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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
- 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
