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- Bae, Hantaek
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Global existence and decay rates of solutions to the viscous water-waves system
- Author(s)
- Bae, Hantaek, Lee, Woojae, Shin, Jaeyong
- Issued Date
- 2022-11
- 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.
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- ISSN
- 0362-546X
- Keyword (Author)
- Dias-Dyachenko-Zakharov model, Viscous water-waves, Global well-posedness, Temporal decay rates
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