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Submissions from 2024

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OPEN DIAMETER MAPS ON SUSPENSIONS, Hussam Abobaker, Włodzimierz J. Charatonik, and Robert Paul Roe

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A High-Order Multi-Resolution Wavelet Method for Nonlinear Systems of Differential Equations, Muhammad Ahsan, Weidong Lei, Martin Bohner, and Amir Ali Khan

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The Multi-resolution Haar Wavelets Collocation Procedure for Fractional Riccati Equations, Muhammad Ahsan, Weidong Lei, Amir Ali Khan, and Martin Bohner

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A Time Scale Approach for Analyzing Pathogenesis of Atl Development Associated with Htlv-1 Infection, Elvan Akın and Neslihan Nesliye Pelen

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Differential Methylation Region Detection Via an Array-Adaptive Normalized Kernelweighted Model, Daniel Alhassan, Gayla R. Olbricht, and Akim Adekpedjou

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On a Fully Coupled Nonlocal Multipoint Boundary Value Problem for a Dual Hybrid System of Nonlinear Q -Fractional Differential Equations, Ahmed Alsaedi, Martin Bohner, Bashir Ahmad, and Boshra Alharbi

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The Cubic-Quintic Nonlinear Schrödinger Equation with Inverse-Square Potential, Alex H. Ardila and Jason Murphy

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Cfirm: An Integrated Code Package for the Low-Temperature Plasma Simulation on Structured Grids, Jinwei Bai, Hongtao Liu, Xiaoming He, Wei Jiang, and Yong Cao

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Fractional P-Laplacian Elliptic Dirichlet Problems, David Barilla, Martin Bohner, Giuseppe Caristi, Fariba Gharehgazlouei, and Shapour Heidarkhani

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Three Solutions for a Discrete Fourth-Order Boundary Value Problem with Three Parameters, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Shahin Moradi

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Critical Point Approaches to Nonlinear Square Root Laplacian Equations, Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani, and Amjad Salari

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Existence of Solutions by Coincidence Degree Theory for Hadamard Fractional Differential Equations at Resonance, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, and Satyam Narayan Srivastava

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THE UNCERTAIN MALTHUSIAN MODEL on TIME SCALES, Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska, and Tri Truong

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Lipschitz Stability for Impulsive Riemann–liouville Fractional Differential Equations, Martin Bohner and Snezhana Hristova

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Generalized Periodicity and Applications to Logistic Growth, Martin Bohner, Jaqueline Mesquita, and Sabrina Streipert

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Integral Manifolds for Impulsive HCV Conformable Neural Network Models, Martin Bohner, Ivanka Stamova, Gani Stamov, and Cvetelina Spirova

EXISTENCE of SOLUTIONS for NONLINEAR IMPULSIVE MULTIPLE RETARDED DIFFERENTIAL and IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS of SECOND ORDER, Martin Bohner, Osman Tunç, and Cemil Tunç

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L∞ Bounds for Transient Growth in Repetitive and Iterative Learning Control Systems, Douglas A. Bristow and John R. Singler

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Recovery of the Nonlinearity from the Modified Scattering Map, Gong Chen and Jason Murphy

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STABILITY ESTIMATES FOR THE RECOVERY OF THE NONLINEARITY FROM SCATTERING DATA, Gong Chen and Jason Murphy

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Efficient Mini-Batch Stochastic Gradient Descent with Centroidal Voronoi Tessellation for Pde-Constrained Optimization under Uncertainty, Liuhong Chen, Meixin Xiong, Ju Ming, and Xiaoming He

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A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential, Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, and Xiaoming Wang

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Convergence Analysis of a Second Order Numerical Scheme for the Flory–Huggins–Cahn–Hilliard–Navier–Stokes System, Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, and Xiaoming Wang

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Optimal Error Estimates of a Second-order Fully Decoupled Finite Element Method for the Nonstationary Generalized Boussinesq Model, Qianqian Ding, Yuanyuan Hou, and Xiaoming He

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Phase-Field Model Of Strain Effect On Superconducting Transitions And Mesoscale Pattern Formation, Daniel Fortino, Qingguo Hong, Limin Ma, Jinchao Xu, and Long Qing Chen

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A Second-Order, Mass-Conservative, Unconditionally Stable and Bound-Preserving Finite Element Method for the Quasi-Incompressible Cahn-Hilliard-Darcy System, Yali Gao, Daozhi Han, and Xiaoming Wang

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A Fully Decoupled Numerical Method for Cahn–Hilliard–Navier–Stokes–Darcy Equations based on Auxiliary Variable Approaches, Yali Gao, Rui Li, Xiaoming He, and Yanping Lin

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Development of PIFE-PIC-ESP: Parallel Immersed Finite Element Particle-In-Cell for ElectroSpray Propulsion, Daoru Han, Guy E. Brawley, and Xiaoming He

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Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons, Wenrui Hao, Qingguo Hong, and Xianlin Jin

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Multiple Imputation For Robust Cluster Analysis To Address Missingness In Medical Data, Arnold Harder, Gayla R. Olbricht, Godwin Ekuma, Daniel B. Hier, and Tayo Obafemi-Ajayi

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TRANSMISSION OF FAST SOLITONS FOR THE NLS WITH AN EXTERNAL POTENTIAL, Christopher C. Hogan and Jason Murphy

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Multivalued Variational Inequalities with Generalized Fractional Φ-Laplacians, Vy Khoi Le

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On A Multivalued Prescribed Mean Curvature Problem And Inclusions Defined On Dual Spaces, Vy Khoi Le

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VARIATIONAL DATA ASSIMILATION and its DECOUPLED ITERATIVE NUMERICAL ALGORITHMS for STOKES-DARCY MODEL, Xuejian Li, Wei Gong, Xiaoming He, and Tao Lin

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Small Darcy Number Limit Of The Navier-Stokes-Darcy System, Wenqi Lyu and Xiaoming Wang

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Global Dynamics Below Excited Solitons for the Non-Radial NLS with Potential, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata

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Maximum Likelihood Estimation for Generalized Inflated Power Series Distributions, Robert L. Paige

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Statistical Modeling of Right-Censored Spatial Data using Gaussian Random Fields, Fathima Z. Sainul Abdeen, Akim Adekpedjou, and Sophie Dabo Niang

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Bad Stats: A Regular Series Exploring Slip-Ups, Snafus and Salutary Lessons from the World of Statistics: The Wakefield Study and the Autism Debate, V. A. Samaranayake

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The Challenger Disaster: A Major Malfunction of Statistical Reasoning, V. A. Samaranayake

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Mesenchymal Stem Cells in Autoimmune Disease: A Systematic Review and Meta-analysis of Pre-clinical Studies, Hailey N. Swain, Parker D. Boyce, Bradley A. Bromet, Kaiden Barozinksy, Lacy Hance, Dakota Shields, Gayla R. Olbricht, and Julie A. Semon

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Thermal Performance Of Forced Convection Of Water- NEPCM Nanofluid Over A Semi-Cylinder Heat Source, Xiaoming Wang, Rassol H. Rasheed, Babak Keivani, Dheyaa J. Jasim, Abbas J. Sultan, Sajad Hamedi, Hamed Kazemi-Varnamkhasti, Soheil Salahshour, and Davood Toghraie

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PARAMETRIC MODEL REDUCTION with CONVOLUTIONAL NEURAL NETWORKS, Yumeng Wang, Shiping Zhou, and Yanzhi Zhang

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An Immersed Selective Discontinuous Galerkin Method In Particle-in-cell Simulation With Adaptive Cartesian Mesh And Polynomial Preserving Recovery, Siyu Wu, Jinwei Bai, Xiaoming He, Ren Zhao, and Yong Cao

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Variable-Order Fractional Laplacian And Its Accurate And Efficient Computations With Meshfree Methods, Yixuan Wu and Yanzhi Zhang

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Time Scale Theory On Stability Of Explicit And Implicit Discrete Epidemic Models: Applications To Swine Flu Outbreak, Gülşah Yeni, Elvan Akın, and Naveen K. Vaidya

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A New Reduced Basis Method for Parabolic Equations based on Single-Eigenvalue Acceleration, Qijia Zhai, Qingguo Hong, and Xiaoping Xie

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Cell-Average based Neural Network Method for Hunter-Saxton Equations, Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, and Xiaoming He

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A UNIFIED FRAMEWORK of the SAV-ZEC METHOD for a MASS-CONSERVED ALLEN-CAHN TYPE TWO-PHASE FERROFLUID FLOW MODEL, Guo Dong Zhang, Xiaoming He, and Xiaofeng Yang

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A Novel and Simple Spectral Method for Nonlocal Pdes with the Fractional Laplacian, Shiping Zhou and Yanzhi Zhang

Submissions from 2023

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RANK-BASED INFERENCE FOR SURVEY SAMPLING DATA, Akim Adekpedjou and Huybrechts F. Bindele

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A Haar Wavelet Multi-Resolution Collocation Method for Singularly Perturbed Differential Equations with Integral Boundary Conditions, Muhammad Ahsan, Martin Bohner, Aizaz Ullah, Amir Ali Khan, and Sheraz Ahmad

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Fractal Newton Methods, Ali Akgül and David E. Grow

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A Logarithm On Time Scales And Its Uses, Douglas R. Anderson, Martin Bohner, and Guo Cheng Wu

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Threshold Solutions For The 3d Cubic-quintic NLS, Alex H. Ardila and Jason Murphy

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WEIGHTED DYNAMIC ESTIMATES FOR CONVEX AND SUBHARMONIC FUNCTIONS ON TIME SCALES, Hira Ashraf Baig, Martin Bohner, Naveed Ahmad, and Muhammed Shoaib Saleem

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Dynamic Equations, Control Problems On Time Scales, And Chaotic Systems, Martin Bohner

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POST-QUANTUM HERMITE-JENSEN-MERCER INEQUALITIES, Martin Bohner, Hüseyin Budak, and Hasan Kara

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Three Solutions For Discrete Anisotropic Kirchhoff-type Problems, Martin Bohner, Giuseppe Caristi, Ahmad Ghobadi, and Shapour Heidarkhani

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Uniqueness For An Inverse Quantum-Dirac Problem With Given Weyl Function, Martin Bohner and Ayça Çetinkaya

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Vallée-Poussin Theorem for Hadamard Fractional Functional Differential Equations, Martin Bohner, Alexander Domoshnitsky, Elena Litsyn, Seshadev Padhi, and Satyam Narayan Srivastava

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Vallée-Poussin Theorem For Equations With Caputo Fractional Derivative, Martin Bohner, Alexander Domoshnitsky, Seshadev Padhi, and Satyam Narayan Srivastava

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OSCILLATION of SECOND-ORDER HALF-LINEAR NEUTRAL NONCANONICAL DYNAMIC EQUATIONS, Martin Bohner, Hassan El-Morshedy, Said Grace, and Irena Jadlovská

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Inequalities For Interval-valued Riemann Diamond-alpha Integrals, Martin Bohner, Linh Nguyen, Baruch Schneider, and Tri Truong

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On H-Manifolds Stability for Impulsive Delayed SIR Epidemic Models, Martin Bohner, Gani Stamov, Ivanka Stamova, and Cvetelina Spirova

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On The Fundamental Qualitative Properties Of Integro-delay Differential Equations, Martin Bohner, Osman Tunç, and Erdal Korkmaz

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Optical Characterization of Boron Carbide Powders Synthesized with Varying B-To-C Ratios, Harlan J. Brown-Shaklee, Eric W. Neuman, William Fahrenholtz, and Gregory E. Hilmas

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THRESHOLD SOLUTIONS FOR THE INTERCRITICAL INHOMOGENEOUS NLS, Luccas Campos and Jason Murphy

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Averaging For The 2 D Dispersion-managed NLS, Luccas Campos, Jason Murphy, and Tim Van Hoose

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The Infinite Schmidt Number Limit of the Salt Fingering Convection Model and the Inertial Free Salt Convection Model, Yining Cao, Xiaoming Wang, and Jin Han Xie

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Multi-valued variational inequalities in unbounded domains: existence, comparison and extremal solutions, Siegfried Carl and Vy Khoi Le

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Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations, John Carter, Daozhi Han, and Nan Jiang

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Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik

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Metrizable Subspaces of Representation Spaces, Włodzimierz J. Charatonik, Matt Insall, and Daria Michalik

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A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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A New Global Divergence Free and Pressure-Robust Hdg Method for Tangential Boundary Control of Stokes Equations, Gang Chen, Wei Gong, Mariano Mateos, John R. Singler, and Yangwen Zhang

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ON the SUPERCONVERGENCE of a HYBRIDIZABLE DISCONTINUOUS GALERKIN METHOD for the CAHN-HILLIARD EQUATION, Gang Chen, Daozhi Han, John R. Singler, and Yangwen Zhang

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Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz

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Discrete Matrix Hypergeometric Functions, Tom Cuchta, David E. Grow, and Nick Wintz

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Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao

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Error Analysis of a Fully Discrete Projection Method for Magnetohydrodynamic System, Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao

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A New Approach to Proper Orthogonal Decomposition with Difference Quotients, Sarah Locke Eskew and John R. Singler

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Network Structures and the Properties of Na-Ca-Sr-Borophosphate Glasses, Parker T. Freudenberger, Rebekah L. Blatt, Randall E. Youngman, and Richard K. Brow

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Fully Decoupled Energy-stable Numerical Schemes For Two-phase Coupled Porous Media And Free Flow With Different Densities And Viscosities, Yali Gao, Xiaoming He, Tao Lin, and Yanping Lin

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Trilinear Immersed-Finite-Element Method For Three-Dimensional Anisotropic Interface Problems In Plasma Thrusters, Yajie Han, Guangqing Xia, Chang Lu, and Xiaoming He

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Recovery of a Cubic Nonlinearity for the Nonlinear Schrödinger Equation, Christopher C. Hogan, Jason Murphy, and David E. Grow

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Characterization of Virgin, Re-Used, and Oxygen-Reduced Copper Powders Processed by the Plasma Spheroidization Process, M. Hossein Sehhat, David Perez-Palomino, Connor Wiedemeier, Tristan Cullom, and Joseph William Newkirk

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Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier–Stokes Flow, Jiangyong Hou, Dan Hu, Xuejian Li, and Xiaoming He

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THE SCATTERING MAP DETERMINES THE NONLINEARITY, Rowan Killip, Jason Murphy, and Monica Visan

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On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le

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On Variational Inequalities on Exterior Domains with Multivalued Convection Terms, Vy Khoi Le

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Variable-Dependent Partial Dimension Reduction, Lu Li, Kai Tan, Xuerong Meggie Wen, and Zhou Yu

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Variable-Dependent Partial Dimension Reduction, Lu Li, Kai Tan, Xuerong Meggie Wen, and Zhou Yu

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A Dynamic Mass Transport Method For Poisson-Nernst-Planck Equations, Hailiang Liu and Wumaier Maimaitiyiming

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Kinetic Particle Simulations Of Plasma Charging At Lunar Craters Under Severe Conditions, David Lund, Xiaoming He, and Daoru Frank Han

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Regularity of the Stokes-Darcy System, Wenqi Lyu and Xiaoming Wang

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Particle Migration in Large Cross-Section Ceramic On-Demand Extrusion Components, Austin J. Martin, Wenbin Li, Jeremy Lee Watts, Gregory E. Hilmas, Ming-Chuan Leu, and Tieshu Huang

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ASYMPTOTIC STABILITY of SOLITARY WAVES for the 1d NLS with an ATTRACTIVE DELTA POTENTIAL, Satoshi Masaki, Jason Murphy, and Jun Ichi Segata

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Threshold Scattering For The Focusing NLS With A Repulsive Potential, Changxing Miao, Jason Murphy, and Jiqiang Zheng

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Anisotropic Thermal Expansion in High-Entropy Multicomponent Alb2-Type Diboride Solid Solutions, Frédéric Monteverde, Mattia Gaboardi, Federico Saraga, Lun Feng, William Fahrenholtz, and Gregory Hilmas