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 2022-01-01 to 2026-01-01.)

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	31
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	14
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	12
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	12
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	12
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$	11
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	10
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	10
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	10
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	10
The Shallow-Water Models with Cubic Nonlinearity	10
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	10
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves	9
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	9
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	9
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	8
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework	8
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
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain	8
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	8
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	8
Rotation Problem for a Two-Phase Drop	7
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure	7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	7

Stratified Ocean Currents with Constant Vorticity	7
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces	7
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit	7
Instability of Boundary Layers with the Navier Boundary Condition	7
Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle	7
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation	6
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation	6
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces	6
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	6
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media	6
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity	6
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation	6
The Landau–Lifshitz–Bloch Equation in the Thin Film	6
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	6
Steady Compressible Navier-Stokes-Fourier System with Slip Boundary Conditions Arising from Kinetic Theory	6
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model	6
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	6
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	5
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	5
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework	5
Asymptotic Behavior of Solutions to Compressible Euler Equations with Time and Space Dependent Damping	5
Spatially Quasi-Periodic Solutions of the Euler Equation	5
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	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
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
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	5
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	4
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model	4
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems	4
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	4
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations	4
A Thin Film Model for Meniscus Evolution	4
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	4
Inhomogenous Navier–Stokes Equations with Unbounded Density	4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	4
Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production	4
Dyadic models for ideal MHD	4
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	4
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations	4
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity	4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	4
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space	4
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	4

Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional	4
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
A Well-Posedness Result for the Compressible Two-Fluid Model with Density-Dependent Viscosity	4
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations	4
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	4
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains	3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations	3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case	3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations	3
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space	3
Steady Compressible Navier–Stokes–Fourier Equations with Dirichlet Boundary Condition for the Temperature	3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines	3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains	3
Thermal Convection in a Higher Velocity Gradient and Higher Temperature Gradient Fluid	3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
On the Effect of a Large Cloud of Rigid Particles on the Motion of an Incompressible Non–Newtonian Fluid	3
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model	3
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$	3
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows	3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation	3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior	3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case	3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$	3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions	3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System	3
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity	3
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space	3