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


Large-time behavior of solutions to an outflow problem for a shallow water model

DC Field Value Language Kwon, Bongsuk ko Suzuki, Masahiro ko Takayama, Masahiro ko 2014-04-10T01:57:19Z - 2013-07-04 ko 2013-10 ko
dc.identifier.citation JOURNAL OF DIFFERENTIAL EQUATIONS, v.255, no.7, pp.1883 - 1904 ko
dc.identifier.issn 0022-0396 ko
dc.identifier.uri -
dc.description.abstract We investigate the existence and the time-asymptotic stability of boundary layer solutions for a one-dimensional shallow water model. Under the subsonic condition on the far-field equilibrium state, we show that there exists a one-parameter family of boundary layer solutions satisfying the outflow constant-flux boundary condition. We also show that there is a unique time-asymptotic boundary layer profile for a given initial data, and prove its stability using standard energy methods, provided that the initial perturbation is sufficiently small. Our stability result is obtained without the zero mass condition nor "artificial" condition on the profile strength. Rather the time-asymptotic profile is determined alone by the initial perturbation from the end state so that it satisfies the zero mass condition and its amplitude is appropriately small simultaneously. ko
dc.description.statementofresponsibility close -
dc.language 영어 ko
dc.title Large-time behavior of solutions to an outflow problem for a shallow water model ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-84880506912 ko
dc.identifier.wosid 000322092900019 ko
dc.type.rims ART ko
dc.description.scopustc 0 * 2013-07-20 *
dc.identifier.doi 10.1016/j.jde.2013.05.025 ko
dc.identifier.url ko
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