We consider a reaction-diffusion-convection equation where the reaction term well describes those phenomena which activate only after a certain threshold value. We address our interest in the existence of travelling wave solutions (t.w.s.) between two equilibria and their corresponding wave sppeds. We show that, when the convective term H is, in some sense, weak, this model behaves as in the absence of convection and it admits a unique (up to space shifts) t.w.s. with a positive wave speed. On the contrary, when H prevails over the other terms, no t.w.s. exists.
The influence of convective effects on front propagation in certain diffusive models / Malaguti, Luisa; Marcelli, C.. - STAMPA. - (2003), pp. 362-367. (Intervento presentato al convegno 5TH ESMTB tenutosi a Milan (Italy) nel 2-6 July, 2002).
The influence of convective effects on front propagation in certain diffusive models
MALAGUTI, Luisa;
2003
Abstract
We consider a reaction-diffusion-convection equation where the reaction term well describes those phenomena which activate only after a certain threshold value. We address our interest in the existence of travelling wave solutions (t.w.s.) between two equilibria and their corresponding wave sppeds. We show that, when the convective term H is, in some sense, weak, this model behaves as in the absence of convection and it admits a unique (up to space shifts) t.w.s. with a positive wave speed. On the contrary, when H prevails over the other terms, no t.w.s. exists.
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