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 2021-02-01 to 2025-02-01.)

Article	Citations
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport	15
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	14
Wave Breaking for the Constantin–Lannes Equation Revisited	13
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field	11
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	11
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models	9
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	9
A 2D Model for Heat Transport in a Hele–Shaw Geometry	8
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	8
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl	8
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law	8
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid	7
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction	7
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions	7
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	7
Dissipative Solutions to the Stochastic Euler Equations	7
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	7
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	6
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain	6
The Shallow-Water Models with Cubic Nonlinearity	6
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	6
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	6
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method	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
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations	6

$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	6
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	6
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	6
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls	6
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term	6
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
On the Bingham Flow in a Thin Y-Like Shaped Structure	5
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	5
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations	5
Limit of a Consistent Approximation to the Complete Compressible Euler System	5
On bounds for steady waves with negative vorticity	5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains	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 the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions	5
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour	5
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	5
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	5
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	5
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals	4
Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum	4
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations	4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer	4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	4
Classical Solutions for 1D Compressible Euler Equations with Over Damping	4
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD	4
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity	4
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces	4
On a Sea-Breeze Flow Mathematical Model in Troposphere	4
On Evolution of Corner-Like gSQG Patches	4
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	4
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes	4
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity	4
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall	4
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions	4
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation	4
Stability of Weak Electrokinetic Flow	4
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	4
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution	4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions	4
On Isolated Singularities for the Stationary Navier–Stokes System	4
The Stability and Decay for the 2D Incompressible Euler-Like Equations	3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	3

$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations	3
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity	3
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws	3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates	3
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation	3
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity	3
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids	3
Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles	3
Uniqueness of Dissipative Solutions to the Complete Euler System	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
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System	3
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation	3
Non-conservative Solutions of the Euler-$$\alpha $$ Equations	3
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations	3
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip	3
Probabilistic Descriptions of Fluid Flow: A Survey	3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	3
The MHD Equations in the Lorentz Space With Time Dependent External Forces	3
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points	3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity	3