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.areaMathematicsen_US
dc.contributor.authorBianchini, Stefano
dc.contributor.authorSpinolo, Laura
dc.date.accessioned2018-10-16T11:48:42Z
dc.date.available2018-10-16T11:48:42Z
dc.date.issued2018-10-16
dc.description.abstractWe 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.identifier.urihttps://openscience.sissa.it/handle/1963/35325
dc.language.isoenen_US
dc.miur.area1en_US
dc.publisherSISSAen_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;45/2018/MATE
dc.relation.lastpage46en_US
dc.subjectboundary layersen_US
dc.subjecttraveling wavesen_US
dc.subjectcharacteristic boundaryen_US
dc.subjectphysical viscosityen_US
dc.subjectmixed hyperbolicparabolic systemsen_US
dc.subjectRiemann problemen_US
dc.subjectboundary Riemann problemen_US
dc.subjectNavier-Stokes equationsen_US
dc.subjectMHD equationsen_US
dc.subjectEuler equationsen_US
dc.titleCharacteristic boundary layers for mixed hyperbolic systems in one space dimension and applications to the Navier-Stokes and MHD equationsen_US
dc.typePreprinten_US
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