The paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregativeand to a purely aggregative regime. Existence and qualitative properties of traveling wave solutions are investigated and estimates of their threshold speeds are furnished. Further, the continuous dependence of the threshold wave speed andof the wave profiles on a real parameter is studied, both when the process maintains its diffusion-aggregation nature and when it switches from it to another regime.
Continuous dependence in front propagation for convective reaction-diffusion models with aggregative movements / Malaguti, Luisa; C., Marcelli; S., Matucci. - In: ABSTRACT AND APPLIED ANALYSIS. - ISSN 1085-3375. - ELETTRONICO. - 2011:(2011), pp. 1-22. [10.1155/2011/986738]
Continuous dependence in front propagation for convective reaction-diffusion models with aggregative movements
MALAGUTI, Luisa;
2011
Abstract
The paper deals with a degenerate reaction-diffusion equation, including aggregative movements and convective terms. The model also incorporates a real parameter causing the change from a purely diffusive to a diffusive-aggregativeand to a purely aggregative regime. Existence and qualitative properties of traveling wave solutions are investigated and estimates of their threshold speeds are furnished. Further, the continuous dependence of the threshold wave speed andof the wave profiles on a real parameter is studied, both when the process maintains its diffusion-aggregation nature and when it switches from it to another regime.File | Dimensione | Formato | |
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