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Characteristic boundary layers for mixed hyperbolic systems in one space dimension and applications to the Navier-Stokes and MHD equations

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dc.contributor.author Bianchini, Stefano
dc.contributor.author Spinolo, Laura
dc.date.accessioned 2018-10-16T11:48:42Z
dc.date.available 2018-10-16T11:48:42Z
dc.date.issued 2018-10-16
dc.identifier.uri http://preprints.sissa.it/xmlui/handle/1963/35325
dc.description.abstract We provide a detailed analysis of the boundary layers for mixed hyperbolic-parabolic systems in one space dimension and small amplitude regimes. As an application of our results, we describe the solution of the so-called boundary Riemann problem recovered as the zero viscosity limit of the physical viscous approximation. In particular, we tackle the so called doubly characteristic case, which is considerably more demanding from the technical viewpoint and occurs when the boundary is characteristic for both the mixed hyperbolic-parabolic system and for the hyperbolic system obtained by neglecting the second order terms. Our analysis applies in particular to the compressible Navier-Stokes and MHD equations in Eulerian coordinates, with both positive and null conductivity. In these cases, the doubly characteristic case occurs when the velocity is close to 0. The analysis extends to non-conservative systems. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries SISSA;45/2018/MATE
dc.subject boundary layers en_US
dc.subject traveling waves en_US
dc.subject characteristic boundary en_US
dc.subject physical viscosity en_US
dc.subject mixed hyperbolicparabolic systems en_US
dc.subject Riemann problem en_US
dc.subject boundary Riemann problem en_US
dc.subject Navier-Stokes equations en_US
dc.subject MHD equations en_US
dc.subject Euler equations en_US
dc.title Characteristic boundary layers for mixed hyperbolic systems in one space dimension and applications to the Navier-Stokes and MHD equations en_US
dc.type Preprint en_US
dc.miur.area 1 en_US
dc.contributor.area Mathematics en_US
dc.relation.firstpage 1 en_US
dc.relation.lastpage 46 en_US


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