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 2021-02-01 to 2025-02-01.)
ArticleCitations
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport15
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations14
Wave Breaking for the Constantin–Lannes Equation Revisited13
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field11
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow11
Symmetrization and Local Existence of Strong Solutions for Diffuse Interface Fluid Models9
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure9
A 2D Model for Heat Transport in a Hele–Shaw Geometry8
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$8
Weighted Energy Estimates for the Incompressible Navier–Stokes Equations and Applications to Axisymmetric Solutions Without Swirl8
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law8
On the Incompressible Limit of a Strongly Stratified Heat Conducting Fluid7
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction7
Existence of a Stationary Navier–Stokes Flow Past a Rigid Body, with Application to Starting Problem in Higher Dimensions7
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid7
Dissipative Solutions to the Stochastic Euler Equations7
A Slightly Supercritical Condition of Regularity of Axisymmetric Solutions to the Navier–Stokes Equations7
Existence of Weak Solution to the Nonstationary Navier-Stokes Equations Approximated by Pressure Stabilization Method6
Global Well-Posedness of a Two–Component b–Family Equations in $$H^{s-1,p}({\mathbb {R}})\times H^{s,p}({\mathbb {R}})$$6
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations6
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications6
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains6
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres6
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls6
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term6
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle6
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain6
The Shallow-Water Models with Cubic Nonlinearity6
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space6
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system6
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes5
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems5
On the Bingham Flow in a Thin Y-Like Shaped Structure5
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization5
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations5
Limit of a Consistent Approximation to the Complete Compressible Euler System5
On bounds for steady waves with negative vorticity5
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains5
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 the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions5
Motion of Rigid Bodies of Arbitrary Shape in a Viscous Incompressible Fluid: Wellposedness and Large Time Behaviour5
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points5
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$5
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations5
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity5
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application5
On the Existence and Temporal Asymptotics of Solutions for the Two and Half Dimensional Hall MHD4
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity4
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces4
On a Sea-Breeze Flow Mathematical Model in Troposphere4
On Evolution of Corner-Like gSQG Patches4
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity4
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes4
Boundary Regularity for the Steady Generalized Newtonian Flow with Shear Thickening Viscosity4
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall4
Local Existence and Uniqueness of Heat Conductive Compressible Navier–Stokes Equations in the Presence of Vacuum Without Initial Compatibility Conditions4
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation4
Stability of Weak Electrokinetic Flow4
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations4
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
Dynamics of the Restricted $$(N+1)$$-Vortex Problem with a Regular Polygon Distribution4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions4
On Isolated Singularities for the Stationary Navier–Stokes System4
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals4
Remark on the Local Well-Posedness of Compressible Non-Newtonian Fluids with Initial Vacuum4
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations4
On the Steady Flows of Viscous Compressible Magnetohydrodynamic Equations in an Infinite Horizontal Layer4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application4
Classical Solutions for 1D Compressible Euler Equations with Over Damping4
A Sharp Version of the Benjamin and Lighthill Conjecture for Steady Waves with Vorticity3
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws3
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates3
Non-conservative Solutions of the Euler-$$\alpha $$ Equations3
On the Explicit Solutions of Separation of Variables Type for the Incompressible 2D Euler Equations3
Variable Eddy Viscosities in the Atmospheric Boundary Layer from Ageostrophic Wind-Speed Profiles3
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations3
Uniqueness of Dissipative Solutions to the Complete Euler System3
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations3
A Fully Space-Time Least-Squares Method for the Unsteady Navier–Stokes System3
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation3
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity3
The Stability and Decay for the 2D Incompressible Euler-Like Equations3
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions3
Probabilistic Descriptions of Fluid Flow: A Survey3
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations3
The MHD Equations in the Lorentz Space With Time Dependent External Forces3
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points3
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation3
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow3
Pullback Attractors for Non-Newtonian Fluids with Shear Dependent Viscosity3
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate3
Time-Periodic Weak Solutions to Incompressible Generalized Newtonian Fluids3
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations3
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities2
Global Regularity of Shear Thickening Stokes System with Dirichlet Boundary Condition on Non-smooth Domains2
Asymptotic Behavior of Weak Solutions to the Inhomogeneous Navier–Stokes Equations2
The Optimal Temporal Decay Rates for Compressible Hall-magnetohydrodynamics System2
Numerical Analysis for a Non-isothermal Incompressible Navier–Stokes–Allen–Cahn System2
Stability for a System of the 2D Incompressible MHD Equations with Fractional Dissipation2
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
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law2
On the Steadiness of Symmetric Solutions to Two Dimensional Dispersive Models2
On Formation of Singularity for Full Compressible Navier–Stokes System with Zero Heat Conduction2
Energy Conservation for the Compressible Euler Equations and Elastodynamics2
On the Cauchy Problem for the Pressureless Euler–Navier–Stokes System in the Whole Space2
Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity2
Dyadic models for ideal MHD2
On the Hydrostatic Approximation of Compressible Anisotropic Navier–Stokes Equations–Rigorous Justification2
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations2
A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines2
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces2
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid2
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities2
Stability of Non-constant Equilibrium Solutions for the Full Compressible Navier–Stokes–Maxwell System2
Wave Breaking for a Nonlinear Shallow Water Equation2
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain2
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow2
Linear Dynamics of the Semi-geostrophic Equations in Eulerian Coordinates on $${\mathbb {R}}^{3}$$2
Pressure, Intermittency, Singularity2
On the Non-diffusive Magneto-Geostrophic Equation2
Partial Asymptotic Dimension Reduction for Steady State Non-Newtonian Flow with Strain Rate Dependent Viscosity in Thin Tube Structure2
A Route to Chaos in Rayleigh–Bénard Heat Convection2
Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier–Stokes Equations2
On the Stokes System in Cylindrical Domains2
Existence and Uniqueness of Isothermal, Slightly Compressible Stratified Flow2
Sturm-Liouville Boundary Value Problem for a Sea-Breeze Flow2
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing2
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case2
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics2
A Thin Film Model for Meniscus Evolution2
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions2
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians2
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets2
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables2
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions2
On the Solvability of Weak Transmission Problem in Unbounded Domains with Non-compact Boundaries2
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type2
Conjugate Points Along Kolmogorov Flows on the Torus2
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions2
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space2
On Some Singular Limits Arising in Fluid Dynamic Modelling2
New Regularity Criteria for Weak Solutions to the MHD Equations in Terms of an Associated Pressure2
2D Voigt Boussinesq Equations1
Dispersive Estimates for Full Dispersion KP Equations1
Global Solutions to 2D Compressible Isothermal Navier–Stokes Equations on Thin Domains1
Global Existence and Blow-Up Phenomena for the Hunter-Saxton Equation on the Line1
Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on Water of Infinite Depth1
On the Global Existence for the Compressible Euler–Riesz System1
Periodic Capillary-Gravity Water Waves of Small Amplitude1
Instability of Unidirectional Flows for the 2D Navier–Stokes Equations and Related $$\alpha $$-Models1
Singular Limit for Rotating Compressible Fluids with Centrifugal Force in a Finite Cylinder1
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces1
On Loops in Water Wave Branches and Monotonicity of Water Waves1
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations1
Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness1
Correction to: On the Nonstationary Stokes System in a Cone ($$L_p$$ Theory)1
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface1
Well-Posedness of Solutions to Stochastic Fluid–Structure Interaction1
Nonlinear Stability of the Inviscid Magnetic Bénard Problem1
Local-in-Space Blow-up for a Weakly Dissipative Generalized Two-Component Camassa–Holm System1
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations1
Wentzell–Freidlin Large Deviation Principle for Stochastic Convective Brinkman–Forchheimer Equations1
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves1
Forces for the Navier–Stokes Equations and the Koch and Tataru Theorem1
A Hopf Bifurcation in the Planar Navier–Stokes Equations1
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains1
Homogenization of the Full Compressible Navier-Stokes-Fourier System in Randomly Perforated Domains1
Explicit Solutions to the 3D Incompressible Euler Equations in Lagrangian Formulation1
Global Boundedness to a 3D Chemotaxis–Stokes System with Porous Medium Cell Diffusion and General Sensitivity Under Dirichlet Signal Boundary Condition1
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations1
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System1
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations1
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis1
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations1
Rotation Problem for a Two-Phase Drop1
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary1
Non-uniform Dependence on Initial Data for the Generalized Camassa–Holm–Novikov Equation in Besov Space1
A Consistent Stochastic Large-Scale Representation of the Navier–Stokes Equations1
Navier–Stokes Equations in the Half Space with Non Compatible Data1
On the Stokes-Type Resolvent Problem Associated with Time-Periodic Flow Around a Rotating Obstacle1
Microscopic Expression of Anomalous Dissipation in Passive Scalar Transport1
On The Two-Dimensional Stokes Problem in Exterior Domains: The Maximum Modulus Theorem1
A Priori Error Analysis and Finite Element Approximations for a Coupled Model Under Nonlinear Slip Boundary Conditions1
Strong Solution for 3D Compressible Liquid Crystal System with Random Force1
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl1
Lipschitz Continuity of Solutions to Drift-Diffusion Equations in the Presence of Nonlocal Terms1
Maximal Regularity for Compressible Two-Fluid System1
Uniform Linear Inviscid Damping and Enhanced Dissipation Near Monotonic Shear Flows in High Reynolds Number Regime (I): The Whole Space Case1
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension1
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media1
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations1
Dissipative Solutions to Compressible Navier–Stokes Equations with General Inflow–Outflow Data: Existence, Stability and Weak Strong Uniqueness1
Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces1
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness1
Global Weak Solutions to the Density-Dependent Hall-Magnetohydrodynamics System1
Symmetric Waves are Traveling Waves for the Rotation-Camassa–Holm Equation1
Instability of Boundary Layers with the Navier Boundary Condition1
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System1
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity1
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations1
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion1
Analysis of Contact Occurrence in Fluid–Structure Interaction System Under the Thin Film Approximation1
Correction to: Wellposedness and Convergence of Solutions to a Class of Forced Non-diffusive Equations with Applications1
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity1
Existence for a Quasi-Static Interaction Problem Between a Viscous Fluid and an Active Structure1
Exact Solution and Instability for Saturn’s Stratified Circumpolar Atmospheric Flow1
Rayleigh–Taylor Instability for Viscous Incompressible Capillary Fluids1
Stratified Ocean Currents with Constant Vorticity1
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model1
On Conditional Regularity for the MHD Equations via Partial Components1
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation1
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation1
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