Conditions on the motion of a heat source that guarantee a blow-up solution of the two-dimensional heat equation

Proceedings of Dynamic Systems and Applications

Volumn , Issue , 2003, Pages 146-152

  Kirk, C M ^a   Olmstead, W E ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR SYSTEMS;

HEAT EQUATION; HEAT SOURCE; NONLINEAR SOURCE;

HEAT TRANSFER;

EID: 29244455019     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (5)

1. C. Y. Chan and H. T. Tian, Single point blow-up for a degenerate parabolic problem due to a concentrated nonlinear source, Quart. Appl. Math. 61 (2003), 363-385.
2. C. M. Kirk and W. E. Olmstead, The influence of two moving heat sources on blow-up in a reactive-diffusive medium, Z. angew. Math. Phys. 51 (2000), 1-16.
3. C. M. Kirk and W. E. Olmstead, Blow-up in a reactive-diffusive medium with a moving heat source, Z. angew. Math. Phys. 53 (2002), 147-159.
4. W. E. Olmstead, Critical speed for the avoidance of blow-up in a reactive-diffusive medium, Z. angew. Math. Phys. 48 (1997), 1-10.
5. W. E. Olmstead and C. A. Roberts, Explosion in a diffusive strip due to a concentrated nonlinear source, Methods Appl. Anal. 1 (1994), 435-445.