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- W2023773783 abstract "We consider an initial boundary value problem set in ${x > 0}$ for amixed hyperbolic parabolic system of conservation laws with a small parameter $varepsilon$,$u_t +F(u)_x =varepsilon(B(u)u_x)_x$. In the non-characteristic case a boundary layers analysisgives a set of boundary conditions, the set of residual boundary conditions $mathcal C$, for theinviscid system $u_t+F(u)_x = 0$. We generalize the results of [16] obtained for strictlyparabolic perturbations to a realistic setting. We show that the set $mathcal C$ has the suitablegeometric property to construct a solution of the inviscid sytem in a vicinity of apoint where the Evans function of the corresponding profile of boundary layer doesnot vanish at zero. Next we consider multidimensional systems. We show that theKreiss-Lopatinski determinant for the hyperbolic system linearized about a constantstate in $mathcal C$ is equal to the reduced Evans function for the viscous system linearizedabout the corresponding profile of boundary layer." @default.
- W2023773783 created "2016-06-24" @default.
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- W2023773783 date "2002-01-01" @default.
- W2023773783 modified "2023-10-14" @default.
- W2023773783 title "The residual boundary conditions coming from the real vanishing viscosity method" @default.
- W2023773783 doi "https://doi.org/10.3934/dcds.2002.8.606" @default.
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