### Impacto

### Downloads

Downloads per month over past year

Velázquez, J.J. L. and Galaktionov, V. A. and Herrero, Miguel A.
(1991)
*The space structure near a blow-up point for semilinear heat-equations: a formal approach.*
Computational Mathematics and Mathematical Physics, 31
(3).
pp. 46-55.
ISSN 0965-5425

Preview |
PDF
1MB |

Official URL: http://www.mathnet.ru/links/e4ba9648dc99d5b162073772ae6134ba/zvmmf3115.pdf

## Abstract

Positive solutions of the semilinear parabolic equations u(t) - u(xx) = u(p), p > 1 and u(t) - u(xx) = e(u) for - ∞ < x < + ∞, t > 0 which blow up at a single point x = 0 at a finite instant of time t = T > 0 are considered. Using formal methods, a description is given of the types of possible asymptotic behaviour of the solutions as (x, t)--> (0, T).

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Blow-up of a positive solution; single-point blow-up; formal expansions |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 17117 |

Deposited On: | 16 Nov 2012 08:58 |

Last Modified: | 19 Feb 2019 13:07 |

### Origin of downloads

Repository Staff Only: item control page