2021 Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations
Xiaopeng Zhao
Topol. Methods Nonlinear Anal. 57(2): 397-412 (2021). DOI: 10.12775/TMNA.2020.045

Abstract

In this paper, based on the parabolic interpolation inequality and inductive argument, we study the space-time decay estimates of higher-order time and spatial derivatives of strong solutions for the 3D incompressible viscous Camassa-Holm equations provided that the initial datum is well localized.

Citation

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Xiaopeng Zhao. "Space-time decay estimates of solutions to 3D incompressible viscous Camassa-Holm equations." Topol. Methods Nonlinear Anal. 57 (2) 397 - 412, 2021. https://doi.org/10.12775/TMNA.2020.045

Information

Published: 2021
First available in Project Euclid: 4 August 2021

MathSciNet: MR4359718
zbMATH: 1477.35188
Digital Object Identifier: 10.12775/TMNA.2020.045

Keywords: parabolic interpolation inequality , Space-time decay , viscous Camassa-Holm equations , weighted estimates

Rights: Copyright © 2021 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.57 • No. 2 • 2021
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