Geodesic
On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems
Electronic journal of differential equations, Tome 2004 (2004)
Zbl   EuDML
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.
Classification : 35B25, 35B35, 35K57, 35R35
Keywords: reaction-diffusion system, internal transition layer, equal-area condition 
Crema,  Janete; do Nascimento,  Arnaldo Simal. On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a48/
@article{EJDE_2004__2004__a48,
     author = {Crema,  Janete and do Nascimento,  Arnaldo Simal},
     title = {On the role of the equal-area condition in internal layer stationary solutions to a class of reaction-diffusion systems},
     journal = {Electronic journal of differential equations},
     year = {2004},
     volume = {2004},
     zbl = {1065.35031},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a48/}
}
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