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Global Solutions of the Compressible Euler Equations with Large Initial Data of Spherical Symmetry and Positive Far-Field Density 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 3, 页码: 1699-1771
Authors:  Chen, Gui-Qiang G.;  Wang, Yong
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Vanishing viscosity limit of the compressible Navier-Stokes equations with finite energy and total mass 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 310, 页码: 327-361
Authors:  He, Lin;  Wang, Yong
Favorite  |  View/Download：76/0  |  Submit date：2022/04/02
Euler equations  Navier-Stokes equations  Vanishing viscosity  Compensated compactness framework  Free boundary  Density-dependent viscosity  
Wave Phenomena to the Three-Dimensional Fluid-Particle Model 期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2022, 卷号: 243, 期号: 2, 页码: 1019-1089
Authors:  Li, Hai-Liang;  Wang, Teng;  Wang, Yi
Favorite  |  View/Download：63/0  |  Submit date：2022/04/02
Parallel exponential time differencing methods for geophysical flow simulations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 387, 页码: 24
Authors:  Lan, Rihui;  Leng, Wei;  Wang, Zhu;  Ju, Lili;  Gunzburger, Max
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Shallow water equations  Primitive equations  Exponential time differencing  Parallel computing  Barotropic/baroclinic splitting  
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
Favorite  |  View/Download：114/0  |  Submit date：2019/04/02
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
Favorite  |  View/Download：71/0  |  Submit date：2018/07/30
Fifth-order shallow water equations  Fourier restriction norm  Bilinear estimates  Trilinear estimates  Local well-posedness