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 2021-05-01 to 2025-05-01.)
ArticleCitations
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure22
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations20
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points14
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$13
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid11
Modeling of Fluid Flow in a Flexible Vessel with Elastic Walls10
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow10
On the Breakdown of Regular Solutions with Finite Energy for 3D Degenerate Compressible Navier–Stokes Equations10
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle10
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains9
Low Mach Number Limit of Full Compressible Navier–Stokes Equations with Revised Maxwell Law9
The Fujita-Kato Approach for The Navier-Stokes Equations with Moving Boundary and Its Application9
On the Space Analyticity of the Nernst–Planck–Navier–Stokes system9
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations8
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations8
Local Existence of Solutions to a Navier–Stokes-Nonlinear-Schrödinger Model of Superfluidity8
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets8
The Shallow-Water Models with Cubic Nonlinearity8
Navier–Stokes Flow Past a Rigid Body That Moves by Time-Periodic Motion7
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension7
On the Energy Equality for the Weak Time-Periodic Solutions to the Navier–Stokes Equations7
Linear Dynamics of the Semi-geostrophic Equations in Eulerian Coordinates on $${\mathbb {R}}^{3}$$7
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations7
Stratified Ocean Currents with Constant Vorticity7
On Conditional Regularity for the MHD Equations via Partial Components7
Liouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces7
Global Continuous Sonic–Supersonic Flows in Two-Dimensional Semi-infinite Divergent Ducts7
Dispersion Relations for Fixed Mean-Depth Steady Periodic Water Waves with Affine Vorticities7
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
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces6
Instability of Boundary Layers with the Navier Boundary Condition6
Liouville Type Theorems for the Planar Stationary MHD Equations with Growth at Infinity6
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity6
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary6
Rotation Problem for a Two-Phase Drop6
On 3D Hall-MHD Equations with Fractional Laplacians: Global Well-Posedness6
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media6
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure6
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation6
Euler System with a Polytropic Equation of State as a Vanishing Viscosity Limit6
A Numerical Approach for the Existence of Dissipative Weak Solutions to a Compressible Two-fluid Model5
Spatially Quasi-Periodic Solutions of the Euler Equation5
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields5
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain5
Uniqueness of Some Weak Solutions for 2D Viscous Primitive Equations5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass5
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge5
Global Wellposedness of the Primitive Equations with Nonlinear Equation of State in Critical Spaces5
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates5
The Landau–Lifshitz–Bloch Equation in the Thin Film5
Local Existence and Uniqueness of Strong Solutions to the Two Dimensional Compressible Primitive Equations with Density-Dependent Viscosity5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham5
The Existence and Uniqueness of Global Admissible Conservative Weak Solution for the Periodic Single-Cycle Pulse Equation5
Mild Criticality Breaking for the Navier–Stokes Equations5
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction5
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
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes4
Global Existence and Large–Time Behavior to a Two–Phase Flow Model with Magnetic Field4
Existence of Dissipative (and Weak) Solutions for Models of General Compressible Viscous Fluids with Linear Pressure4
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications4
Global Regularity for the Incompressible Oldroyd-B Model with Only Stress Tensor Dissipation in Critical $${{\varvec{L}}}^{{{\varvec{p}}}}$$ Framework4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers4
Global Classical Solution to the Navier–Stokes–Vlasov Equations with Large Initial Data and Reflection Boundary Conditions4
Temporal Regularity of Symmetric Stochastic p-Stokes Systems4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations4
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity4
Study of an Elliptic Partial Differential Equation Modeling the Ocean Flow in Arctic Gyres4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$4
$$L^{p}$$ Theory for the Interaction Between the Incompressible Navier–Stokes System and a Damped Plate4
Limit of a Consistent Approximation to the Complete Compressible Euler System4
Large-Time Behavior for Compressible Navier–Stokes–Fourier System in the Whole Space4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow3
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains3
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity3
Global Well-Posedness to the 3D Cauchy Problem of Nonhomogeneous Heat Conducting Navier–Stokes Equations with Vacuum and Large Oscillations3
Global Strong Solution to the Two-Dimensional Full Compressible Navier–Stokes Equations with Large Viscosity3
A Thin Film Model for Meniscus Evolution3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations3
Homogenization and Low Mach Number Limit of Compressible Navier-Stokes Equations in Critically Perforated Domains3
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System3
More on Convergence of Chorin’s Projection Method for Incompressible Navier–Stokes Equations3
Correction to: Stability Analysis for the Incompressible Navier–Stokes Equations with Navier Boundary Conditions3
Correction to: On the Nonstationary Stokes System in a Cone ($$L_p$$ Theory)3
Kinetic-Energy Instability of Flows With Slip Boundary Conditions3
On Liouville Type Theorem for the Steady Fractional Navier-Stokes Equations in $${\mathbb {R}}^3$$3
Dyadic models for ideal MHD3
Energy Equality of the 3D Navier–Stokes Equations and Generalized Newtonian Equations3
Global Well-Posedness and Boundary Layer Effects of Radially Symmetric Solutions for the Singular Keller–Segel Model3
Existence and Exponential Behavior for the Stochastic 2D Cahn–Hilliard–Oldroyd Model of Order One3
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions3
On the Symmetry and Recovery of Steady Continuously Stratified Periodic Water Waves3
Decay Rates for Strong Solutions to the Compressible Navier–Stokes Equations without Heat Conductivity3
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl3
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case3
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations3
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems3
Analysis of Contact Occurrence in Fluid–Structure Interaction System Under the Thin Film Approximation3
Refactorization of Cauchy’s Method: A Second-Order Partitioned Method for Fluid–Thick Structure Interaction Problems2
Correction to: Wellposedness and Convergence of Solutions to a Class of Forced Non-diffusive Equations with Applications2
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$2
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation2
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
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains2
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior2
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space2
Non-conservative Solutions of the Euler-$$\alpha $$ Equations2
Existence and Uniqueness of Isothermal, Slightly Compressible Stratified Flow2
On Loops in Water Wave Branches and Monotonicity of Water Waves2
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains2
Maximal Regularity for Compressible Two-Fluid System2
Existence of Dissipative Solutions to the Compressible Navier-Stokes System with Potential Temperature Transport2
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid2
Uniqueness and Bifurcation Branches for Planar Steady Navier–Stokes Equations Under Navier Boundary Conditions2
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity2
Variational Formulation of Rotational Steady Water Waves in Two-Layer Flows2
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations2
Nonlinear Stability of Solutions on the Outer Pressure Problem of Compressible Navier-Stokes System with Temperature-Dependent Heat Conductivity2
Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity2
Nonlocal Cahn–Hilliard–Hele–Shaw Systems with Singular Potential and Degenerate Mobility2
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines2
Remarks on the Solution Map for Yudovich Solutions of the Euler Equations2
Lipschitz Continuity of Solutions to Drift-Diffusion Equations in the Presence of Nonlocal Terms2
On Weak-Strong Uniqueness for Stochastic Equations of Incompressible Fluid Flow2
Spatial Behaviour of Solutions of the Moore-Gibson-Thompson Equation2
A Uniqueness Theorem for Incompressible Fluid Flows with Straight Streamlines2
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall2
Global Regularity of Shear Thickening Stokes System with Dirichlet Boundary Condition on Non-smooth Domains2
On Asymptotic Stability of the 3D Boussinesq Equations with a Velocity Damping Term2
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations2
Global Well-posedness for the Three-Dimensional Generalized Phan–Thien–Tanner Model in Critical Besov Spaces2
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing2
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model2
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations2
Steady Compressible Navier–Stokes–Fourier Equations with Dirichlet Boundary Condition for the Temperature2
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations2
Correction to: On Weak (Measure-Valued)–Strong Uniqueness for Compressible Navier–Stokes System with Non-monotone Pressure Law2
Wave Breaking for a Nonlinear Shallow Water Equation2
Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System2
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain2
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass2
Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations2
Constant Vorticity Ekman Flows in the $$\beta $$-Plane Approximation2
Navier–Stokes Equations in the Half Space with Non Compatible Data1
Exact Viscous Compressible Flow Describing the Dynamics of the Atmosphere1
Existence of Steady Solutions for a Model for Micropolar Electrorheological Fluid Flows with Not Globally log-Hölder Continuous Shear Exponent1
On the Mass Transfer in the 3D Pitaevskii Model1
Global Well-Posedness of the Ocean Primitive Equations with Nonlinear Thermodynamics1
Global Well-Posedness of 3d Axisymmetric MHD-Boussinesq System with Nonzero Swirl1
$$L^2$$-Decay of Solutions to the Navier–Stokes System with Navier-Type Boundary Conditions1
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals1
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation1
Global Convergence to Compressible Full Navier–Stokes Equations by Approximation with Oldroyd-Type Constitutive Laws1
An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model1
Injection of Fluid from a Slot into a Stream: Uniqueness1
On the Effect of Fast Rotation and Vertical Viscosity on the Lifespan of the 3D Primitive Equations1
Characterization of Three-Dimensional Euler Flows Supported on Finitely Many Fourier Modes1
On the Euler$$+$$Prandtl Expansion for the Navier-Stokes Equations1
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space1
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity1
On the Support of Anomalous Dissipation Measures1
Conjugate Points Along Kolmogorov Flows on the Torus1
Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach1
Global Small Solutions to the Inviscid Hall-MHD System1
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics1
Fully Localised Three-Dimensional Gravity-Capillary Solitary Waves on Water of Infinite Depth1
Global Well-Posedness for Two-Dimensional Flows of Viscoelastic Rate-Type Fluids with Stress Diffusion1
Global Well-Posedness for the Three-Dimensional Full Compressible Viscous Non-resistive MHD System1
The Global Solvability of the Non-conservative Viscous Compressible Two-Fluid Model with Capillarity Effects for Some Large Initial Data1
Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis1
Singular Limit in Hopf Bifurcation for Doubly Diffusive Convection Equations II: Bifurcation and Stability1
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions1
Reacting Multi-component Fluids: Regular Solutions in Lorentz Spaces1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect1
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type1
Error Estimates for the Smagorinsky Turbulence Model: Enhanced Stability Through Scale Separation and Numerical Stabilization1
On the Global Existence for the Compressible Euler–Riesz System1
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty1
Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows1
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations1
Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain1
On The Two-Dimensional Stokes Problem in Exterior Domains: The Maximum Modulus Theorem1
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions1
On Isolated Singularities for the Stationary Navier–Stokes System1
Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in $$\textbf{R}^n$$1
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables1
Measure-Valued Solutions and Weak–Strong Uniqueness for the Incompressible Inviscid Fluid–Rigid Body Interaction1
Global Classical Solutions to the Viscous Two-Phase Flow Model with Navier-type Slip Boundary Condition in 2D Bounded Domains1
Hölder Regularity of Helicity for the Incompressible Flows1
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface1
A Kato-Type Criterion for the Inviscid Limit of the Compressible Navier–Stokes System1
Gevrey Type Error Estimates of Solutions to the Navier–Stokes Equations1
Data Assimilation to the Primitive Equations with $$L^p$$-$$L^q$$-based Maximal Regularity Approach1
Theoretical and Numerical Analysis of a Simple Model Derived from Compressible Turbulence1
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel1
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations1
Fast Rotating Non-homogeneous Fluids in Thin Domains and the Ekman Pumping Effect1
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates1
The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model1
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip1
A Route to Chaos in Rayleigh–Bénard Heat Convection1
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation1
Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness1
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians1
On the Bingham Flow in a Thin Y-Like Shaped Structure1
$$W^{2,p}$$-Estimates of the Stokes System with Traction Boundary Conditions1
Periodic Capillary-Gravity Water Waves of Small Amplitude1
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points1
Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow1
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification1
Locality of Vortex Stretching for the 3D Euler Equations1
Instability of a Square Eddy Flow and the Existence of Secondary Steady-State Flow1
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity1
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