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 2021-09-01 to 2025-09-01.)
ArticleCitations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations27
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points21
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid18
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains11
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure11
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow11
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law11
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application10
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$10
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle10
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity9
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$9
The Shallow-Water Models with Cubic Nonlinearity9
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system9
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework8
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves8
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations8
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain8
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets8
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations8
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion8
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations7
Rotation Problem for a Two-Phase Drop7
Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle7
Instability of Boundary Layers with the Navier Boundary Condition7
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations7
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces7
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities7
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit7
Stratified Ocean Currents with Constant Vorticity7
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media6
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure6
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation6
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces6
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation6
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary6
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation6
The Landau–Lifshitz–Bloch Equation in the Thin Film6
Local-in-Space Blow-up for a Weakly Dissipative Generalized Two-Component Camassa–Holm System6
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces6
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity6
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model6
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces6
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates5
Spatially Quasi-Periodic Solutions of the Euler Equation5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities5
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham5
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction5
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain5
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge5
Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations5
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass5
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields5
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data5
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces5
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space5
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers4
Temporal Regularity of Symmetric Stochastic p-Stokes Systems4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application4
Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional4
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions4
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications4
Inhomogenous Navier–Stokes Equations with Unbounded Density4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
Dyadic models for ideal MHD4
Limit of a Consistent Approximation to the Complete Compressible Euler System4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity4
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$4
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate4
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations4
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field4
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities3
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations3
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior3
Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production3
Existence and Exponential Behavior for the Stochastic 2D Cahn–Hilliard–Oldroyd Model of Order One3
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model3
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity3
A Thin Film Model for Meniscus Evolution3
A Well-Posedness Result for the Compressible Two-Fluid Model with Density-Dependent Viscosity3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations3
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations3
Thermal Convection in a Higher Velocity Gradient and Higher Temperature Gradient Fluid3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System3
Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity3
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems3
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing2
The Global Solvability of the Non-conservative Viscous Compressible Two-Fluid Model with Capillarity Effects for Some Large Initial Data2
A Kato-Type Criterion for the Inviscid Limit of the Compressible Navier–Stokes System2
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport2
Navier–Stokes Equations in the Half Space with Non Compatible Data2
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall2
Lipschitz Continuity of Solutions to Drift-Diffusion Equations in the Presence of Nonlocal Terms2
Non-conservative Solutions of the Euler-$$\alpha $$ Equations2
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System2
On Loops in Water Wave Branches and Monotonicity of Water Waves2
Global Large Strong Solutions of Radially Symmetric Compressible MHD Equations in 2D Discs2
Maximal Regularity for Compressible Two-Fluid System2
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space2
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions2
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$2
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation2
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations2
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid2
On the Mass Transfer in the 3D Pitaevskii Model2
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion2
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions2
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface2
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations2
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain2
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation2
Existence and Uniqueness of Isothermal, Slightly Compressible Stratified Flow2
A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines2
On the Effect of a Large Cloud of Rigid Particles on the Motion of an Incompressible Non–Newtonian Fluid2
Global Regularity of Shear Thickening Stokes System with Dirichlet Boundary Condition on Non-smooth Domains2
Steady Compressible Navier–Stokes–Fourier Equations with Dirichlet Boundary Condition for the Temperature2
Fractional Voigt-Regularization of the 3D Navier–Stokes and Euler Equations: Global Well-Posedness and Limiting Behavior2
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model2
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$2
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows2
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation2
Fast Rotating Non-homogeneous Fluids in Thin Domains and the Ekman Pumping Effect2
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term2
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity2
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains2
Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on Water of Infinite Depth2
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow2
Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data2
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations2
Wave Breaking for a Nonlinear Shallow Water Equation2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity2
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations2
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space2
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions2
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility2
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics1
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain1
A Note on Local Regularity of Axisymmetric Solutions to the Navier–Stokes Equations1
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations1
Stability of Strong Solutions to the Full Compressible Magnetohydrodynamic System with Non-Conservative Boundary Conditions1
Injection of Fluid from a Slot into a Stream: Uniqueness1
Exact Viscous Compressible Flow Describing the Dynamics of the Atmosphere1
On a Two-Component Shallow-Water Model with the Weak Coriolis and Equatorial Undercurrent Effects1
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals1
Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach1
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation1
On the Global Existence for the Compressible Euler–Riesz System1
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity1
Existence of Steady Solutions for a Model for Micropolar Electrorheological Fluid Flows with Not Globally log-Hölder Continuous Shear Exponent1
Time Evolution of the Navier–Stokes Flow in Far-Field1
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip1
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables1
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws1
The Global Solvability of 3-D Inhomogeneous Viscous Incompressible Magnetohydrodynamic Equations with Bounded Density1
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations1
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space1
Global Small Solutions to the Inviscid Hall-MHD System1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect1
On the Bingham Flow in a Thin Y-Like Shaped Structure1
Stability and Exponential Decay for the 2D Anisotropic Navier–Stokes Equations with Horizontal Dissipation1
Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows1
Periodic Capillary-Gravity Water Waves of Small Amplitude1
$$W^{2,p}$$-Estimates of the Stokes System with Traction Boundary Conditions1
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel1
On The Two-Dimensional Stokes Problem in Exterior Domains: The Maximum Modulus Theorem1
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization1
Locality of Vortex Stretching for the 3D Euler Equations1
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations1
Conjugate Points Along Kolmogorov Flows on the Torus1
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes1
Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains1
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation1
Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case1
On the Support of Anomalous Dissipation Measures1
A Route to Chaos in Rayleigh–Bénard Heat Convection1
Energy Equality for the Compressible Primitive Equations with Vacuum1
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions1
Theoretical and Numerical Analysis of a Simple Model Derived from Compressible Turbulence1
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians1
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity1
Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis1
Reacting Multi-component Fluids: Regular Solutions in Lorentz Spaces1
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier–Stokes Equation in $$\mathbb {R}^3$$1
Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness1
Gevrey Type Error Estimates of Solutions to the Navier–Stokes Equations1
Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in $$\textbf{R}^n$$1
Hölder Regularity of Helicity for the Incompressible Flows1
An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model1
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty1
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model1
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations1
On Isolated Singularities for the Stationary Navier–Stokes System1
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type1
Instability of a Square Eddy Flow and the Existence of Secondary Steady-State Flow1
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions1
Global Well-Posedness and Asymptotic Behavior of Strong Solutions to an Initial-Boundary Value Problem of 3D Full Compressible MHD Equations1
An Explicit Threshold for the Appearance of Lift on the Deck of a Bridge1
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points1
Global Solutions and Asymptotic Behavior for the Three-dimensional Viscous Non-resistive MHD System with Some Large Perturbations1
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification1
Data Assimilation to the Primitive Equations with $$L^p$$-$$L^q$$-based Maximal Regularity Approach1
Global Well-Posedness of 3d Axisymmetric MHD-Boussinesq System with Nonzero Swirl1
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates1
Asymptotic Criticality of the Navier–Stokes Regularity Problem1
0.055534839630127