### Impacto

### Downloads

Downloads per month over past year

Díaz Díaz, Jesús Ildefonso and Kamin, S.
(2012)
*Convergence to travelling waves for quasilinear Fisher–KPP type equations.*
Journal of Mathematical Analysis and Applications, 390
(1).
pp. 74-85.
ISSN 0022-247X

Preview |
PDF
185kB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X12000340

## Abstract

We consider the Cauchy problem ut = ϕ(u)xx + ψ(u), (t, x) ∈ R+ × R, u(0, x) = u0(x), x ∈ R, when the increasing function ϕ satisfies that ϕ(0) = 0 and the equation may degenerate at u = 0 (in the case of ϕ� (0) = 0). We consider the case of u0 ∈ L∞(R), 0 u0(x) 1 a.e. x ∈ R and the special case of ψ(u) = u − ϕ(u). We prove that the solution approaches the travelling wave solution (with speed c = 1), spreading either to the right or to the left, or to the two travelling waves moving in opposite directions.

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

Uncontrolled Keywords: | Kolmogorov, Petrovsky and Piscunov equation;Travelling waves; Asymptotic convergence |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 29589 |

Deposited On: | 16 Apr 2015 08:54 |

Last Modified: | 12 Dec 2018 15:07 |

### Origin of downloads

Repository Staff Only: item control page