Journal of Mathematical Fluid Mechanics

Papers
(The median citation count of Journal of Mathematical Fluid Mechanics is 1. 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.)
ArticleCitations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations19
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction19
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl14
Dissipative Solutions to the Stochastic Euler Equations11
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres10
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls10
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations9
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations9
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions8
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain8
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces8
A 2D Model for Heat Transport in a Hele–Shaw Geometry8
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law8
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations7
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application7
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 Stabilization7
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system7
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals7
Wave Breaking for the Constantin–Lannes Equation Revisited7
Limit of a Consistent Approximation to the Complete Compressible Euler System7
On the Bingham Flow in a Thin Y-Like Shaped Structure7
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle7
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport7
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity6
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field6
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD6
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications6
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid6
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method6
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity6
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions6
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 Points6
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes5
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation5
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall5
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains5
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains5
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems5
On Isolated Singularities for the Stationary Navier–Stokes System5
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space5
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions5
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions5
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model5
Existence Theorems for the Steady-State Navier–Stokes Equations with Nonhomogeneous Slip Boundary Conditions in Two-dimensional Multiply-Connected Bounded Domains5
On a Sea-Breeze Flow Mathematical Model in Troposphere5
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws4
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law4
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour4
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure4
The Shallow-Water Models with Cubic Nonlinearity4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer4
Stability of Weak Electrokinetic Flow4
Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum4
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term4
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System4
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure4
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space4
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions3
Probabilistic Descriptions of Fluid Flow: A Survey3
Classical Solutions for 1D Compressible Euler Equations with Over Damping3
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity3
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations3
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes3
The Stability and Decay for the 2D Incompressible Euler-Like Equations3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations3
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity3
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations3
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation3
Non-conservative Solutions of the Euler-$$\alpha $$ Equations3
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations3
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution3
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application3
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity3
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type3
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate3
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions3
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow3
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip3
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations3
On the Stokes System in Cylindrical Domains2
Nonlinear Stability of the Inviscid Magnetic Bénard Problem2
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing2
The MHD Equations in the Lorentz Space With Time Dependent External Forces2
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space2
Maximal Regularity for Compressible Two-Fluid System2
Dyadic models for ideal MHD2
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces2
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities2
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians2
Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity2
On Conditional Regularity for the MHD Equations via Partial Components2
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations2
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl2
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations2
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations2
Pressure, Intermittency, Singularity2
Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow2
Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure2
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation2
On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification2
Rotation Problem for a Two-Phase Drop2
A Route to Chaos in Rayleigh–Bénard Heat Convection2
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations2
Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier–Stokes Equations2
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities2
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations2
Existence and Uniqueness of Isothermal, Slightly Compressible Stratified Flow2
Linear Dynamics of the Semi-geostrophic Equations in Eulerian Coordinates on $${\mathbb {R}}^{3}$$2
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity2
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves2
Sharp Interface Limit for Compressible Immiscible Two-Phase Dynamics with Relaxation2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
On Evolution of Corner-Like gSQG Patches2
On the Solvability of Weak Transmission Problem in Unbounded Domains with Non-compact Boundaries2
Numerical Analysis for a Non-isothermal Incompressible Navier–Stokes–Allen–Cahn System2
On the Global Existence for the Compressible Euler–Riesz System2
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation2
Global Regularity of Shear Thickening Stokes System with Dirichlet Boundary Condition on Non-smooth Domains2
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations2
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion2
Global Continuous Sonic–Supersonic Flows in Two-Dimensional Semi-infinite Divergent Ducts2
Wave Breaking for a Nonlinear Shallow Water Equation2
New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure2
Uniform Linear Inviscid Damping and Enhanced Dissipation Near Monotonic Shear Flows in High Reynolds Number Regime (I): The Whole Space Case2
Correction to: On the Nonstationary Stokes System in a Cone ($$L_p$$ Theory)2
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains2
Global Solutions to 2D Compressible Isothermal Navier–Stokes Equations on Thin Domains2
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions2
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points2
On Loops in Water Wave Branches and Monotonicity of Water Waves2
On The Two-Dimensional Stokes Problem in Exterior Domains: The Maximum Modulus Theorem1
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification1
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System1
Instability of Boundary Layers with the Navier Boundary Condition1
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations1
Analysis of Contact Occurrence in Fluid–Structure Interaction System Under the Thin Film Approximation1
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space1
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface1
A Thin Film Model for Meniscus Evolution1
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems1
A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions1
Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on Water of Infinite Depth1
Correction to: Wellposedness and Convergence of Solutions to a Class of Forced Non-diffusive Equations with Applications1
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics1
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains1
Conjugate Points Along Kolmogorov Flows on the Torus1
Rayleigh–Taylor Instability for Viscous Incompressible Capillary Fluids1
2D Voigt Boussinesq Equations1
Global Well-Posedness of 3d Axisymmetric MHD-Boussinesq System with Nonzero Swirl1
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain1
Strong Solution for 3D Compressible Liquid Crystal System with Random Force1
On Some Singular Limits Arising in Fluid Dynamic Modelling1
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model1
A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines1
Global Weak Solutions to the Density-Dependent Hall-Magnetohydrodynamics System1
Global Boundedness to a 3D Chemotaxis–Stokes System with Porous Medium Cell Diffusion and General Sensitivity Under Dirichlet Signal Boundary Condition1
Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in $$\textbf{R}^n$$1
Global Existence and Blow-Up Phenomena for the Hunter-Saxton Equation on the Line1
Stability for a System of the 2D Incompressible MHD Equations with Fractional Dissipation1
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System1
Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction1
On the Steadiness of Symmetric Solutions to Two Dimensional Dispersive Models1
Energy Conservation for the Compressible Euler Equations and Elastodynamics1
Local-in-Space Blow-up for a Weakly Dissipative Generalized Two-Component Camassa–Holm System1
Global Solutions to the Compressible Navier–Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains1
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces1
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity1
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media1
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables1
Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation1
Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport1
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle1
Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces1
Lipschitz Continuity of Solutions to Drift-Diffusion Equations in the Presence of Nonlocal Terms1
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains1
A Hopf Bifurcation in the Planar Navier–Stokes Equations1
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit1
Loss of Regularity for the 2D Euler Equations1
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension1
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity1
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation1
Exact Solution and Instability for Saturn’s Stratified Circumpolar Atmospheric Flow1
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity1
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations1
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion1
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid1
Partial Regularity for Navier-Stokes Equations1
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations1
Stratified Ocean Currents with Constant Vorticity1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis1
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect1
The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System1
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations1
Periodic Capillary-Gravity Water Waves of Small Amplitude1
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