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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 1
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Original Articles

Global existence and local well-posedness of the 2D viscous shallow water system in Sobolev spaces

Yanan LiuDepartment of Mathematics, Sun Yat-sen University, Guangzhou510275, China.View further author information
&
Zhaoyang YinDepartment of Mathematics, Sun Yat-sen University, Guangzhou510275, China.;Faculty of Information Technology, Macau University of Science and Technology, Macau, China.Correspondence[email protected]
View further author information
Pages 78-96 | Received 05 Aug 2014, Accepted 10 Dec 2014, Published online: 07 Jan 2015

Citations (9)

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Jinlu Li & Zhaoyang Yin. (2018) Global well-posedness for the viscous shallow water system with Korteweg type. Applicable Analysis 97:16, pages 2865-2879.
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Articles from other publishers (8)

Qionglei Chen & Yao Nie. (2023) Ill-posedness issue for the 2D viscous shallow water equations in some critical Besov spaces. Journal of Differential Equations 376, pages 71-101.
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Oana Lang, Dan Crisan & Étienne Mémin. (2023) Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty. Journal of Mathematical Fluid Mechanics 25:2.
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Jinlu Li, Yanghai Yu & Weipeng Zhu. (2022) Nonuniform dependence on initial data for the 2D viscous shallow water equations. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 102:6.
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Chunfang Gao & Pengtao Li. (2022) The Herz-Boundedness of Commutators Related to Schrödinger Operators in the Setting of Heisenberg Group. Bulletin of the Malaysian Mathematical Sciences Society 45:3, pages 1213-1240.
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Jinlu Li, Pingzhou Hong & Weipeng Zhu. (2020) Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces. Journal of Evolution Equations 20:4, pages 1287-1299.
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Ben Duan, Zhen Luo & Yan Zhou. (2019) Existence of strong solutions to the rotating shallow water equations with degenerate viscosities. Analysis and Applications 18:02, pages 333-358.
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Ben Duan, Zhen Luo & Wei Yan. (2019) Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity. Zeitschrift für angewandte Mathematik und Physik 70:2.
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Yue Hu & Yueshan Wang. (2017) Hardy type estimates for Riesz transforms associated with Schrödinger operators. Analysis and Mathematical Physics 9:1, pages 275-287.
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