Movimento de interface para duas equações de reação-difusão
Abstract
In this work, following [15], we will use the technique of matched asymptotic
expansions to study the movement of interface for the solutions of an advection-reaction-
difuusion equations and the equation of reaction-difusion with spatially of inhomogeneous
reaction term. We will get that the equations of such movements are equal. Also we will
study a system of equations without the drift term and will compare the movement of
its interfaces with the equation of the model of chemotaxis considered by Mimura and
TsujiKawa [13] and [14].
Keywords: Asymptotic expansions, mean curvature motion.