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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  
Local uniqueness of vortices for 2D steady Euler flow in a bounded domain 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 卷号: 283, 期号: 9, 页码: 43
Authors:  Cao, Daomin;  Yu, Weilin;  Zou, Changjun
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The steady Euler equation  Kirchhoff-Routh function  Local uniqueness  Nonlinear stability  
Improve Robustness and Accuracy of Deep Neural Network with L-2,L-infinity Normalization 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 页码: 26
Authors:  Yu Lijia;  Gao Xiao-Shan
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Deep neural network  global robustness measure  L-2,L-infinity  normalization  over-fitting  Rademacher complexity  smooth DNN  
On the Radius of Analyticity of Solutions to 3D Navier-Stokes System with Initial Data in L-p 期刊论文
CHINESE ANNALS OF MATHEMATICS SERIES B, 2022, 卷号: 43, 期号: 5, 页码: 749-772
Authors:  Hu, Ruilin;  Zhang, Ping
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Incompressible Navier-Stokes equations  Radius of analyticity  Littlewood-Paley theory  
GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF THE QUANTUM BOLTZMANN EQUATION WITH SMALL RELATIVE ENTROPY 期刊论文
KINETIC AND RELATED MODELS, 2022, 页码: 45
Authors:  Wang, Yong;  Xiao, Changguo;  Zhang, Yinghui
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Quantum Boltzmann equation  large amplitude initial data  global existence  fermions  bosons  large time behavior  
Normalized solutions of mass subcritical Schrodinger equations in exterior domains 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2022, 卷号: 29, 期号: 3, 页码: 25
Authors:  Zhang, Zexin;  Zhang, Zhitao
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Normalized solution  Critical point  Minimax theorem  Schrodinger equation  Exterior domain  
The invariance principle for nonlinear Fokker-Planck equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 200-221
Authors:  Barbu, Viorel;  Rockner, Michael
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Fokker-Planck equation  McKean-Vlasov equations  Generalized solution  Nonlinear semigroup  
5 The least squares estimator of random variables under convex operators on L-F(infinity) (mu) space 期刊论文
STATISTICS & PROBABILITY LETTERS, 2022, 卷号: 181, 页码: 7
Authors:  Sun, Chuanfeng;  Ji, Shaolin;  Kong, Chuiliu
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Least squares estimator  Conditional expectation  Convex operator  Minimax theorem  
Normalized solutions to Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 506, 期号: 1, 页码: 19
Authors:  Yun, Zhaoyang;  Zhang, Zhitao
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Nonlinear Schrodinger systems  Normalized solutions  Ekland variational principle  Minimax principle  
Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 5, 页码: 2421-2443
Authors:  Wei, Changkun;  Yang, Jiaqing;  Zhang, Bo
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Well-posedness  stability  time-domain electromagnetic scattering  uniaxial PML  exponential convergence