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GLOBAL WELL-POSEDNESS AND EXISTENCE OF THE GLOBAL ATTRACTOR FOR THE KADOMTSEV-PETVIASHVILI II EQUATION IN THE ANISOTROPIC SOBOLEV SPACE 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 卷号: 40, 期号: 3, 页码: 1283-1307
Authors:  Kishimoto, Nobu;  Shan, Minjie;  Tsutsumi, Yoshio
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Kadomtsev-Petviashvili II equation  global well-posedness  global attractor  I-method  A-priori estimate  
Modified energy method and applications for the well-posedness for the higher-order Benjamin-Ono equation and the higher-order intermediate long wave equation 期刊论文
FORUM MATHEMATICUM, 2020, 卷号: 32, 期号: 1, 页码: 151-187
Authors:  Guo, Boling;  Huo, Zhaohui
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Well-posedness  higher-order intermediate long wave equation  higher-order Benjamin-Ono equation  modified energy  
An improved threshold dynamics method for wetting dynamics 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 392, 页码: 291-310
Authors:  Wang, Dong;  Wang, Xiao-Ping;  Xu, Xianmin
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Threshold dynamics method  Wetting  Contact point  Young's angle  Gaussian kernel  
Efficient Stochastic Galerkin Methods for Maxwell's Equations with Random Inputs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 248-267
Authors:  Fang, Zhiwei;  Li, Jichun;  Tang, Tao;  Zhou, Tao
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Maxwell's equations  Finite element method  Random inputs  Polynomial chaos methods  Stochastic Galerkin  
High energy solutions of modified quasilinear fourth-order elliptic equation 期刊论文
Boundary Value Problems, 2018, 卷号: 2018, 期号: 1
Authors:  Wang,Xiujuan;  Mao,Anmin;  Qian,Aixia
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Super-quadratic  High energy solutions  Sign-changing potential  Fountain theorem  35J25  35J20  35J60  35J61  
SOC Estimation-Based Quasi-Sliding Mode Control for Cell Balancing in Lithium-Ion Battery Packs 期刊论文
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2018, 卷号: 65, 期号: 4, 页码: 3427-3436
Authors:  Ouyang, Quan;  Chen, Jian;  Zheng, Jian;  Hong, Yiguang
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Cell balancing  lithium-ion battery  quasi-sliding mode control  state of charge (SOC)  
MODIFIED POISSON-NERNST-PLANCK MODEL WITH ACCURATE COULOMB CORRELATION IN VARIABLE MEDIA 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 78, 期号: 1, 页码: 226-245
Authors:  Liu, Pei;  Ji, Xia;  Xu, Zhenli
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charge transport  ion correlation  continuum theory for electrostatics  asymptotic expansion  Green's function  Poisson-Nernst-Planck equations  
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
Authors:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
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Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
Incorporating Born solvation energy into the three-dimensional Poisson-Nernst-Planck model to study ion selectivity in KcsA K+ channels 期刊论文
PHYSICAL REVIEW E, 2017, 卷号: 96, 期号: 6, 页码: 10
Authors:  Liu, Xuejiao;  Lu, Benzhuo
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A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
Authors:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
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A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem