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Conservative explicit local time-stepping schemes for the shallow water equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 382, 页码: 152-176
Authors:  Hoang, Thi-Thao-Phuong;  Leng, Wei;  Ju, Lili;  Wang, Zhu;  Pieper, Konstantin
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Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity  
Well-posedness for the viscous rotating shallow water equations with friction terms 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2011, 卷号: 52, 期号: 2, 页码: 12
Authors:  Hao, Chengchun
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Local well-posedness of the viscous rotating shallow water equations with a term of capillarity 期刊论文
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2010, 卷号: 90, 期号: 6, 页码: 489-501
Authors:  Wu, Gang;  Zhang, Bo
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Rotating shallow water equations  capillarity  Fourier localization  local well-posedness  
CAUCHY PROBLEM FOR VISCOUS SHALLOW WATER EQUATIONS WITH SURFACE TENSION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2010, 卷号: 13, 期号: 3, 页码: 593-608
Authors:  Hao, Chengchun
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Shallow water equation with surface tension  Littlewood-Paley decomp  osition  homogeneous Besov space  global-in-time solution  
Cauchy problem for viscous rotating shallow water equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 247, 期号: 12, 页码: 3234-3257
Authors:  Hao, Chengchun;  Hsiao, Ling;  Li, Hai-Liang
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Viscous compressible rotating shallow water system  Cauchy problem  Global well-posedness  Besov spaces  
Well-posedness for the fifth-order shallow water equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 卷号: 246, 期号: 6, 页码: 2448-2467
Authors:  Jia, Yueling;  Huo, Zhaohui
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Fifth-order shallow water equations  Fourier restriction norm  Bilinear estimates  Trilinear estimates  Local well-posedness  
Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 卷号: 281, 期号: 2, 页码: 401-444
Authors:  Li, Hai-Liang;  Li, Jing;  Xin, Zhouping
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A steady state capturing and preserving method for computing hyperbolic systems with geometrical source terms having concentrations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2006, 卷号: 219, 期号: 1, 页码: 322-390
Authors:  Wen, Xin
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shallow water equations  nozzle flow equations  discontinuous topography  well-balanced scheme  surface gradient method  shock capturing  
An improved algebra method and its applications in nonlinear wave equations 期刊论文
CHAOS SOLITONS & FRACTALS, 2004, 卷号: 21, 期号: 4, 页码: 1013-1021
Authors:  Yan, ZY
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A Computational Approach to the New Type Solutions of Whitham-Broer-Kaup Equation in Shallow Water 期刊论文
Communications in Theoretical Physics, 2004, 卷号: 41, 期号: 2, 页码: 179
Authors:  Xie Fuding;  Gao Xiaoshan
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