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Unconditional H2$$ {H}^2 $$‐stability of the Euler implicit/explicit SAV‐based scheme for the 2D Navier–Stokes equations with smooth or nonsmooth initial data

Numerical methods for partial differential equations, 2024-09, Vol.40 (5), p.n/a

2024

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Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence

Mathematics (Basel), 2024-06, Vol.12 (12), p.1817

Mikhailov, Sergey E.

2024

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Well-Posedness and Dependence on the Initial Value of the Time-Fractional Navier–Stokes Equations on the Heisenberg Group

Qualitative theory of dynamical systems, 2024-11, Vol.23 (5), Article 200

2024

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A Unified L2 Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations

Journal of scientific computing, 2024-07, Vol.100 (1), p.5

2024

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Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes

Machine learning: science and technology, 2024-06, Vol.5 (2), p.25045

2024

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Investigation on Accelerated Initiation of Oblique Detonation Wave Induced by Laser-Heating Hot-Spot

Aerospace, 2024-06, Vol.11 (6), p.485

2024

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The global existence for the strong solution of the stochastic 3-D incompressible anisotropic Naiver-Stokes equations

Journal of mathematical analysis and applications, 2025-01, Vol.541 (1), p.128664, Article 128664

2025

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Localization of Beltrami fields: Global smooth solutions and vortex reconnection for the Navier-Stokes equations

Journal of functional analysis, 2024-11, Vol.287 (9), p.110610, Article 110610

2024

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A coupling concept for Stokes-Darcy systems: The ICDD method

Journal of computational physics, 2024-09, Vol.513, p.113204, Article 113204

2024

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Local and global existence for the Ericksen - Leslie problem in unbounded domains

Journal of mathematical analysis and applications, 2025-01, Vol.541 (1), p.128677, Article 128677

2025

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Enhancing crossflow dynamics through the gas injection from multiple cylinders

International journal of heat and mass transfer, 2024-11, Vol.233, p.125977, Article 125977

2024

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A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow

Journal of computational physics, 2024-08, Vol.510, p.113086, Article 113086

2024

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On the choice of physical constraints in artificial neural networks for predicting flow fields

Future generation computer systems, 2024-12, Vol.161, p.361-375

2024

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Continuous data assimilation for the 3D and higher-dimensional Navier–Stokes equations with higher-order fractional diffusion

Journal of mathematical analysis and applications, 2024-12, Vol.540 (1), p.128644, Article 128644

2024

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On the chemotactic limit of the incompressible chemotaxis-Navier–Stokes equations in R2

Applied mathematics letters, 2024-11, Vol.157, Article 109172

2024

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A principle of maximum entropy for the Navier–Stokes equations

Physica. D, 2024-11, Vol.467, p.134274, Article 134274

2024

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Energy dissipation of weak solutions for a surface growth model

Journal of Differential Equations, 2024-10, Vol.407, p.432-458

2024

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Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations

Computers & mathematics with applications (1987), 2024-09, Vol.169, p.253-259

2024

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On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces

Journal of Differential Equations, 2024-10, Vol.406, p.126-173

2024

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A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes

Journal of computational physics, 2024-10, Vol.515, p.113289, Article 113289

2024

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Pressure-robust L2(Ω) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

Applied mathematics letters, 2024-10, Vol.156, Article 109138

2024

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Incompressible Navier–Stokes limit from nonlinear Vlasov–Fokker–Planck equation

Applied mathematics letters, 2024-12, Vol.158, p.109214, Article 109214

2024

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Meshfree methods for the time fractional Navier–Stokes equations

Engineering analysis with boundary elements, 2024-09, Vol.166, p.105823, Article 105823

2024

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Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem

Journal of computational and applied mathematics, 2024-12, Vol.451, p.116118, Article 116118

2024

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Stability of equilibria and bifurcations for a fluid-solid interaction problem

Journal of Differential Equations, 2024-11, Vol.408, p.324-367

2024

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Unconditional H2$$ {H}^2 $$‐stability of the Euler implicit/explicit SAV‐based scheme for the 2D Navier–Stokes equations with smooth or nonsmooth initial data

Spatially-Periodic Solutions for Evolution Anisotropic Variable-Coefficient Navier–Stokes Equations: I. Weak Solution Existence

Well-Posedness and Dependence on the Initial Value of the Time-Fractional Navier–Stokes Equations on the Heisenberg Group

A Unified L2 Norm Error Analysis of SAV-BDF Schemes for the Incompressible Navier–Stokes Equations

Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes

Investigation on Accelerated Initiation of Oblique Detonation Wave Induced by Laser-Heating Hot-Spot

The global existence for the strong solution of the stochastic 3-D incompressible anisotropic Naiver-Stokes equations

Localization of Beltrami fields: Global smooth solutions and vortex reconnection for the Navier-Stokes equations

A coupling concept for Stokes-Darcy systems: The ICDD method

Local and global existence for the Ericksen - Leslie problem in unbounded domains

Enhancing crossflow dynamics through the gas injection from multiple cylinders

A fully conservative and shift-invariant formulation for Galerkin discretizations of incompressible variable density flow

On the choice of physical constraints in artificial neural networks for predicting flow fields

Continuous data assimilation for the 3D and higher-dimensional Navier–Stokes equations with higher-order fractional diffusion

On the chemotactic limit of the incompressible chemotaxis-Navier–Stokes equations in R2

A principle of maximum entropy for the Navier–Stokes equations

Energy dissipation of weak solutions for a surface growth model

Superconvergence analysis of a new stabilized nonconforming finite element method for the Stokes equations

On the global existence and uniqueness of solution to 2-D inhomogeneous incompressible Navier-Stokes equations in critical spaces

A new class of efficient high order semi-Lagrangian IMEX discontinuous Galerkin methods on staggered unstructured meshes

Pressure-robust L2(Ω) error analysis for Raviart–Thomas enriched Scott–Vogelius pairs

Incompressible Navier–Stokes limit from nonlinear Vlasov–Fokker–Planck equation

Meshfree methods for the time fractional Navier–Stokes equations

Low regularity error analysis for an H(div)-conforming discontinuous Galerkin approximation of Stokes problem

Stability of equilibria and bifurcations for a fluid-solid interaction problem

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