, Aseptic processing of food products using Ohmic heating, The Chemical Engineer 2 (1987), 26-28.

[8] R. Stiring, Ohmic heating - a new process for the food industry, Power Engng. J. 6 (1995), 127-144.

[9] L. Zhang and P. J. Fryer, Models for the electrical heating of solid-liquid food mixtures, Chem. Engng. Sci. 48 (1993), 633-642.

Keywords and phrases: non-local hyperbolic equation, asymptotically behavior, blow-up.

 


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