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
An extension theorem for weak solutions of the 3d incompressible Euler equations and applications to singular flows

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On a multi-dimensional transport equation with nonlocal velocity and fractional dissipation

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Nearly parallel helical vortex filaments in the three-dimensional Euler equations

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Application of Regularized Equations for Dynamics of Heterogeneous Binary Mixtures for Modeling Water–Vapor Phase Transitions

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On the 3-D Brezis–Nirenberg problem with small parameter

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Shock Wave Structure and Sub-Shock Formation in a Hyperbolic Nonlinear Viscoelastic Model

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Two Types of Compressible Isotropic Neo-Hookean Material Models

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G-S-2026-01 | SYSTEMS GEOLOGICS «Динамика эндогенного флюидного прорыва в условиях океанической трансгрессии: физическая модель формирования структуры Гуэльб-эр-Ришат» (English title for reference: "Dynamics of Endogenous Fluid Breach under Oceanic Transgression: A Physical Model of the Richat Structure Formation")

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Resolution of the Navier-Stokes Existence and Smoothness Problem via Srinivas Bounded Mathematics

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Volume preserving Willmore flow in a generalized Cahn-Hilliard flow

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

preprint Full Text OpenAlex 169 FWCI0

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

article Full Text OpenAlex 95 FWCI14.8755

Parameter-robust formulation and preconditioning of poroelasticity equations for brain modelling

article Full Text OpenAlex 76 FWCI0

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

article Full Text OpenAlex 68 FWCI10.5846

Stability threshold of two-dimensional Couette flow in Sobolev spaces

article Full Text OpenAlex 67 FWCI9.9135

Sharp nonuniqueness for the Navier–Stokes equations

article Full Text OpenAlex 67 FWCI20.2957

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

article Full Text OpenAlex 64 FWCI9.598

Long‐Time Instability of the Couette Flow in Low Gevrey Spaces

article Full Text OpenAlex 57 FWCI5.5874

Validity of steady Prandtl layer expansions

article Full Text OpenAlex 55 FWCI13.3561

Convergence to nonlinear diffusion waves for a hyperbolic-parabolic chemotaxis system modelling vasculogenesis

article Full Text OpenAlex 54 FWCI7.2471