Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 곽철광 | * |
dc.date.accessioned | 2022-08-12T16:31:09Z | - |
dc.date.available | 2022-08-12T16:31:09Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 1040-7294 | * |
dc.identifier.other | OAK-32188 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/262340 | - |
dc.description.abstract | In this paper, we consider the Cauchy problem for (abcd)-Boussinesq system posed on one- and two-dimensional Euclidean spaces. This model, initially introduced by Bona et al. (J Nonlinear Sci 12:283–318, 2002, Nonlinearity 17:925–952, 2004), describes a small-amplitude waves on the surface of an inviscid fluid, and is derived as a first order approximation of incompressible, irrotational Euler equations. We mainly establish the ill-posedness of the system under various parameter regimes, which generalize the result of one-dimensional BBM–BBM case by Chen and Liu (Anal Math 121:299–316, 2013). Among results established here, we emphasize that the ill-posedness result for two-dimensional BBM–BBM system is optimal. The proof follows from an observation of the high to low frequency cascade present in nonlinearity, motivated by Bejenaru and Tao (J Funct Anal 233:228–259, 2006). © 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature. | * |
dc.language | English | * |
dc.publisher | Springer | * |
dc.subject | abcd | * |
dc.subject | BBM-BBM | * |
dc.subject | Boussinesq system | * |
dc.subject | Ill-posed | * |
dc.subject | KdV-KdV | * |
dc.title | Ill-Posedness Issues on (abcd)-Boussinesq System | * |
dc.type | Article | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Journal of Dynamics and Differential Equations | * |
dc.identifier.doi | 10.1007/s10884-022-10189-4 | * |
dc.identifier.scopusid | 2-s2.0-85134665895 | * |
dc.author.google | Kwak C. | * |
dc.author.google | Maulén C. | * |
dc.contributor.scopusid | 곽철광(55832871300) | * |
dc.date.modifydate | 20240311125607 | * |