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Central limit theorem and moderate deviation principle for stochastic scalar conservation laws 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 516, 期号: 1, 页码: 26
Authors:  Wu, Zhengyan;  Zhang, Rangrang
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Stochastic scalar conservation laws  Weak convergence method  Doubling of variables method  Central limit theorem  Moderate deviation principle  Kinetic solution  
On the Negative Limit of Viscosity Solutions for Discounted Hamilton-Jacobi Equations 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2022, 页码: 19
Authors:  Wang, Ya-Nan;  Yan, Jun;  Zhang, Jianlu
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Discounted Hamilton-Jacobi equation  Viscosity solution  Conjugated weak KAM solutions  Aubry Mather sets  Mane's genericity  
L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING 期刊论文
ACTA MATHEMATICA SCIENTIA, 2022, 卷号: 42, 期号: 6, 页码: 2505-2522
Authors:  Geng, Shifeng;  Huang, Feimin;  Wu, Xiaochun
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L-2-convergence  compressible Euler Equations  time asymptotic expansion  time-dependent damping  relative entropy inequality  
Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
Authors:  Ren, Han-Jing;  Guo, Bao-Zhu
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Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
Time decay rate of solutions toward the viscous shock waves to the Cauchy problem for the scalar conservation law with nonlinear viscosity and discontinuous initial data 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2022, 卷号: 222, 页码: 14
Authors:  Liu, Yechi
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Viscous conservation law  Asymptotic behavior  Time decay rate  Viscous shock wave  Discontinuous initial data  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
Authors:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
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Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
Orbital stability of peakon solutions for a generalized higher-order Camassa-Holm equation 期刊论文
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 卷号: 73, 期号: 3, 页码: 19
Authors:  Qin, Guoquan;  Yan, Zhenya;  Guo, Boling
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Generalized higher-order CH equation  Peakons  Conserved quantities  Orbital stability  
STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
Authors:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
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   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
Authors:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
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density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
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