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 2021-03-01 to 2025-03-01.)

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	20
On bounds for steady waves with negative vorticity	17
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl	14
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction	14
Dissipative Solutions to the Stochastic Euler Equations	11
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls	10
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions	9
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations	9
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	9
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain	8
A 2D Model for Heat Transport in a Hele–Shaw Geometry	8
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law	8
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	8
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions	7
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	7
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport	7
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces	7
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	7
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	7
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	7
Limit of a Consistent Approximation to the Complete Compressible Euler System	7
On the Bingham Flow in a Thin Y-Like Shaped Structure	7
The Shallow-Water Models with Cubic Nonlinearity	6
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	6
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	6

Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	6
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$	6
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	6
Wave Breaking for the Constantin–Lannes Equation Revisited	6
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term	6
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals	6
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	6
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions	5
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model	5
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models	5
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations	5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	5
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	5
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation	5
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall	5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions	5
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions	5
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity	5
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains	5
On Isolated Singularities for the Stationary Navier–Stokes System	5
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method	5
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	5
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD	5
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	5
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	4
Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains	4
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity	4
Uniqueness of Dissipative Solutions to the Complete Euler System	4
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space	4
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity	4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour	4
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws	4
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction	4
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law	4
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions	4
The MHD Equations in the Lorentz Space With Time Dependent External Forces	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Stability of Weak Electrokinetic Flow	4
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid	4
On a Sea-Breeze Flow Mathematical Model in Troposphere	4
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids	4
Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles	4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	4
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations	4

Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum	4
Non-conservative Solutions of the Euler-$$\alpha $$ Equations	3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	3
Probabilistic Descriptions of Fluid Flow: A Survey	3
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type	3
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution	3
The Stability and Decay for the 2D Incompressible Euler-Like Equations	3
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity	3
On the Stokes System in Cylindrical Domains	3
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity	3
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow	3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions	3
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations	3
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes	3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates	3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	3
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	3
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations	3
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation	3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	3
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	3
Classical Solutions for 1D Compressible Euler Equations with Over Damping	3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip	3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity	3
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations	3
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations	3
On Evolution of Corner-Like gSQG Patches	3
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations	3
Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure	3