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• Properties of Solutions of $n$-Dimensional Incompressible Navier-Stokes Equations

  Linghai Zhang

  2020-08-24

  40012 3893 Pages:392-448

• The Improved Fourier Splitting Method and Decay Estimates of the Global Solutions of the Cauchy Problems for Nonlinear Systems of Fluid Dynamics Equations

  Linghai Zhang

  2022-06-21

  25404 2851 Pages:396-417

• New Proofs of the Decay Estimate with Sharp Rate of the Global Weak Solution of the $n$-Dimensional Incompressible Navier-Stokes Equations

  Linghai Zhang

  2022-06-17

  24127 2772 Pages:416-438

• Energy Equality for the Isentropic Compressible Navier-Stokes Equations Without Upper Bound of the Density

  Yulin Ye, Yanqing Wang, Huan Yu

  2024-09-26

  13726 1335 Pages:285-313

• Error Analysis of the Nonconforming $P_1$ Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations

  Yanming Lai, Kewei Liang, Ping Lin, Xiliang Lu, Qimeng Quan

  2024-02-29

  20109 2374 Pages:43-70

• Optimal Decay Rate of the Compressible Quantum Navier-Stokes Equations

  Xueke Pu, Boling Guo

  2022-06-21

  24932 2766 Pages:275-287

• Mesh-Free Interpolant Observables for Continuous Data Assimilation

  Animikh Biswas, Kenneth R. Brown, Vincent R. Martinez

  2022-08-13

  293269 3219 Pages:296-355 Open-access

• Effective Maximum Principles for Spectral Methods

  Dong Li

  2021-07-30

  37814 3491 Pages:131-290

• Global Existence of Weak Solutions to the Three-Dimensional Full Compressible Quantum Equations

  Boling Guo, Binqiang Xie

  2022-06-17

  26351 3454 Pages:1-31

• Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-Dimension

  Boling Guo, Guangwu Wang

  2022-06-21

  25573 2935 Pages:111-132

• A Survey on the Performance of Krylov Subspace Methods in High Order Compact Schemes for Solving Poisson’s Equation for Application in Incompressible Fluid Flow Solvers

  Iman Farahbakhsh, Benyamin Barani Nia, Mehdi Dehghan

  2025-06-04

  9739 567 Pages:239-266

• Oscillation-Eliminating Discontinuous Galerkin Methods for Multicomponent Chemically Reacting Flows

  Jie Du, Chuan Fan, Kailiang Wu

  2025-01-14

  8030 1105 Pages:412-444

• Thermal Creep Flow in the Rarefied Gas

  Feimin Huang

  2020-08-24

  39625 3249 Pages:250-265