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Kwon, Bongsuk
Partial Differential Equations and their applications
Research Interests
  • Partial differential equations, hyperbolic conservation laws, stability of nonlinear waves

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Stability of planar shock fronts for multidimensional systems of relaxation equations

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dc.contributor.author Kwon, Bongsuk ko
dc.date.available 2014-11-14T00:09:32Z -
dc.date.created 2014-11-12 ko
dc.date.issued 2011-10 ko
dc.identifier.citation JOURNAL OF DIFFERENTIAL EQUATIONS, v.251, no.8, pp.2226 - 2261 ko
dc.identifier.issn 0022-0396 ko
dc.identifier.uri https://scholarworks.unist.ac.kr/handle/201301/8687 -
dc.description.abstract We investigate stability of multidimensional planar shock profiles of a general hyperbolic relaxation system whose equilibrium model is a system, under the necessary assumption of spectral stability and a standard set of structural conditions that are known to hold for many physical systems. Our main result, generalizing the work of Kwon and Zumbrun in the scalar relaxation case, is to establish the bounds on the Green's function for the linearized equation and obtain nonlinear L2 asymptotic behavior/sharp decay rate of perturbed weak shock profiles. To establish Green's function bounds, we use the semigroup approach in the low-frequency regime, and use the energy method for the high-frequency bounds, separately. For the system equilibrium case, the analysis of the linearized equation is complicated due to glancing phenomena. We treat this difficulty similarly as in the inviscid and viscous systems, under the constant multiplicity condition. ko
dc.description.statementofresponsibility close -
dc.language 영어 ko
dc.publisher ACADEMIC PRESS INC ELSEVIER SCIENCE ko
dc.title Stability of planar shock fronts for multidimensional systems of relaxation equations ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-79960907717 ko
dc.identifier.wosid 000294084800011 ko
dc.type.rims ART ko
dc.description.wostc 0 *
dc.description.scopustc 0 *
dc.date.tcdate 2015-05-06 *
dc.date.scptcdate 2014-11-12 *
dc.identifier.doi 10.1016/j.jde.2011.07.007 ko
dc.identifier.url http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=79960907717 ko
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