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
Global solution for the compressible Poisson-Nernst-Planck-Navier-Stokes System in 1D

article Full Text OpenAlex

The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework

article Full Text OpenAlex

Global large solutions to an initial-boundary value problem of the incompressible ideal MHD equations with velocity damping

article Full Text OpenAlex

Remarks on Liouville type theorems for the steady nematic liquid crystal equations

article Full Text OpenAlex

On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier–Stokes equations

article Full Text OpenAlex

Global existence and decay of strong solution to the 3D compressible Navier–Stokes–Poisson equations with large data

article Full Text OpenAlex

Pullback attractors for 2D MHD equations with delays on unbounded domains

article Full Text OpenAlex

Semi-implicit relaxed finite volume schemes for hyperbolic multi-scale systems of conservation laws

article Full Text OpenAlex

Well-Posedness and Inviscid Limit Results for Stochastic Second-Grade Fluid Equations with Transport Noise in Bounded Domains

book-chapter Full Text OpenAlex

Linear and nonlinear enhanced dissipation for the 2-D micropolar equations near Couette flow

article Full Text OpenAlex

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

preprint Full Text OpenAlex 139 FWCI0

Existence and uniqueness theorems for solutions of McKean–Vlasov stochastic equations

article Full Text OpenAlex 96 FWCI14.476

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

article Full Text OpenAlex 81 FWCI13.008

Finite-time singularity formation for $C^{1,\alpha}$ solutions to the incompressible Euler equations on $\mathbb{R}^3$

article Full Text OpenAlex 79 FWCI16.049

The Cauchy problem for the Moore-Gibson-Thompson equation in the dissipative case

article Full Text OpenAlex 65 FWCI16.641

Stability of Couette flow for 2D Boussinesq system with vertical dissipation

article Full Text OpenAlex 59 FWCI12.389

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

article Full Text OpenAlex 57 FWCI9.385

Finite Time Blowup of 2D Boussinesq and 3D Euler Equations with $$C^{1,\alpha }$$ Velocity and Boundary

article Full Text OpenAlex 57 FWCI13.56

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

article Full Text OpenAlex 55 FWCI4.881

Global Well-Posedness and Exponential Stability of 3D Navier–Stokes Equations with Density-Dependent Viscosity and Vacuum in Unbounded Domains

article Full Text OpenAlex 55 FWCI10.699