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 2022-06-01 to 2026-06-01.)

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	16
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	15
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	14
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$	13
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	13
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	12
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	12
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	11
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	11
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework	10
Effect of Weak Elasticity on the Kelvin-Helmholtz Instability	10
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	10
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	10
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	10
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	10
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	9
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain	9
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	9
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit	9
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves	9
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces	8
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation	8
Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle	8
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure	8
Steady Compressible Navier-Stokes-Fourier System with Slip Boundary Conditions Arising from Kinetic Theory	8

On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	8
Stratified Ocean Currents with Constant Vorticity	8
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation	8
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity	8
Instability of Boundary Layers with the Navier Boundary Condition	8
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model	7
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	7
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media	7
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	6
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	6
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	6
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	6
The Landau–Lifshitz–Bloch Equation in the Thin Film	6
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields	6
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	6
Explicit Two-Dimensional Solution for a Model of the Antarctic Circumpolar Current	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
Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional	5
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	5
Inhomogenous Navier–Stokes Equations with Unbounded Density	5
Spatially Quasi-Periodic Solutions of the Euler Equation	5
Asymptotic Behavior of Solutions to Compressible Euler Equations with Time and Space Dependent Damping	5
Forward Self-similar Solutions to the MHD Type System in the Half Space	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space	5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	5
Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations	5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass	5
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	5
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	4
Determination of Time Dependent Source Terms for Stokes Systems in Unbounded Domains	4
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	4
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	4
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	4
A Thin Film Model for Meniscus Evolution	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	4
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations	4
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations	3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions	3
On the Effect of a Large Cloud of Rigid Particles on the Motion of an Incompressible Non–Newtonian Fluid	3
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows	3

2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System	3
Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case	3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case	3
Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production	3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems	3
Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations	3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior	3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations	3
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall	3
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model	3
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space	3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines	3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$	3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains	3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations	3
A Well-Posedness Result for the Compressible Two-Fluid Model with Density-Dependent Viscosity	3
Mathematical Justification of a Baer–Nunziato Model for a Compressible Viscous Fluid with Phase Transition	3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$	3
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space	3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations	3
On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV	3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains	3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case	3
Thermal Convection in a Higher Velocity Gradient and Higher Temperature Gradient Fluid	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Spatial Pointwise Behavior of Gradient of Navier-Stokes Flow Around a Rigid Body Moving by Time-Periodic Motion, with Applications to Stability/attainability of time-periodic Flow	3