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Bae, Hantaek
School of Natural Science
Research Interests
  • Fluid dynamics, polymeric fluid, kinetic theory


Gevrey regularity and finite time singularities for the Kakutani-Matsuuchi model

DC Field Value Language Bae, Hantaek ko Lee, Woojae ko Shin, Jaeyong ko 2021-10-29T00:49:05Z - 2021-10-22 ko 2022-02 ko
dc.identifier.citation NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v.63, pp.103415 ko
dc.identifier.issn 1468-1218 ko
dc.identifier.uri -
dc.description.abstract In this paper, we deal with the Kakutani-Matsuuchi model which describes the surface elevation eta of the water-waves under the effect of viscosity. We first derive the decay rate of weak solutions. This can be used to obtain the decay rate of parallel to eta(t)parallel to (<(H)over dot>1) when initial data is sufficiently small in <(H)over dot>(1). We next show the existence, uniqueness, Gevrey regularity and decay rates of eta with sufficiently small initial data in B-2,1(1). To do so, we derive a commutator estimate involving Gevrey operator. We then apply our method to the supercritical quasi-geostrophic equations. We finally show the formation of singularities of smooth solutions in finite time for a certain class of initial data . (C) 2021 Elsevier Ltd. All rights reserved. ko
dc.language 영어 ko
dc.title Gevrey regularity and finite time singularities for the Kakutani-Matsuuchi model ko
dc.type ARTICLE ko
dc.identifier.scopusid 2-s2.0-85114400980 ko
dc.identifier.wosid 000701818600008 ko
dc.type.rims ART ko
dc.identifier.doi 10.1016/j.nonrwa.2021.103415 ko
dc.identifier.url ko
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