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 2022-05-01 to 2026-05-01.)

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
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$	13
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	13
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	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
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	11
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	11
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	10
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework	10
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	10
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	9
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves	9
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	9
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	9
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain	9
Effect of Weak Elasticity on the Kelvin-Helmholtz Instability	9
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	9
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
Stratified Ocean Currents with Constant Vorticity	8
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	8
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation	8

Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit	8
Instability of Boundary Layers with the Navier Boundary Condition	8
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation	8
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces	8
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model	7
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity	7
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation	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
The Landau–Lifshitz–Bloch Equation in the Thin Film	6
Spatially Quasi-Periodic Solutions of the Euler Equation	6
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	6
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	6
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	6
Explicit Two-Dimensional Solution for a Model of the Antarctic Circumpolar Current	6
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass	6
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	6
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields	6
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	5
Forward Self-similar Solutions to the MHD Type System in the Half Space	5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
Inhomogenous Navier–Stokes Equations with Unbounded Density	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities	5
Asymptotic Behavior of Solutions to Compressible Euler Equations with Time and Space Dependent Damping	5
Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations	5
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	5
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	5
Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional	5
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	5
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces	5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	5
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space	5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	5
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	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	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
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
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity	4
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	4
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	4
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	4
Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations	4
A Thin Film Model for Meniscus Evolution	4
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3

Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case	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
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior	3
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space	3
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation	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
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model	3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains	3
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity	3
On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV	3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$	3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations	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
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
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines	3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System	3
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space	3
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model	3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions	3