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dc.contributor.authorBeauchard, K.
dc.contributor.authorZuazua, E.
dc.date.accessioned2017-02-21T08:18:20Z
dc.date.available2017-02-21T08:18:20Z
dc.date.issued2011-12-31
dc.identifier.issn0003-9527
dc.identifier.urihttp://hdl.handle.net/20.500.11824/585
dc.description.abstractThis work is concerned with (n-component) hyperbolic systems of balance laws in m space dimensions. First, we consider linear systems with constant coefficients and analyze the possible behavior of solutions as t → ∞. Using the Fourier transform, we examine the role that control theoretical tools, such as the classical Kalman rank condition, play. We build Lyapunov functionals allowing us to establish explicit decay rates depending on the frequency variable. In this way we extend the previous analysis by Shizuta and Kawashima under the so-called algebraic condition (SK). In particular, we show the existence of systems exhibiting more complex behavior than the one that the (SK) condition allows. We also discuss links between this analysis and previous literature in the context of damped wave equations, hypoellipticity and hypocoercivity. To conclude, we analyze the existence of global solutions around constant equilibria for nonlinear systems of balance laws. Our analysis of the linear case allows proving existence results in situations that the previously existing theory does not cover.
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.titleLarge Time Asymptotics for Partially Dissipative Hyperbolic Systems
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s00205-010-0321-y
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-78651083666&doi=10.1007%2fs00205-010-0321-y&partnerID=40&md5=d56c1b5d9c7b226d42e63662619ed9cf
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleArchive for Rational Mechanics and Analysisen_US


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