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• W3128336784 abstract "This work is concerned with boundary conditions for one-dimensional hyperbolic relaxation systems with characteristic boundaries. We assume that the relaxation system satisfies the structural stability condition proposed by the second author previously and the boundary is characteristic of type I (characteristic for the relaxation system but non-characteristic for the corresponding equilibrium system). For this kind of characteristic initial-boundary-value problems, we propose a modified Generalized Kreiss condition (GKC). This extends the GKC proposed by W.-A. Yong (1999) [28] for the non-characteristic boundaries to the present characteristic case. Under this modified GKC, we derive the reduced boundary condition and verify its validity by combining an energy estimate with the Laplace transform. Moreover, we show the existence of boundary-layers for nonlinear problems." @default.
• W3128336784 created "2021-02-15" @default.
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• W3128336784 date "2021-04-01" @default.
• W3128336784 modified "2023-10-09" @default.
• W3128336784 title "Boundary conditions for hyperbolic relaxation systems with characteristic boundaries of type I" @default.
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• W3128336784 doi "https://doi.org/10.1016/j.jde.2021.02.008" @default.
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