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 2020-10-01 to 2024-10-01.)

Article	Citations
The Shallow-Water Models with Cubic Nonlinearity	15
Non-uniform Dependence on Initial Data for the Camassa–Holm Equation in the Critical Besov Space	14
A Uniqueness Result for 3D Incompressible Fluid-Rigid Body Interaction Problem	13
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation	13
Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities	12
Stability and Exponential Decay for the 2D Anisotropic Navier–Stokes Equations with Horizontal Dissipation	11
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	11
On the Jordan–Moore–Gibson–Thompson Wave Equation in Hereditary Fluids with Quadratic Gradient Nonlinearity	10
An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge	9
Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity	9
Viscous Flow Around a Rigid Body Performing a Time-periodic Motion	9
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	8
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	8
Perturbation Analysis for the Surface Deflection Angle of Ekman-Type Flows with Variable Eddy Viscosity	8
Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems	7
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a Simplified Isentropic Relativistic Euler Equations	7
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces	7
On the Local Pressure Expansion for the Navier–Stokes Equations	7
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions	7
Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations	7
Dissipative Solutions to the Stochastic Euler Equations	7
Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory	6
Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid	6
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations	6
On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness	6

Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity	6
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	6
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty	6
Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current	6
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	6
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains	6
Uniqueness of Dissipative Solutions to the Complete Euler System	6
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	6
Uniqueness Result for the 3-D Navier–Stokes–Boussinesq Equations with Horizontal Dissipation	6
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains	6
Dissipative Solutions to Compressible Navier–Stokes Equations with General Inflow–Outflow Data: Existence, Stability and Weak Strong Uniqueness	6
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	6
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow	6
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	6
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness	5
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space	5
Dissipation Properties of Transport Noise in the Two-Layer Quasi-geostrophic Model	5
The Global Solvability of 3-D Inhomogeneous Viscous Incompressible Magnetohydrodynamic Equations with Bounded Density	5
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows	5
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space	5
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	5
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System	5
On Uniqueness and Helicity Conservation of Weak Solutions to the Electron-MHD System	5
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility	5
Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on Fluid-Structure Interaction	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
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	5
A Highly Nonlinear Shallow-Water Model Arising from the Full Water Waves with the Coriolis Effect	5
Sharp Interface Limit of a Stokes/Cahn–Hilliard System, Part II: Approximate Solutions	5
New Thought on Matsumura–Nishida Theory in the $$L_p$$–$$L_q$$ Maximal Regularity Framework	5
Rigidity of Three-Dimensional Internal Waves with Constant Vorticity	4
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion	4
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System	4
On Conditional Regularity for the MHD Equations via Partial Components	4
Rotation Problem for a Two-Phase Drop	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term	4
The 3D Time-Dependent Oseen System: Link Between $$L^p$$-Integrability in Time and Pointwise Decay in Space of the Velocity	4
A Minimum Critical Blowup Rate for the High-Dimensional Navier–Stokes Equations	4
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations	4
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System	4
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations	4
Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System	4
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws	4
Discretely Self-Similar Solutions for 3D MHD Equations and Global Weak Solutions in Weighted $$L^2$$ Spaces	4
A Single-Component BKM-Type Regularity Criterion for the Inviscid Axially Symmetric Hall-MHD System	4
Some Explicit Solutions to the Three-Dimensional Nonlinear Water Wave Problem	4
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations	4
Loss of Regularity for the 2D Euler Equations	4

Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	4
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	4
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions	4
On bounds for steady waves with negative vorticity	4
On the Exponential Decay for Compressible Navier–Stokes–Korteweg Equations with a Drag Term	4
On the Energy Equality for Distributional Solutions to Navier–Stokes–Maxwell System	3
Global Well-Posedness of the Ocean Primitive Equations with Nonlinear Thermodynamics	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
Rayleigh–Taylor Instability for Viscous Incompressible Capillary Fluids	3
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity	3
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations	3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates	3
On the Self-propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data	3
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure	3
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	3
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation	3
Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing	3
Mild Criticality Breaking for the Navier–Stokes Equations	3
Compressible Fluids Interacting with Plates: Regularity and Weak-Strong Uniqueness	3
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle	3
Large-Time Behavior of a Rigid Body of Arbitrary Shape in a Viscous Fluid Under the Action of Prescribed Forces and Torques	3
Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow	3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions	3
Dyadic models for ideal MHD	3
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	3
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	3
Global Existence for an Attraction–Repulsion Chemotaxis-Fluid System in a Framework of Besov–Morrey type	3
A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	3
Locally Space-Time Anisotropic Regularity Criteria for the Navier–Stokes Equations in Terms of Two Vorticity Components	3
Existence for a Quasi-Static Interaction Problem Between a Viscous Fluid and an Active Structure	3
Semiflow Selection to Models of General Compressible Viscous Fluids	3
Nonlinear Stability of the Inviscid Magnetic Bénard Problem	3
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations	3
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$	3
On the Bingham Flow in a Thin Y-Like Shaped Structure	3
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations	3