OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Mathematical Fluid Mechanics is 3. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-06-01 to 2025-06-01.)

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	23
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	20
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	14
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	10
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	10
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls	10
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law	9
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	9
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	9
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	9
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	9
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	8
The Shallow-Water Models with Cubic Nonlinearity	8
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	8
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	8
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	8
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	8
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	7
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	7
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities	7
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	7
Global Continuous Sonic–Supersonic Flows in Two-Dimensional Semi-infinite Divergent Ducts	7
Stratified Ocean Currents with Constant Vorticity	7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	7
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves	7

On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations	7
Rotation Problem for a Two-Phase Drop	6
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness	6
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media	6
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure	6
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation	6
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit	6
Local-in-Space Blow-up for a Weakly Dissipative Generalized Two-Component Camassa–Holm System	6
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces	6
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	6
Instability of Boundary Layers with the Navier Boundary Condition	6
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity	6
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity	6
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	6
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces	5
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation	5
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	5
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities	5
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	5
The Landau–Lifshitz–Bloch Equation in the Thin Film	5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass	5
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields	5
Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations	5
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	5
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model	5
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	5
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	5
Spatially Quasi-Periodic Solutions of the Euler Equation	5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
Local Existence and Uniqueness of Strong Solutions to the Two Dimensional Compressible Primitive Equations with Density-Dependent Viscosity	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	4
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces	4
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	4
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	4
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	4
Limit of a Consistent Approximation to the Complete Compressible Euler System	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	4
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework	4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions	4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	4
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity	3
A Thin Film Model for Meniscus Evolution	3

Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations	3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations	3
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines	3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations	3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions	3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior	3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model	3
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations	3
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains	3
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains	3
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves	3
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows	3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations	3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System	3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case	3
Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity	3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	3
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility	3
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations	3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation	3
Dyadic models for ideal MHD	3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$	3
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case	3
Existence and Exponential Behavior for the Stochastic 2D Cahn–Hilliard–Oldroyd Model of Order One	3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems	3