On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems
Nascimento, Arnaldo Simal do
Southwest Texas State University, Department of Mathematics
We present necessary conditions for the formation of internal transition layers in stationary solutions to some singularly perturbed reaction-diffusion systems. In particular we prove that the well-known equal-area condition which is always assumed in a typical set of sufficient conditions for existence of such solutions is actually a necessary hypothesis. Examples of existence and nonexistence of these solutions are given.
Reaction-diffusion system, Internal transition layer, Equal-area condition
Crema, J., & Nascimento, A. S. D. (2004). On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems. <i>Electronic Journal of Differential Equations, 2004</i>(99), pp. 1-13.
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