Behavior of critical solutions of a nonlocal hyperbolic problem in Ohmic heating of foods

Applied Mathematics E - Notes

Volumn 2, Issue , 2002, Pages 59-65

  Kavallaris, Nikos I ^b   Tzanetis, Dimitrios E ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042528542     PISSN: 16072510     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. N. I. Kavallaris and D. E. Tzanetis, Blow-up and stability of a nonlocal diffusion-convection problem arising in Ohmic heating of foods, Diff. Integ. Eqns. 15(3)(2002), 271-288.
2. N. I. Kavallaris and D.E. Tzanetis, Global existence and divergence of critical solutions of some nonlocal parabolic problems in Ohmic heating process, preprint.
3. A. A. Lacey, Thermal runaway in a non-local problem modelling Ohmic heating. Part I: Model derivation and some special cases", Euro. J. Appl. Math. 6(1995), 127-144.
4. A. A. Lacey, Thermal runaway in a non-local problem modelling Ohmic heating. Part II: General proof of blow-up and asymptotics of runaway, Euro. J. Appl. Math. 6(1995), 201-224.
5. A. A. Lacey, D.E. Tzanetis & P.M. Vlamos, Behaviour of a nonlocal reactive convective problem modelling Ohmic heating of foods, Quart. J. Mech. Appl. Math. 5(4)(1999), 623-644.
6. P. Souplet, Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal source, J. Diff. Eqns 153(1999), 374-406.