专题：Mathematical Modeling of Fluid Dynamics

This cluster of papers focuses on the mathematical modeling and analysis of fluid dynamics, including topics such as Navier-Stokes equations, compressible flows, magnetohydrodynamics, global existence of solutions, weak solutions, boundary value problems, incompressible flow, regularity criteria, and free surface boundary behavior.
最新文献
Integrable Misalignment Forbids Blowup: A New Scale-Invariant Geometric Continuation Theorem for Three-Dimensional Navier-Stokes, Proved from the Classical Base

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The initial-boundary value problem to a parabolic equation with Hölder continuous diffusion coefficient

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Numerical Study of Maxwell and Navier–Stokes Equations for Fluid Flow Over a Curvilinear Surface Subject to Buoyancy Forces

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Energy-Stable, L2-Stable, and weakly H1-Stable BDF2 viscosity splitting method for the penalized incompressible navier–Stokes equations

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Investigating the Stability of Non-Newtonian Blood Flow with Nanoparticles Under the Influence of Inclined Magnetic Field: Application for Cancer Treatment

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Global solutions to 3D MHD equations with fractional dissipation

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Two-Dimensional Fluids Via Matrix Hydrodynamics

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Attractors for the Navier–Stokes–Voigt Equations and Their Dimension

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Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$

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On action rate admissibility criteria

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近5年高被引文献
Existence and Smoothness of the Navier-Stokes Equation

preprint Full Text OpenAlex 166 FWCI0

Advances in Fluid Mechanics

book Full Text OpenAlex 162 FWCI1.0033

5 Finite-element approximation of the Navier–Stokes equations

book-chapter Full Text OpenAlex 131 FWCI23.0636

Mathematical Modelling of Fluid Dynamics and Nanofluids

book Full Text OpenAlex 105 FWCI35.2194

Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

article Full Text OpenAlex 101 FWCI30.4509

Flow and heat over a rotating disk subject to a uniform horizontal magnetic field

article Full Text OpenAlex 96 FWCI11.54

Stability threshold of two-dimensional Couette flow in Sobolev spaces

article Full Text OpenAlex 80 FWCI21.3337

Optimal error estimates of a Crank–Nicolson finite element projection method for magnetohydrodynamic equations

article Full Text OpenAlex 77 FWCI8.303

Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity

article Full Text OpenAlex 75 FWCI8.5705

Sharp nonuniqueness for the Navier–Stokes equations

article Full Text OpenAlex 68 FWCI18.9608