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dc.contributor.authorOu, Y.
dc.contributor.authorZhu, P.
dc.date.accessioned2017-02-21T08:18:18Z
dc.date.available2017-02-21T08:18:18Z
dc.date.issued2013-12-31
dc.identifier.issn1468-1218
dc.identifier.urihttp://hdl.handle.net/20.500.11824/526
dc.description.abstractIn this article we study, by the vanishing viscosity method, the sensitivity analysis of an optimal control problem for 1-D scalar conservation laws in the presence of shocks. It is reduced to investigate the vanishing viscosity limit for the nonlinear conservation law, the corresponding linearized equation and its adjoint equation, respectively. We employ the method of matched asymptotic expansions to construct approximate solutions to those equations. It is then proved that the approximate solutions, respectively, satisfy those viscous equations in the asymptotic sense, and converge to the solutions of the corresponding inviscid problems with certain convergent rates. A new equation for the variation of shock positions is derived. It is also discussed how to identify descent directions to find the minimizer of the viscous optimal control problem in the quasi-shock case.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectConservation laws
dc.subjectOptimal control
dc.subjectSensitivity
dc.subjectShocks
dc.subjectVanishing viscosity limit
dc.titleThe vanishing viscosity method for the sensitivity analysis of an optimal control problem of conservation laws in the presence of shocks
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.nonrwa.2013.02.001
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84876414720&doi=10.1016%2fj.nonrwa.2013.02.001&partnerID=40&md5=a38162e8d82f8480e9658feb3f5132fa
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleNonlinear Analysis: Real World Applicationsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España