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Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary

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Arrieta Algarra, José María y Cónsul, Neus y Rodríguez Bernal, Aníbal (2004) Stable boundary layers in a diffusion problem with nonlinear reaction at the boundary. Zeitschrift für Angewandte Mathematik und Physik, 55 (1). pp. 1-14. ISSN 0044-2275

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URL Oficial: http://download.springer.com/static/pdf/453/art%253A10.1007%252Fs00033-003-2063-z.pdf?auth66=1360940295_9a26f43517b93d290ff05a6bb450d133&ext=.pdf


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Resumen

We prove the existence of nonconstant stable stationary solutions of an evolution problem with a nonlinear reaction acting on the boundary. These solutions present layers at certain points of the boundary. We also study the behavior of these solutions as the small parameter appearing in the equation approaches zero and show some stability properties of the profiles given by these equilibrium solutions.


Tipo de documento:Artículo
Palabras clave:Boundary reaction; Patterns; Boundary layers; Energy; Minimizers; Heat-equations; Spaces; Bounds; Time; Nonconstant equilibria; Parabolic problems; Transition layers; Equations; Attractors; Stability
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:18119
Depositado:01 Feb 2013 12:21
Última Modificación:12 Dic 2018 15:07

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