BROWSE

Related Researcher

Author's Photo

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

ITEM VIEW & DOWNLOAD

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

DC Field Value Language
dc.contributor.author Bae, Hantaek ko
dc.contributor.author Lee, Woojae ko
dc.contributor.author Shin, Jaeyong ko
dc.date.available 2021-10-29T00:49:05Z -
dc.date.created 2021-10-22 ko
dc.date.issued 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 https://scholarworks.unist.ac.kr/handle/201301/54604 -
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.publisher PERGAMON-ELSEVIER SCIENCE LTD 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 https://www.sciencedirect.com/science/article/pii/S1468121821001279?via%3Dihub ko
Appears in Collections:
MTH_Journal Papers

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show simple item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU