Blowup of Solutions to the Two-Component Dullin–Gottwald–Holm System
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-018-0672-3
Abstract: In this paper, we establish a new blow-up criterion for the two-component Dullin–Gottwald–Holm system. We show that strong solutions must blowup in finite time if the integral concerning initial momentum changes sign at some point… read more here.
Keywords: dullin gottwald; holm system; gottwald holm; component dullin ... See more keywords
Non-uniform continuity of the solution map to the rotation-two-component Camassa-Holm system
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DOI: 10.1016/j.jde.2019.10.021
Abstract: Abstract Studied in this paper is the rotation-two-component Camassa-Holm system, which can be considered as a model for the propagation of long-crested shallow-water waves in the equatorial ocean regions with the weak Coriolis effect due… read more here.
Keywords: component camassa; camassa holm; holm system; rotation ... See more keywords
Breaking waves and persistence property for a two-component Camassa–Holm system
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DOI: 10.1016/j.jmaa.2016.08.035
Abstract: Abstract In this paper, we study a two-component Camassa–Holm system modeling shallow water waves moving over a linear shear flow. Some new blow-up results and a persistence property in weighted L p space are established. read more here.
Keywords: component camassa; camassa holm; holm system; persistence property ... See more keywords
Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system
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DOI: 10.1016/j.jmaa.2021.125423
Abstract: Abstract In this paper, the Cauchy problem of an n-component Camassa–Holm system is considered. The local well-posedness in the critical Besov space ( B 2 , 1 3 2 ) n is established, and it… read more here.
Keywords: camassa holm; system; component camassa; holm system ... See more keywords