Publication: Dynamic Boundary Conditions as Limit of Singularly Perturbed Parabolic Problems
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Publication Date
2011
Authors
Jiménez Casas, Ángela
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American Institute of Mathematical Sciences
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Abstract
We obtain dynamic boundary conditions as a limit of parabolic problems with null flux where the time derivative concentrates near the boundary.
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R. Adams, Sobolev Spaces, Pure and Applied Mathematics, 65 (1975), Academic Press, New York-London.
J.M. Arrieta, A. Jiménez-Casas and A.Rodríguez-Bernal, Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary, Rev. Ibero. Matem., 24 (2008), 183–211.
A.Friedman and M. Shinbrot, The initial value problem for the linearized equations of water waves, J. Mathematics and Mechanics, 17 (1967), 107–180.
A. Jiménez-Casas and A.Rodríguez-Bernal, Asymptotic behaviour of a parabolic problem with terms concentrated on the boundary, Nonlin. Anal., 71 (2009), e2377–2383.
J.L.Lions, Quelques Mèthodes de Rèsolution des Problèmes aux Limites non Lineaires, Dunod(1969).
A. Rodríguez-Bernal and E. Zuazua, Parabolic singular limit of a wave equation with localized boundary damping, Dis. Cont. Dyn. Sys., 1 (1995), 303–346.
A. Rodríguez-Bernal and E. Zuazua, Parabolic singular limit of a wave equation with localized interior damping, Comm. Contem. Math., 3 (2001), 215–257.