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On local strong and classical solutions to the three-dimensional barotropic compressible Navier-Stokes equations with vacuum 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
Authors:  Huang, Xiangdi
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compressible Navier-Stokes equations  vacuum  strong solutions  classical solutions  
Dynamic social balance and convergent appraisals via homophily and influence mechanisms 期刊论文
AUTOMATICA, 2019, 卷号: 110, 页码: 11
Authors:  Mei, Wenjun;  Cisneros-Velarde, Pedro;  Chen, Ge;  Friedkin, Noah E.;  Bullo, Francesco
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Structural balance  Multi-agent systems  Homophily/Influence mechanisms  Nonlinear network dynamics  
Global stability of Boltzmann equation with large external potential for a class of large oscillation data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 6, 页码: 3610-3645
Authors:  Wang, Guanfa;  Wang, Yong
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Boltzmann equation  Global well-posedness  Large-amplitude initial data  Large external potential  A priori estimate  
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 卷号: 344, 页码: 323-345
Authors:  Yuan, Long;  Hu, Qiya
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Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
On the global well-posedness of 3-D axi-symmetric Navier-Stokes system with small swirl component 期刊论文
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 57, 期号: 1, 页码: 31
Authors:  Liu, Yanlin;  Zhang, Ping
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Linear Stability of Hyperbolic Moment Models for Boltzmann Equation 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 255-277
Authors:  Di, Yana;  Fan, Yuwei;  Li, Ruo;  Zheng, Lingchao
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Boltzmann equation  Grad's moment method  hyperbolic moment equation  linear stability  
Analysis of an inviscid zero-Mach number system in endpoint Besov spaces for finite-energy initial data 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 卷号: 259, 期号: 10, 页码: 5074-5114
Authors:  Fanelli, Francesco;  Liao, Xian
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Zero-Mach number system  Endpoint Besov spaces  Well-posedness  Lifespan  Parabolic equations  Transport equations  
The well-posedness issue for an inviscid zero-Mach number system in general Besov spaces 期刊论文
ASYMPTOTIC ANALYSIS, 2015, 卷号: 93, 期号: 1-2, 页码: 115-140
Authors:  Fanelli, Francesco;  Liao, Xian
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zero-Mach number system  well-posedness  Besov spaces  Chemin-Lerner spaces  continuation criterion  lifespan  
High order moment closure for Vlasov-Maxwell equations 期刊论文
Frontiers of Mathematics in China, 2015, 卷号: 10, 期号: 5, 页码: 1087
Authors:  Di Yana;  Kou Zhenzhong;  Li Ruo
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On the well-posedness for Keller-Segel system with fractional diffusion 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 卷号: 34, 期号: 14, 页码: 1739-1750
Authors:  Wu, Gang;  Zheng, Xiaoxin
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nonlinear parabolic equations  nonlinear evolution equations  fractional diffusion  Keller-Segel model  Well-posedness  Ill-posedness