We investigate the continuous dependence of the minimal speed of propagation and the profile of the corresponding travelling wave solution of Fisher-type reaction-diffusion equations θ_t = (D(θ)θ_x)_x + f(θ) with respect to both the reaction term f and the diffusivity D. We also introduce and discuss the concept of fast heteroclinic in this context, which allows to interpret the appearance of sharp heteroclinic in the case of degenerate diffusivity (D(0) = 0).
Fastness and continuous dependence in front propagation in Fisher-KPP equations / Arias, M.; Campos, J.; Marcelli, Cristina. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES B.. - ISSN 1531-3492. - STAMPA. - 11:1(2009), pp. 11-30. [10.3934/dcdsb.2009.11.11]
Fastness and continuous dependence in front propagation in Fisher-KPP equations
MARCELLI, Cristina
2009-01-01
Abstract
We investigate the continuous dependence of the minimal speed of propagation and the profile of the corresponding travelling wave solution of Fisher-type reaction-diffusion equations θ_t = (D(θ)θ_x)_x + f(θ) with respect to both the reaction term f and the diffusivity D. We also introduce and discuss the concept of fast heteroclinic in this context, which allows to interpret the appearance of sharp heteroclinic in the case of degenerate diffusivity (D(0) = 0).I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
