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 2021-05-01 to 2025-05-01.)

Article	Citations
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	22
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	20
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	14
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	13
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	11
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls	10
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	10
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations	10
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	10
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	9
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
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	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
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	8
The Shallow-Water Models with Cubic Nonlinearity	8
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	7
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	7
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations	7
Linear Dynamics of the Semi-geostrophic Equations in Eulerian Coordinates on $${\mathbb {R}}^{3}$$	7
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	7
Stratified Ocean Currents with Constant Vorticity	7
On Conditional Regularity for the MHD Equations via Partial Components	7

Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	7
Global Continuous Sonic–Supersonic Flows in Two-Dimensional Semi-infinite Divergent Ducts	7
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities	7
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	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
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	6
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
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model	5
Spatially Quasi-Periodic Solutions of the Euler Equation	5
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields	5
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	5
Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations	5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass	5
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	5
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces	5
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	5
The Landau–Lifshitz–Bloch Equation in the Thin Film	5
Local Existence and Uniqueness of Strong Solutions to the Two Dimensional Compressible Primitive Equations with Density-Dependent Viscosity	5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation	5
Mild Criticality Breaking for the Navier–Stokes Equations	5
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	5
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	5
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces	5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities	5
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	4
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	4
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions	4
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	4
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	4
Limit of a Consistent Approximation to the Complete Compressible Euler System	4
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	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

Analysis of Contact Occurrence in Fluid–Structure Interaction System Under the Thin Film Approximation	3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3
Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity	3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case	3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	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
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity	3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	3
A Thin Film Model for Meniscus Evolution	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
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions	3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$	3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations	3
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations	3
Existence and Exponential Behavior for the Stochastic 2D Cahn–Hilliard–Oldroyd Model of Order One	3
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations	3
Correction to: On the Nonstationary Stokes System in a Cone ($$L_p$$ Theory)	3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	3
Dyadic models for ideal MHD	3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
Decay Rates for Strong Solutions to the Compressible Navier–Stokes Equations without Heat Conductivity	3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case	3
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves	3
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	3
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations	3