成果/Result
- SOME A PRIORI ESTIMATES FOR THE HOMOGENEOUS LANDAU EQUATION WITH SOFT POTENTIALS被引量：26收藏
- 作者：Alexandre, Radjesvarane Liao, Jie Lin, Chunjin
- 机构：Arts & Metiers Paris Tech;Shanghai Jiao Tong Univ;E China Univ Sci & Technol;Hohai Univ
- 来源：KINETIC AND RELATED MODELS 2015
- 关键词：Landau equation with soft potentials weak solutions entropy dissipation weighted Fisher information moment estimates
- Global solution for a kinetic chemotaxis model with internal dynamics and its fast adaptation limit被引量：12收藏
- 作者：Liao, Jie
- 机构：E China Univ Sci & Technol
- 来源：JOURNAL OF DIFFERENTIAL EQUATIONS 2015
- 关键词：Kinetic chemotaxis model Internal dynamics Global solution Fast adaptation limit
- Global Existence and Decay Rates of the Solutions Near Maxwellian for Non-linear Fokker-Planck Equations被引量：11收藏
- 作者：Liao, Jie Wang, Qianrong Yang, Xiongfeng
- 机构：East China Univ Sci & Technol;Shanghai Jiao Tong Univ
- 来源：JOURNAL OF STATISTICAL PHYSICS 2018
- 关键词：Non-linear Fokker-Planck equation Global existence Decay rates Uniform-in-time estimates
- Wavelet kernel function based multiscale LSSVM for elliptic boundary value problems被引量：9收藏
- 作者：Dong, Lin Liao, Jie
- 机构：East China Univ Sci & Technol
- 来源：NEUROCOMPUTING 2019
- 关键词：Wavelet kernel function Least square support vector machine Multiscale Multilevel Adaptive
- STABILITY AND Lp CONVERGENCE RATES OF PLANAR DIFFUSION WAVES FOR THREE-DIMENSIONAL BIPOLAR EULER-POISSON SYSTEMS被引量：6收藏
- 作者：Li, Yeping Liao, Jie
- 机构：East China Univ Sci & Technol
- 来源：COMMUNICATIONS ON PURE AND APPLIED ANALYSIS 2019
- 关键词：Bipolar Euler-Poisson system planar diffusion wave approximate Green function energy estimates
- The stationary solution of a one-dimensional bipolar quantum hydrodynamic model被引量：5收藏
- 作者：Hu, Jing Li, Yeping Liao, Jie
- 机构：East China Univ Sci & Technol;Nantong Univ
- 来源：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2021
- 关键词：Bipolar quantum hydrodynamic model Stationary solution Existence Uniqueness
- Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier-Stokes-Poisson equation with large external force被引量：5收藏
- 作者：Li, Yeping Liao, Jie
- 机构：East China Univ Sci & Technol
- 来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2018
- 关键词：existence large external force stationary compressible Navier-Stokes-Poisson system zero-electron-mass limit
- Extended Foldy-Lax Approximation on Multiple Scattering被引量：4收藏
- 作者：Liao, Jie Ji, Chao
- 机构：E China Univ Sci & Technol
- 来源：MATHEMATICAL MODELLING AND ANALYSIS 2014
- 关键词：multiple scattering extended Foldy-Lax approximation Lippmann-Schwinger integral equation dipole effect self-interacting effect
- Existence of strong solutions to the stationary compressible Navier-Stokes-Korteweg equations with large external force被引量：4收藏
- 作者：Li, Yeping Liao, Jie
- 机构：East China Univ Sci & Technol
- 来源：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2019
- 关键词：Compressible Navier-Stokes-Korteweg equation Existence Zero mach number limit Large external force
- Foldy-Lax approximation on multiple scattering by many small scatterers被引量：4收藏
- 作者：Liao, Jie
- 机构：E China Univ Sci & Technol
- 来源：APPLICABLE ANALYSIS 2013
- 关键词：multiple scattering Foldy-Lax self-consistent system Lippmann-Schwinger integral equation 31A10 35J05 74J20
- Zero-electron-mass limit of the two-dimensional compressible Navier-Stokes-Poisson equations in bounded domain被引量：3收藏
- 作者：Li, Yeping Zhou, Gang Liao, Jie
- 机构：East China Univ Sci & Technol;Shanghai Dianji Univ
- 来源：MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2018
- 关键词：incompressible Navier-Stokes equation Navier-Stokes-Poisson equation uniform estimate zero-electron-mass limit
- Ground state solutions andmultiple solutions for a p(x)-Laplacian equation in RN with periodic data被引量：2收藏
- 作者：Ji, Chao Liao, Jie Zhang, Binlin
- 机构：East China Univ Sci & Technol;Heilongjiang Inst Technol
- 来源：COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 2017
- 关键词：p(x)-Laplacian equation variable exponent Sobolev spaces ground state solutions multiplicity of solutions Nehari manifold
- Sensitivity analysis of the non-linear Fokker-Planck equations with uncertainty被引量：2收藏
- 作者：Liao, Jie Liu, Hui
- 机构：East China Univ Sci & Technol
- 来源：NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2022
- 关键词：Non-linear Fokker-Planck equation Sensitivity analysis Random input Uniform-in-time estimates
- SYNCHRONISING AND NON-SYNCHRONISING DYNAMICS FOR A TWO-SPECIES AGGREGATION MODEL被引量：2收藏
- 作者：Emako-Kazianou, Casimir Liao, Jie Vauchelet, Nicolas
- 机构：UPMC Univ Paris 06;CNRS;INRIA Paris Rocquencourt;East China Univ Sci & Technol;Univ Paris 13
- 来源：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2017
- 关键词：Hydrodynamic limit duality solution two-species chemotaxis aggregate dynamics finite volume scheme
- A pseudo-kinetic approach for Helmholtz equation被引量：1收藏
- 作者：Alexandre, Radjesvarane Liao, Jie
- 机构：Shanghai Jiao Tong Univ;French Naval Acad;E China Univ Sci & Technol
- 来源：CHINESE ANNALS OF MATHEMATICS SERIES B 2013
- 关键词：Lattice Boltzmann scheme Non-homogeneous Helmholtz equation Discrete velocity
- Stability of Global Maxwellian for Fully Nonlinear Fokker-Planck Equations被引量：1收藏
- 作者：Liao, Jie Yang, Xiongfeng
- 机构：East China Univ Sci & Technol;Shanghai Jiao Tong Univ;Shanghai Jiao Tong Univ
- 来源：JOURNAL OF STATISTICAL PHYSICS 2021
- 关键词：Non-linear Fokker-Planck equation Macro-micro decomposition Global a priori estimates Global Maxwellian
- STABILITY OF AN EFFICIENT NAVIER-STOKES SOLVER WITH NAVIER BOUNDARY CONDITION被引量：1收藏
- 作者：Liao, Jie Wang, Xiao-Ping
- 机构：E China Univ Sci & Technol;Hong Kong Univ Sci & Technol
- 来源：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B 2012
- 关键词：Unconditional stability pressure separation Navier boundary condition
- Boundary layer analysis for the eigenvalues of hanging rod被引量：0收藏
- 作者：Liao, Jie
- 机构：E China Univ Sci & Technol
- 来源：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 2012
- 关键词：Hanging rod Eigenvalue problem Singular perturbation Boundary layer analysis
- Non-Maxwellian Kinetic Modelling of City Size Distribution被引量：0收藏
- 作者：Lijuan Yu Jie Liao
- 机构：Department of Mathematics
- 来源：应用数学与应用物理（英文） 2021
- 关键词：Variable Collision Kernel Kinetic Fokker-Planck Equation Generalized Gamma Distribution
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- 浅论复合函数序列的一致收敛性被引量：0收藏
- 作者：黎野平 廖杰
- 机构：华东理工大学数学系
- 来源：《高等数学研究》 2018
- 关键词：复合函数序列 一致收敛
- 摘要：本文给出了由一致收敛的函数序列生成的复合函数序列的一致收敛的若干结论.对每一个结论,我们都给予了严格的证明.
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- STABILITY OF GLOBAL MAXWELLIAN FOR NON-LINEAR VLASOV-POISSON-FOKKER-PLANCK EQUATIONS被引量：0收藏
- 作者：Jie LIAO Qianrong WANG Xiongfeng YANG
- 机构：Department of Mathematics;School of Mathematical Sciences;Key Laboratory of Scientific and Engineering Computing (MOE)
- 来源：数学物理学报（B辑英文版） 2019
- 关键词：non-linear Vlasov–Poisson–Fokker–Planck equation global Maxwellian global a priori estimates exponential convergence
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- The Hydrodynamic Limit of Nonlinear Fokker-Planck Equation被引量：0收藏
- 作者：Yi’ang Ren Lijuan Yu Jie Liao
- 机构：Department of Mathematics
- 来源：应用数学与应用物理（英文） 2020
- 关键词：Non-Linear Fokker-Planck Equation Macro-Micro Decomposition Fluid-Type System Viscosity Heat Diffusion
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- 函数在无穷远处极限为零的判定方法被引量：0收藏
- 作者：黎野平 廖杰
- 机构：华东理工大学数学系
- 来源：《大学数学》 2018
- 关键词：函数 无穷远极限 判定方法
- 摘要：给出了若干判断函数在无穷远处有零极限的方法,并对每种方法给予了严格的证明.
- 下载全文在线阅读
- STABILITY OF GLOBAL MAXWELLIAN FOR NON-LINEAR VLASOV-POISSON-FOKKER-PLANCK EQUATIONS被引量：0收藏
- 作者：Liao, Jie Wang, Qianrong Yang, Xiongfeng
- 机构：East China Univ Sci & Technol;Shanghai Jiao Tong Univ;Shanghai Jiao Tong Univ
- 来源：ACTA MATHEMATICA SCIENTIA 2019
- 关键词：non linear Vlasov-Poisson-Fokker-Planck equation global Maxwellian global a priori estimates exponential convergence
- A Pseudo-Kinetic Approach for Helmholtz Equation被引量：0收藏
- 作者：Radjesvarane ALEXANDRE Jie LIAO
- 机构：Department of Mathematics;IRENAV Research Institute;School of Science
- 来源：数学年刊（B辑英文版） 2013
- 关键词：亥姆霍兹方程 动力学方法 格子Boltzmann Helmholtz方程 散射问题 计算成本 动力学模型 非均匀介质
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- CONVERGENCE TO THE EQUILIBRIUM STATE FOR A BOSE-EINSTEIN 1D KAC GRAZING LIMIT MODEL被引量：0收藏
- 作者：Alexandre, Radjesvarane Liao, Jie Lin, Chunjin
- 机构：Shanghai Jiao Tong Univ;Shanghai Jiao Tong Univ;Arts & Metiers Paris Tech;E China Univ Sci & Technol;Hohai Univ
- 来源：COMMUNICATIONS IN MATHEMATICAL SCIENCES 2016
- 关键词：Quantum Kac grazing limit model relative entropy method exponential decay
