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 2020-05-01 to 2024-05-01.)

Article	Citations
Local Existence of Strong Solutions of a Fluid–Structure Interaction Model	12
Non-uniform Dependence for the Novikov Equation in Besov Spaces	12
A Uniqueness Result for 3D Incompressible Fluid-Rigid Body Interaction Problem	12
Homogenization of Stokes Equations in Perforated Domains: A Unified Approach	12
Stability and Exponential Decay for the 2D Anisotropic Navier–Stokes Equations with Horizontal Dissipation	11
The Shallow-Water Models with Cubic Nonlinearity	11
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation	11
A Sturm–Liouville Problem Arising in the Atmospheric Boundary-Layer Dynamics	11
Non-uniform Dependence on Initial Data for the Camassa–Holm Equation in the Critical Besov Space	11
Analytical Atmospheric Ekman-Type Solutions with Height-Dependent Eddy Viscosities	11
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres	10
Viscous Flow Around a Rigid Body Performing a Time-periodic Motion	9
Global Strong Solutions of Navier–Stokes Equations for Heat-Conducting Compressible Fluids with Vacuum at Infinity	8
On the Jordan–Moore–Gibson–Thompson Wave Equation in Hereditary Fluids with Quadratic Gradient Nonlinearity	8
Perturbation Analysis for the Surface Deflection Angle of Ekman-Type Flows with Variable Eddy Viscosity	7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces	7
An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge	7
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions	7
Maximum Principle for Some Optimal Control Problems Governed by 2D Nonlocal Cahn–Hillard–Navier–Stokes Equations	7
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate	7
Weak Solvability of One Viscoelastic Fractional Dynamics Model of Continuum with Memory	6
Nonlinear Differential Equations Modeling the Antarctic Circumpolar Current	6
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains	6
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations	6
On the Local Pressure Expansion for the Navier–Stokes Equations	6

On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations	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
Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems	6
On a Non-conservative Compressible Two-Fluid Model in a Bounded Domain: Global Existence and Uniqueness	6
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow	6
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization	6
Uniqueness of Dissipative Solutions to the Complete Euler System	5
Uniqueness Result for the 3-D Navier–Stokes–Boussinesq Equations with Horizontal Dissipation	5
Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on Fluid-Structure Interaction	5
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space	5
Global Dynamics of 3-D Compressible Micropolar Fluids with Vacuum and Large Oscillations	5
Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a Simplified Isentropic Relativistic Euler Equations	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
Long-Time Behavior for Three Dimensional Compressible Viscousand Heat-Conductive Gases	5
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System	5
Dissipative Solutions to the Stochastic Euler Equations	5
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty	5
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
Decay of Solutions to the Linearized Free Surface Navier–Stokes Equations with Fractional Boundary Operators	4
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility	4
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System	4
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations	4
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space	4
On bounds for steady waves with negative vorticity	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
The Global Solvability of 3-D Inhomogeneous Viscous Incompressible Magnetohydrodynamic Equations with Bounded Density	4
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows	4
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness	4
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations	4
Well-Posedness and Stability Results for Some Periodic Muskat Problems	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
On the Exponential Decay for Compressible Navier–Stokes–Korteweg Equations with a Drag Term	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
Wave Breaking, Global Existence and Persistent Decay for the Gurevich–Zybin System	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
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	4
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion	4
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application	4
Dissipation Properties of Transport Noise in the Two-Layer Quasi-geostrophic Model	4
Generic Regularity of Conservative Solutions to the Rotational Camassa–Holm Equation	4
A Minimum Critical Blowup Rate for the High-Dimensional Navier–Stokes Equations	3

On Conditional Regularity for the MHD Equations via Partial Components	3
On a Singular Limit for the Compressible Rotating Euler System	3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations	3
Mild Criticality Breaking for the Navier–Stokes Equations	3
Relative Decay Conditions on Liouville Type Theorem for the Steady Navier–Stokes System	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
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
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation	3
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations	3
Long Time Existence and Asymptotic Behavior of Solutions for the 2D Quasi-geostrophic Equation with Large Dispersive Forcing	3
Analysis of the Small Oscillations of Two Nonmixing Fluids, the Upper Inviscid, the Lower Viscoelastic, in a Fixed Open Container	3
Orbital Bifurcations and Shoaling of Cnoidal Waves	3
Rigidity of Three-Dimensional Internal Waves with Constant Vorticity	3
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity	3
Locally Space-Time Anisotropic Regularity Criteria for the Navier–Stokes Equations in Terms of Two Vorticity Components	3
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system	3
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle	3
Global Weak Solutions to Compressible Navier–Stokes–Vlasov–Boltzmann Systems for Spray Dynamics	3
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System	3
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations	3
Rotation Problem for a Two-Phase Drop	3
On Uniqueness and Helicity Conservation of Weak Solutions to the Electron-MHD System	3
On the Self-propulsion of a Rigid Body in a Viscous Liquid by Time-Periodic Boundary Data	3
A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations	3
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity	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
Compressible Fluids Interacting with Plates: Regularity and Weak-Strong Uniqueness	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
Semiflow Selection to Models of General Compressible Viscous Fluids	3
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space	3
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Dyadic models for ideal MHD	3