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

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Global existence and decay rates of solutions to the viscous water-waves system

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Title
Global existence and decay rates of solutions to the viscous water-waves system
Author
Bae, HantaekLee, WoojaeShin, Jaeyong
Issue Date
2022-11
Publisher
PERGAMON-ELSEVIER SCIENCE LTD
Citation
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.224, pp.113062
Abstract
In this paper, we analyze a nonlinear model of the viscous water-waves equation proposed in Dias et al. (2008). To this end, we first study the linear model in Dias et al. (2008). We then derive a new model which approximates the nonlinear model in Dias et al. (2008). We finally show the existence of a unique global-in-time solution and its decay rates to this new system with small initial data in energy spaces. (C) 2022 Elsevier Ltd. All rights reserved.
URI
https://scholarworks.unist.ac.kr/handle/201301/59082
DOI
10.1016/j.na.2022.113062
ISSN
0362-546X
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