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Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
Authors:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
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Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Weighted L-2 Approximation of Analytic Sections 期刊论文
JOURNAL OF GEOMETRIC ANALYSIS, 2022, 卷号: 32, 期号: 2, 页码: 17
Authors:  Li, Zhi;  Zhou, Xiangyu
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Weighted approximation  L-2-estimates for partial derivative-equation  Bergman spaces  Multiplier ideal sheaves  
A sine-type Camassa-Holm equation: local well-posedness, Holder continuity, and wave-breaking analysis 期刊论文
MONATSHEFTE FUR MATHEMATIK, 2022, 页码: 38
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
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Sine-type Camassa-Holm equation  Well-posedness  Holder continuity  Blow-up criterion and quantity  Wave breaking  
The Cauchy Problem and Multi-peakons for the mCH-Novikov-CH Equation with Quadratic and Cubic Nonlinearities 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 60
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
Favorite  |  View/Download:45/0  |  Submit date:2022/04/02
mCH-Novikov-CH equation  Wave breaking  Local well-posedness  Holder continuity  Non-periodic and periodic peakon and multi-peakon solutions  
On Ill- and Well-Posedness of Dissipative Martingale Solutions to Stochastic 3D Euler Equations 期刊论文
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2021, 页码: 65
Authors:  Hofmanova, Martina;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:52/0  |  Submit date:2022/04/02
Global well-posedness and large-time behavior of 1D compressible Navier-Stokes equations with density-depending viscosity and vacuum in unbounded domains 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 卷号: 64, 期号: 6, 页码: 1231-1244
Authors:  Li, Kexin;  Lu, Boqiang;  Wang, Yixuan
Favorite  |  View/Download:58/0  |  Submit date:2021/10/26
1D compressible Navier-Stokes equations  global well-posedness  large initial data  vacuum  density-depending viscosity  
Deterministic and stochastic 2D Navier-Stokes equations with anisotropic viscosity 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 275, 页码: 473-508
Authors:  Liang, Siyu;  Zhang, Ping;  Zhu, Rongchan
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Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
Authors:  Rockner, Michael;  Sun, Xiaobin;  Xie, Yingchao
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Averaging principle  McKean-Vlasov stochastic differential equations  Slow-fast  Poisson equation  Strong convergence order  
Proximal-Like Incremental Aggregated Gradient Method with Linear Convergence Under Bregman Distance Growth Conditions 期刊论文
MATHEMATICS OF OPERATIONS RESEARCH, 2021, 卷号: 46, 期号: 1, 页码: 61-81
Authors:  Zhang, Hui;  Dai, Yu-Hong;  Guo, Lei;  Peng, Wei
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incremental aggregated gradient  linear convergence  Lipschitz-like/convexity  relative smoothness  Bregman distance growth  
STABILITY OF CONICAL SHOCKS IN THE THREE-DIMENSIONAL STEADY SUPERSONIC ISOTHERMAL FLOWS PAST LIPSCHITZ PERTURBED CONES 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 卷号: 53, 期号: 3, 页码: 2811-2862
Authors:  Chen, Gui-Qiang G.;  Kuang, Jie;  Zhang, Yongqian
Favorite  |  View/Download:62/0  |  Submit date:2021/10/26
conical shocks  structural stability  steady flow  supersonic isothermal flow  perturbed cones  Lipschitz cones  entropy solutions  BV  modified Glimm scheme  TV  Glimm-type functional  self-similar solutions  interaction estimates  reflection coefficients  free boundary  asymptotic behavior