The paper deals with the existence and properties of frontpropagation between the stationary states 0 and 1 of the reaction-diffusion-advection equation with a bistable reaction term G and a strictly positive diffusive process. We show that the additional transport term h can cause the disappearance of such wavefronts and prove that their existence depends both on the local behavior of G and h near the unstable equilibrium and on a suitable sign condition on h in [0, 1]. We also provide an estimate of the wave speed, which can be negative unlike what happens to the mere reaction-diffusion dynamic occurring when h ≡ 0.

Front propagation in bistable reaction-diffusion-advection equations / Malaguti, Luisa; C., Marcelli; S., Matucci. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 9:(2004), pp. 1143-1166.

Front propagation in bistable reaction-diffusion-advection equations

MALAGUTI, Luisa;
2004

Abstract

The paper deals with the existence and properties of frontpropagation between the stationary states 0 and 1 of the reaction-diffusion-advection equation with a bistable reaction term G and a strictly positive diffusive process. We show that the additional transport term h can cause the disappearance of such wavefronts and prove that their existence depends both on the local behavior of G and h near the unstable equilibrium and on a suitable sign condition on h in [0, 1]. We also provide an estimate of the wave speed, which can be negative unlike what happens to the mere reaction-diffusion dynamic occurring when h ≡ 0.
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Front propagation in bistable reaction-diffusion-advection equations / Malaguti, Luisa; C., Marcelli; S., Matucci. - In: ADVANCES IN DIFFERENTIAL EQUATIONS. - ISSN 1079-9389. - STAMPA. - 9:(2004), pp. 1143-1166.
Malaguti, Luisa; C., Marcelli; S., Matucci
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/454909
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