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 2020-03-01 to 2024-03-01.)

Article	Citations
Stochastic Tamed Navier–Stokes Equations on $${\mathbb {R}}^3$$: The Existence and the Uniqueness of Solutions and the Existence of an Invariant Measure	15
Non-uniform Dependence for the Novikov Equation in Besov Spaces	12
Local Existence of Strong Solutions of a Fluid–Structure Interaction Model	11
Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities	11
Homogenization of Stokes Equations in Perforated Domains: A Unified Approach	11
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation	10
Stability and Exponential Decay for the 2D Anisotropic Navier–Stokes Equations with Horizontal Dissipation	10
A Uniqueness Result for 3D Incompressible Fluid-Rigid Body Interaction Problem	10
A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics	10
Non-uniform Dependence on Initial Data for the Camassa–Holm Equation in the Critical Besov Space	10
Global Regularity of the Three-Dimensional Fractional Micropolar Equations	10
Viscous Flow Around a Rigid Body Performing a Time-periodic Motion	9
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	9
The Shallow-Water Models with Cubic Nonlinearity	9
An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge	7
On the Jordan–Moore–Gibson–Thompson Wave Equation in Hereditary Fluids with Quadratic Gradient Nonlinearity	7
Maximum Principle for Some Optimal Control Problems Governed by 2D Nonlocal Cahn–Hillard–Navier–Stokes Equations	7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	7
Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity	7
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	7
Perturbation Analysis for the Surface Deflection Angle of Ekman-Type Flows with Variable Eddy Viscosity	6
On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness	6
Three Dimensional Asymptotic Analysis of an Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall	6
Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems	6
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains	6

On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow	6
On the Local Pressure Expansion for the Navier–Stokes Equations	6
Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current	6
Dissipative Solutions to Compressible Navier–Stokes Equations with General Inflow–Outflow Data: Existence, Stability and Weak Strong Uniqueness	6
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces	6
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid	5
Dispersive Estimates for Full Dispersion KP Equations	5
New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure	5
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions	5
Dissipative Solutions to the Stochastic Euler Equations	5
Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory	5
New Thought on Matsumura–Nishida Theory in the $$L_p$$–$$L_q$$ Maximal Regularity Framework	5
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space	5
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a Simplified Isentropic Relativistic Euler Equations	5
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	5
Uniqueness Result for the 3-D Navier–Stokes–Boussinesq Equations with Horizontal Dissipation	5
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations	5
Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations	5
Uniqueness of Dissipative Solutions to the Complete Euler System	5
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	5
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness	4
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations	4
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions	4
Discretely Self-Similar Solutions for 3D MHD Equations and Global Weak Solutions in Weighted $$L^2$$ Spaces	4
A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	4
A Single-Component BKM-Type Regularity Criterion for the Inviscid Axially Symmetric Hall-MHD System	4
Global Existence of Martingale Solutions and Large Time Behavior for a 3D Stochastic Nonlocal Cahn–Hilliard–Navier–Stokes Systems with Shear Dependent Viscosity	4
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains	4
On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation	4
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations	4
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System	4
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	4
Blowup Criterion via Only the Middle Eigenvalue of the Strain Tensor in Anisotropic Lebesgue Spaces to the 3D Double-Diffusive Convection Equations	4
On the Spectrum of the Linearized Operator Around Compressible Couette Flows Between Two Concentric Cylinders	4
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows	4
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System	4
Long-Time Behavior for Three Dimensional Compressible Viscousand Heat-Conductive Gases	4
Well-Posedness and Stability Results for Some Periodic Muskat Problems	4
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	4
Time Analyticity for Inhomogeneous Parabolic Equations and the Navier–Stokes Equations in the Half Space	4
The 3D Time-Dependent Oseen System: Link Between $$L^p$$-Integrability in Time and Pointwise Decay in Space of the Velocity	4
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty	4
Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions	4
Analysis of the Small Oscillations of Two Nonmixing Fluids, the Upper Inviscid, the Lower Viscoelastic, in a Fixed Open Container	3
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	3
Dyadic models for ideal MHD	3
Decay of Solutions to the Linearized Free Surface Navier–Stokes Equations with Fractional Boundary Operators	3
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space	3

A Pressure Associated with a Weak Solution to the Navier–Stokes Equations with Navier’s Boundary Conditions	3
On the Nonstationary Stokes System in a Cone ($$L_p$$ Theory)	3
Wave Breaking, Global Existence and Persistent Decay for the Gurevich–Zybin System	3
Global Weak Solutions to Compressible Navier–Stokes–Vlasov–Boltzmann Systems for Spray Dynamics	3
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion	3
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	3
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System	3
Rotation Problem for a Two-Phase Drop	3
On a Singular Limit for the Compressible Rotating Euler System	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Dissipation Properties of Transport Noise in the Two-Layer Quasi-geostrophic Model	3
On the Self-propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data	3
Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on Fluid-Structure Interaction	3
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity	3
Mild Criticality Breaking for the Navier–Stokes Equations	3
Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System	3
Generic Regularity of Conservative Solutions to the Rotational Camassa–Holm Equation	3
On bounds for steady waves with negative vorticity	3
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle	3
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term	3
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	3
A Minimum Critical Blowup Rate for the High-Dimensional Navier–Stokes Equations	3
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations	3
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation	3
On the Exponential Decay for Compressible Navier–Stokes–Korteweg Equations with a Drag Term	3
On Conditional Regularity for the MHD Equations via Partial Components	3
The Global Solvability of 3-D Inhomogeneous Viscous Incompressible Magnetohydrodynamic Equations with Bounded Density	3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	3
Locally Space-Time Anisotropic Regularity Criteria for the Navier–Stokes Equations in Terms of Two Vorticity Components	3
Orbital Bifurcations and Shoaling of Cnoidal Waves	3
Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem	3
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	3
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity	3
Global Existence and Stability of Shock Front Solution to 1-D Piston Problem for Exothermically Reacting Euler Equations	3