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 2022-05-01 to 2026-05-01.)
ArticleCitations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations16
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow15
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains13
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$13
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid12
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure12
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points11
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle11
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application11
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations10
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework10
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$10
Effect of Weak Elasticity on the Kelvin-Helmholtz Instability9
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets9
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension9
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves9
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations9
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations9
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain9
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit8
Instability of Boundary Layers with the Navier Boundary Condition8
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation8
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces8
Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle8
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure8
Steady Compressible Navier-Stokes-Fourier System with Slip Boundary Conditions Arising from Kinetic Theory8
Stratified Ocean Currents with Constant Vorticity8
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary8
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation8
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media7
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model7
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity7
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation7
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces7
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass6
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain6
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields6
The Landau–Lifshitz–Bloch Equation in the Thin Film6
Spatially Quasi-Periodic Solutions of the Euler Equation6
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction6
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates6
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data6
Explicit Two-Dimensional Solution for a Model of the Antarctic Circumpolar Current6
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge5
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity5
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications5
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights5
Forward Self-similar Solutions to the MHD Type System in the Half Space5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham5
Inhomogenous Navier–Stokes Equations with Unbounded Density5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities5
Asymptotic Behavior of Solutions to Compressible Euler Equations with Time and Space Dependent Damping5
Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations5
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers5
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field5
Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application4
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case4
Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations4
A Thin Film Model for Meniscus Evolution4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions4
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations4
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations4
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow4
Determination of Time Dependent Source Terms for Stokes Systems in Unbounded Domains4
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity4
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl4
Thermal Convection in a Higher Velocity Gradient and Higher Temperature Gradient Fluid3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System3
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space3
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case3
Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case3
Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems3
Spatial Pointwise Behavior of Gradient of Navier-Stokes Flow Around a Rigid Body Moving by Time-Periodic Motion, with Applications to Stability/attainability of time-periodic Flow3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines3
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space3
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation3
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations3
A Well-Posedness Result for the Compressible Two-Fluid Model with Density-Dependent Viscosity3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains3
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity3
On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations3
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall2
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations2
Shallow Water Asymptotic Model of Equatorial Currents in Rotating Spherical Coordinates2
On a Two-Component Shallow-Water Model with the Weak Coriolis and Equatorial Undercurrent Effects2
Locality of Vortex Stretching for the 3D Euler Equations2
Wave Breaking for a Nonlinear Shallow Water Equation2
On the Mass Transfer in the 3D Pitaevskii Model2
Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data2
A Kato-Type Criterion for the Inviscid Limit of the Compressible Navier–Stokes System2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions2
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion2
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations2
Gevrey Type Error Estimates of Solutions to the Navier–Stokes Equations2
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow2
Global Large Strong Solutions of Radially Symmetric Compressible MHD Equations in 2D Discs2
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$2
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid2
Hölder Regularity of Helicity for the Incompressible Flows2
Dynamical Stability of Transonic Shock Solutions to Euler-Poisson System in an Annulus2
Fast Rotating Non-homogeneous Fluids in Thin Domains and the Ekman Pumping Effect2
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation2
Stability of Strong Solutions to the Full Compressible Magnetohydrodynamic System with Non-Conservative Boundary Conditions2
A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines2
The Global Solvability of the Non-conservative Viscous Compressible Two-Fluid Model with Capillarity Effects for Some Large Initial Data2
Convergence of a Second-Order Projection Method to Leray-Hopf Solutions of the Incompressible Navier-Stokes Equations2
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity2
The Estimate of Singular Set of Weak Solution to MHD Equations2
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains2
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions2
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport2
On the Effect of a Large Cloud of Rigid Particles on the Motion of an Incompressible Non–Newtonian Fluid2
On Loops in Water Wave Branches and Monotonicity of Water Waves2
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel2
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty2
On a Generalized System with Applications to Ideal Magnetohydrodynamics2
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain2
An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model2
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations2
Fractional Voigt-Regularization of the 3D Navier–Stokes and Euler Equations: Global Well-Posedness and Limiting Behavior2
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface2
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing2
Navier–Stokes Equations in the Half Space with Non Compatible Data2
Non-conservative Solutions of the Euler-$$\alpha $$ Equations2
Solitary Electrohydrodynamic Waves with Submerged Point Vortices2
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
Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect1
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points1
Energy Equality for the Compressible Primitive Equations with Vacuum1
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations1
Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in $$\textbf{R}^n$$1
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics1
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation1
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity1
The Zero-Mach Limit of Compressible Navier-Stokes Equations in Bounded Domains with Non-slip Boundary Condition1
On the Well-Posedness and Decay Rates of Solutions to the Poisson–Nernst–Planck–Navier–Stokes System1
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation1
Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains1
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
Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach1
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 Two-Dimensional Stokes Problem in Exterior Domains: The Maximum Modulus Theorem1
Data Assimilation to the Primitive Equations with $$L^p$$-$$L^q$$-based Maximal Regularity Approach1
Injection of Fluid from a Slot into a Stream: Uniqueness1
On the Support of Anomalous Dissipation Measures1
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes1
Global Well-Posedness of 3d Axisymmetric MHD-Boussinesq System with Nonzero Swirl1
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space1
Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows1
Conjugate Points Along Kolmogorov Flows on the Torus1
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables1
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions1
Global Existence and Vanishing Dispersion Limit of Strong/Classical Solutions to the One-dimensional Compressible Quantum Navier-Stokes Equations with Large Initial Data1
Constrained nonstationary incompressible Oseen-Navier-Stokes system with leak and slip boundary conditions: existence and optimal control1
Strong Convergence of Low Mach Number Limit for the Compressible Navier–Stokes Equations in the Scaling Critical Spaces1
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals1
Asymptotic Criticality of the Navier–Stokes Regularity Problem1
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model1
Global Well-Posedness and Asymptotic Behavior of Strong Solutions to an Initial-Boundary Value Problem of 3D Full Compressible MHD Equations1
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions1
Existence of Steady Solutions for a Model for Micropolar Electrorheological Fluid Flows with Not Globally log-Hölder Continuous Shear Exponent1
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates1
$$W^{2,p}$$-Estimates of the Stokes System with Traction Boundary Conditions1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis1
Periodic Capillary-Gravity Water Waves of Small Amplitude1
Global Well-Posedness of Surface Waves for the Compressible Euler Equations with Damping1
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification1
The Validity of Decoupled Kadomtsev-Petviashvili/ Zakharov-Kuznetsov Equations from Multi-Dimensional Euler-Poisson System1
Global Solutions and Asymptotic Behavior for the Three-dimensional Viscous Non-resistive MHD System with Some Large Perturbations1
A Class of Fluid-Structure Interaction Problems with Analytical Solutions for the Validation of Numerical Methods1
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians1
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations1
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip1
Localized Blow-Up Criterion for $$ C^{ 1, \alpha } $$ Solutions to the 3D Incompressible Euler Equations1
Stability of the Couette Flow for 2D Boussinesq Equations with Only Vertical Dissipation1
The Motion of a Rigid Body in a Viscous Fluid: Results for Strong Solutions, Uniqueness and Integrability Properties1
On Isolated Singularities for the Stationary Navier–Stokes System1
Saint-Venant Estimates and Liouville-Type Theorems for the Stationary Navier–Stokes Equation in $$\mathbb {R}^3$$1
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations1
Time Evolution of the Navier–Stokes Flow in Far-Field1
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