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 2021-04-01 to 2025-04-01.)

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	19
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction	19
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl	14
Dissipative Solutions to the Stochastic Euler Equations	11
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	10
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls	10
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations	9
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	9
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions	8
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain	8
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces	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
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	7
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$	7
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	7
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	7
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals	7
Wave Breaking for the Constantin–Lannes Equation Revisited	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
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	7
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport	7
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	7
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	6

On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD	6
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	6
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	6
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method	6
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity	6
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions	6
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	6
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	6
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	6
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	6
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations	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
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid	5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains	5
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	5
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
On Isolated Singularities for the Stationary Navier–Stokes System	5
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	5
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions	5
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models	5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions	5
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model	5
Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains	5
On a Sea-Breeze Flow Mathematical Model in Troposphere	5
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour	4
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	4
The Shallow-Water Models with Cubic Nonlinearity	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction	4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer	4
Stability of Weak Electrokinetic Flow	4
Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum	4
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term	4
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System	4
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	4
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space	4
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws	4
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law	4
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
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes	3
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations	3
The Stability and Decay for the 2D Incompressible Euler-Like Equations	3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations	3

Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	3
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity	3
Non-conservative Solutions of the Euler-$$\alpha $$ 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
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations	3
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow	3
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution	3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	3
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity	3
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type	3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions	3
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	3
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations	3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	3
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity	3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates	3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip	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
Probabilistic Descriptions of Fluid Flow: A Survey	3
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions	3