This paper deals with the existence of monotone heteroclinic traveling waves for some reaction-convection-diffusion equations with saturating (and possibly density-dependent) nonlinear diffusion, modeling physical situations where a saturation effect appears for large values of the gradient. An estimate for the critical speed—namely, the least speed for which a monotone heteroclinic traveling wave exists—is provided in the presence of different kinds of reaction terms (e.g., monostable and bistable ones). The dependence of the admissible speeds on a small real parameter breaking the diffusion is also briefly discussed, and some numerical simulations are also shown.
Strani M. (Corresponding)
|Data di pubblicazione:||2019|
|Titolo:||Heteroclinic traveling fronts for reaction-convection-diffusion equations with a saturating diffusive term|
|Rivista:||INDIANA UNIVERSITY MATHEMATICS JOURNAL|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1512/iumj.2019.68.7806|
|Appare nelle tipologie:||2.1 Articolo su rivista |