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ON GLOBAL EXISTENCE AND BLOW-UP FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2019, 卷号: 24, 期号: 12, 页码: 6837-6854
Authors:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
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Stochastic nonlinear Schrodinger equation  multiplicative noise  global existence  blow-up  exponential integrability  
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  
On the Global Well-Posedness of 3-D Boussinesq System with Variable Viscosity 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2019, 卷号: 40, 期号: 5, 页码: 643-688
Authors:  Abidi, Hammadi;  Zhang, Ping
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Boussinesq systems  Littlewood-Paley theory  Variable viscosity  Maximal regularity of heat equation  
Optimal regularity of stochastic evolution equations in M-type 2 Banach space 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 267, 期号: 3, 页码: 1955-1971
Authors:  Hong, Jialin;  Huang, Chuying;  Liu, Zhihui
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Stochastic evolution equation  Multiplicative noise  Well-posedness  Trajectory regularity  Factorization method  
Global strong solutions to 3-D Navier-Stokes system with strong dissipation in one direction 期刊论文
SCIENCE CHINA-MATHEMATICS, 2019, 卷号: 62, 期号: 6, 页码: 1175-1204
Authors:  Paicu, Marius;  Zhang, Ping
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anisotropic Navier-Stokes equations  Littlewood-Paley theory  well-posedness  35Q30  76D03  
Well-posedness and optimal regularity of stochastic evolution equations with multiplicative noises 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 8, 页码: 4712-4745
Authors:  Hong, Jialin;  Liu, Zhihui
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Stochastic evolution equation  Multiplicative noise  Trajectory regularity  Factorization method  Gronwall inequality with singular kernel  
Global Regularity of 2D Density Patches for Viscous Inhomogeneous Incompressible Flow with General Density: Low Regularity Case 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2019, 卷号: 72, 期号: 4, 页码: 835-884
Authors:  Liao, Xian;  Zhang, Ping
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The Boltzmann equation with large-amplitude initial data in bounded domains 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 343, 页码: 36-109
Authors:  Duan, Renjun;  Wang, Yong
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Boltzmann equation  Global well-posedness  Bounded domain  Large-amplitude initial data  Diffuse reflection boundary  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  
Global Well-Posedness of 3D Axisymmetric MHD System with Pure Swirl Magnetic Field 期刊论文
ACTA APPLICANDAE MATHEMATICAE, 2018, 卷号: 155, 期号: 1, 页码: 21-39
Authors:  Liu, Yanlin
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Axisymmetric  MHD  Critical spaces  Mild solutions  Littlewood-Paley Theory