Journal of Mathematical Fluid Mechanics

Article	Citations
Local Regularity Criteria in Terms of One Velocity Component for the Navier–Stokes Equations	17
Global Existence of Strong Solutions and Serrin-Type Blowup Criterion for 3D Combustion Model in Bounded Domains	16
Number of Singular Points and Energy Equality for the Co-rotational Beris–Edwards System Modeling Nematic Liquid Crystal Flow	16
The Existence and Non-Uniqueness of Global Weak Solution to a New Integrable System in $$H^1(\mathbb {R})$$	15
On the Existence of Weak Solutions for the 2D Incompressible Euler Equations with In–Out Flow and Source and Sink Points	13
Global Existence of Strong Solutions to the Cauchy Problem for a One-Dimensional Compressible Non-Newtonian Fluid	13
Spatial Pointwise Behavior of Time-Periodic Navier–Stokes Flow Induced by Oscillation of a Moving Obstacle	12
Well-Posedness for the Incompressible Hall-MHD System with Initial Magnetic Field Belonging to $$H^{\frac{3}{2}}({\mathbb {R}}^3)$$	11
On the Inviscid Limit Connecting Brinkman’s and Darcy’s Models of Tissue Growth with Nonlinear Pressure	10
Asymptotic Stability of Landau Solutions to Navier–Stokes System Under $$L^p$$-Perturbations	10
Augmented Lagrangian Acceleration of Global-in-Time Pressure Schur Complement Solvers for Incompressible Oseen Equations	10
Combination of Osgood and Nagumo-Type Uniqueness for Nonlinear Differential Equations	10
Temperature Dependent Precipitation in Exact Nonlinear Mountain Waves	10
Incompressible Navier–Stokes–Fourier Limit of the Steady Boltzmann Equation with Linear Boundary Condition in an Exterior Domain	10
The Pressureless Damped Euler-Riesz System in the Critical Regularity Framework	10
Effect of Weak Elasticity on the Kelvin-Helmholtz Instability	10
Steady Compressible Navier-Stokes-Fourier System with Slip Boundary Conditions Arising from Kinetic Theory	9
The Lagrangian Formulation for Wave Motion with a Shear Current and Surface Tension	9
On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary	9
Stratified Ocean Currents with Constant Vorticity	9
Linear Instability of Symmetric Logarithmic Spiral Vortex Sheets	9
Local Weak Solution of the Isentropic Compressible Navier–Stokes Equations with Variable Viscosity	9
Supersonic Euler Flow Through a Two-dimensional Finite Straight Nozzle	9
Energy Conservation for the Generalized Surface Quasi-geostrophic Equation	8
A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation	8

Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media	8
On the Continuity of the Solution Map of the Euler–Poincaré Equations in Besov Spaces	8
The Landau–Lifshitz–Bloch Equation in the Thin Film	7
Global Classical Solution to the Strip Problem of 2D Compressible Navier–Stokes System with Vacuum and Large Initial Data	7
Numerical Investigations of Non-uniqueness for the Navier–Stokes Initial Value Problem in Borderline Spaces	7
A Method for Finding Exact Solutions to the 2D and 3D Euler–Boussinesq Equations in Lagrangian Coordinates	7
Energy Equality Criteria in the Navier–Stokes Equations Involving the Pressure	7
Stability of Time-Dependent Motions for Fluid–Rigid Ball Interaction	6
Finite Difference Methods for Linear Transport Equations with Sobolev Velocity Fields	6
Global Existence and Blow-Up for the Euler-Poincaré Equations with a Class of Initial Data	6
A Nonlinear Elliptic PDE from Atmospheric Science: Well-Posedness and Regularity at Cloud Edge	6
Spatially Quasi-Periodic Solutions of the Euler Equation	6
Explicit Two-Dimensional Solution for a Model of the Antarctic Circumpolar Current	6
No-Slip Boundary Condition for Vorticity Equation in 2D Exterior Domain	6
Stationary Solutions to the Navier–Stokes System in an Exterior Plane Domain: 90 Years of Search, Mysteries and Insights	5
Asymptotic Behavior of Solutions to Compressible Euler Equations with Time and Space Dependent Damping	5
Mathematical Analysis of a Diffuse Interface Model for Multi-phase Flows of Incompressible Viscous Fluids with Different Densities	5
Forward Self-similar Solutions to the MHD Type System in the Half Space	5
From Bipolar Euler-Poisson System to Unipolar Euler-Poisson One in the Perspective of Mass	5
Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations	5
Blowup Phenomenon of Ideal Compressible Non-isentropic Magnetohydrodynamic Equations with Radius Weighted Functional	5
Diffusion Enhancement and Taylor Dispersion for Rotationally Symmetric Flows in Discs and Pipes	5
The Navier–Stokes Cauchy Problem in a Class of Weighted Function Spaces	5
Nowhere-Uniform Continuity of the Data-to-Solution Map for the Two-Component Fornberg–Whitham	5
Temporal Regularity of Symmetric Stochastic p-Stokes Systems	5
$$H^\infty $$-Calculus for the Surface Stokes Operator and Applications	4
Inhomogenous Navier–Stokes Equations with Unbounded Density	4
On the Amplitude of Steady Water Waves with Favorable Constant Vorticity	4
Determination of Time Dependent Source Terms for Stokes Systems in Unbounded Domains	4
Existence of Global Weak Solutions to a Parabolic p-Laplacian Problem with Convective Term	4
Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers	4
Global Smooth Solution for Navier–Stokes/Poisson–Nernst–Planck System in $${\mathbb {R}}^{2}$$	4
Global Existence and Analyticity of the Equatorial Ocean Flow Model in Critical Besov Spaces	4
Kinetic-Energy Instability of Flows With Slip Boundary Conditions	4
TKE Model Involving the Distance to the Wall—Part 1: The Relaxed Case	4
Stability of Stationary Solutions to the Nonisentropic Euler–Poisson System in a Perturbed Half Space	4
A Sharp Global Boundedness Result for Keller–Segel–(Navier–)Stokes Systems with Rapid Diffusion and Saturated Sensitivities	4
An Inverse Problem for Determining the Shape of the Wedge in Steady Supersonic Potential Flow	4
A Parallel Finite Element Discretization Algorithm Based on Grad-Div Stabilization for the Navier–Stokes Equations	4
Wong–Zakai Approximation for a Class of SPDEs with Fully Local Monotone Coefficients and Its Application	4
On the Design of Global-in-Time Newton-Multigrid-Pressure Schur Complement Solvers for Incompressible Flow Problems	3
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 Flow	3
Global Regular Axially-Symmetric Solutions to the Navier–Stokes Equations with Small Swirl	3
Homogenization of Evolutionary Incompressible Navier–Stokes System in Perforated Domains	3
Mathematical Justification of a Baer–Nunziato Model for a Compressible Viscous Fluid with Phase Transition	3
Singular Limit for the Compressible Navier–Stokes Equations with the Hard Sphere Pressure Law on Expanding Domains	3
The Helmholtz Decomposition of a BMO Type Vector Field in a Slightly Perturbed Half Space	3
Homogenization of Non-Homogeneous Incompressible Navier–Stokes System in Critically Perforated Domains	3
Spectral Stability of Multi-Solitons for the Kaup-Kupershmidt Equation	3
Long-Term Existence for Perturbed Multiple Gas Balls and Their Asymptotic Behavior	3

Global Weak Solutions in a Three-dimensional Keller–Segel–Navier–Stokes System with Flux Limitation and Superlinear Production	3
A Well-Posedness Result for the Compressible Two-Fluid Model with Density-Dependent Viscosity	3
Construction of Low Regularity Strong Solutions to the Viscous Surface Wave Equations	3
A Priori Estimates for the Motion of Charged Liquid Drop: A Dynamic Approach via Free Boundary Euler Equations	3
Weak-strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities	3
Weak Solutions of 3D Compressible Navier–Stokes Equations in Critical Case	3
On the Effect of a Large Cloud of Rigid Particles on the Motion of an Incompressible Non–Newtonian Fluid	3
2D/3D Fully Decoupled, Unconditionally Energy Stable Rotational Velocity Projection Method for Incompressible MHD System	3
Regularity, Uniqueness and the Relative Size of Small and Large Scales in SQG Flows	3
Asymptotic Stability of Rarefaction Waves for Hyperbolized Compressible Navier–Stokes Equations	3
On the Steadiness of Symmetric Solutions to Higher Order Perturbations of KdV	3
Large Time Behavior of Solutions to the 3D Rotating Navier–Stokes Equations	3
A Thin Film Model for Meniscus Evolution	3
$$L^{r}$$-Results of the Stationary Navier–Stokes Equations with Nonzero Velocity at Infinity	3
Asymptotic Stability of Composite Waves of Two Viscous Shocks for Relaxed Compressible Navier-Stokes Equations	3
Thermal Convection in a Higher Velocity Gradient and Higher Temperature Gradient Fluid	3
Regularity Criterion for the 3D Navier–Stokes Equations in the Boardline Case	3
On the Stability of Steady-State Solutions to the Navier–Stokes Equations in the Whole Space	3
Allen–Cahn–Navier–Stokes–Voigt Systems with Moving Contact Lines	3
Dispersive Phenomena on the Hall-MHD System Around the Constant Equilibrium State in the General Dissipative Coefficients Case	3
Mathematical Theory of Compressible Magnetohydrodynamics Driven by Non-conservative Boundary Conditions	3
On the Mass Transfer in the 3D Pitaevskii Model	2
Dynamical Stability of Transonic Shock Solutions to Euler-Poisson System in an Annulus	2
Two-Phase Flows with Bulk–Surface Interaction: Thermodynamically Consistent Navier–Stokes–Cahn–Hilliard Models with Dynamic Boundary Conditions	2
Asymptotic Behavior of the Hall Magnetohydrodynamic Model for Quantum Plasmas	2
Thermohaline Convections in the Horizontal Layer with Non-Uniform Heat Supply	2
Continuous Data Assimilation For 2D Stochastic Navier–Stokes Equations	2
Global Large Strong Solutions of Radially Symmetric Compressible MHD Equations in 2D Discs	2
Ill-Posedness of the Novikov Equation in the Critical Besov Space $$B^{1}_{\infty ,1}(\mathbb {R})$$	2
Global Strong Solutions to the Cauchy Problem of Three-dimensional Isentropic Magnetohydrodynamics Equations with Large Initial Data	2
Asymptotic Properties of Steady Plane Solutions of the Navier–Stokes Equations in a Cone-Like Domain	2
Gevrey Type Error Estimates of Solutions to the Navier–Stokes Equations	2
Large-Time Behavior of Global Solutions to the Cauchy Problem of the Planar Compressible Magnetohydrodynamic Equations	2
Fractional Voigt-Regularization of the 3D Navier–Stokes and Euler Equations: Global Well-Posedness and Limiting Behavior	2
The Regularity of Very Weak Solutions to Magneto-Hydrodynamics Equations	2
Convergence of a Second-Order Projection Method to Leray-Hopf Solutions of the Incompressible Navier-Stokes Equations	2
Improved Well-Posedness for the Triple-Deck and Related Models via Concavity	2
Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations	2
Global Well-Posedness of Classical Solutions to the Compressible Navier–Stokes–Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains	2
An Inverse Problem for Steady Supersonic Potential Flow Past a Bending Wall	2
Global Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations	2
Refined Pointwise Estimates for Solutions to the 1D Barotropic Compressible Navier–Stokes Equations: An Application to the Long-Time Behavior of a Point Mass	2
Stability of Strong Solutions to the Full Compressible Magnetohydrodynamic System with Non-Conservative Boundary Conditions	2
Navier–Stokes Equations in the Half Space with Non Compatible Data	2
On the Local Existence of Solutions to the compressible Navier–Stokes-Wave System with a Free Interface	2
Shallow Water Asymptotic Model of Equatorial Currents in Rotating Spherical Coordinates	2
Stabilizing Effect of the Magnetic Field and Large-Time Behavior of 2D Incompressible MHD System with Vertical Dissipation	2
The Non-zonal Rossby–Haurwitz Solutions of the 2D Euler Equations on a Rotating Ellipsoid	2
Uniform $$L^p$$ Estimates for Solutions to the Inhomogeneous 2D Navier–Stokes Equations and Application to a Chemotaxis–Fluid System with Local Sensing	2
Non-conservative Solutions of the Euler-$$\alpha $$ Equations	2
On the Weak Solutions to the Multicomponent Reactive Flows Driven by Non-conservative Boundary Conditions	2
Global existence and optimal decay rates for a generic non--conservative compressible two--fluid model	2
Solitary Electrohydrodynamic Waves with Submerged Point Vortices	2
On Loops in Water Wave Branches and Monotonicity of Water Waves	2
The Global Solvability of the Non-conservative Viscous Compressible Two-Fluid Model with Capillarity Effects for Some Large Initial Data	2
The Estimate of Singular Set of Weak Solution to MHD Equations	2
A Kato-Type Criterion for the Inviscid Limit of the Compressible Navier–Stokes System	1
Vanishing Viscosity Limit for the Compressible Navier-Stokes Equations with Non-Linear Density Dependent Viscosities	1
The Zero-Mach Limit of Compressible Navier-Stokes Equations in Bounded Domains with Non-slip Boundary Condition	1
Local Existence of Solutions to the Non-Resistive 3D MHD Equations with Power-law Type	1
The Long-Wave Approximation for the Green–Naghdi System with the Weak Coriolis Effect	1
The Existence of Stratified Linearly Steady Two-Mode Water Waves with Stagnation Points	1
Global Existence and Weak-Strong Uniqueness for Chemotaxis Compressible Navier–Stokes Equations Modeling Vascular Network Formation	1
Gevrey-Class-3 Regularity of the Linearised Hyperbolic Prandtl System on a Strip	1
Global Well-Posedness and Asymptotic Behavior of Strong Solutions to an Initial-Boundary Value Problem of 3D Full Compressible MHD Equations	1
Compressible Navier–Stokes Equations with Potential Temperature Transport: Stability of the Strong Solution and Numerical Error Estimates	1
Regularity Criteria for Weak Solutions to the Navier–Stokes Equations in Terms of Spectral Projections of Vorticity and Velocity	1
Instability of a Square Eddy Flow and the Existence of Secondary Steady-State Flow	1
A Class of Fluid-Structure Interaction Problems with Analytical Solutions for the Validation of Numerical Methods	1
Convergence of the Fully Discrete Incremental Projection Scheme for Incompressible Flows	1
$$W^{2,p}$$-Estimates of the Stokes System with Traction Boundary Conditions	1
Long-Time Behavior of Global Weak Solutions for a Beris-Edwards Type Model of Nematic Liquid Crystals	1
Epsilon Regularity for the Navier–Stokes Equations via Weak-Strong Uniqueness	1
An Efficient Second-Order Algorithm Upon MAC Scheme for Nonlinear Incompressible Darcy–Brinkman–Forchheimer Model	1
Conjugate Points Along Kolmogorov Flows on the Torus	1
Locality of Vortex Stretching for the 3D Euler Equations	1
Existence of Local Solutions to a Free Boundary Problem for Incompressible Viscous Magnetohydrodynamics	1
Fast Rotating Non-homogeneous Fluids in Thin Domains and the Ekman Pumping Effect	1
The Validity of Decoupled Kadomtsev-Petviashvili/ Zakharov-Kuznetsov Equations from Multi-Dimensional Euler-Poisson System	1
Constrained nonstationary incompressible Oseen-Navier-Stokes system with leak and slip boundary conditions: existence and optimal control	1

The Optimal $${{\varvec{L}}^2}$$ Decay Rate of the Velocity for the General FENE Dumbbell Model	1
Nearly Toroidal, Periodic and Quasi-periodic Motions of Fluid Particles Driven by the Gavrilov Solutions of the Euler Equations	1
Periodic Capillary-Gravity Water Waves of Small Amplitude	1
Initial-Boundary Value Problems for One-Dimensional pth Power Viscous Reactive Gas with Density-Dependent Viscosity	1
The Cauchy Problem for a Non-conservative Compressible Two-Fluid Model with Far Field Vacuum in Three Dimensions	1
Time Evolution of the Navier–Stokes Flow in Far-Field	1
On the Support of Anomalous Dissipation Measures	1
A Thermal Fluid–Structure Interaction Problem: Modeling, Variational and Numerical Analysis	1
Injection of Fluid from a Slot into a Stream: Uniqueness	1
Data Assimilation to the Primitive Equations with $$L^p$$-$$L^q$$-based Maximal Regularity Approach	1
Interaction of Finitely-Strained Viscoelastic Multipolar Solids and Fluids by an Eulerian Approach	1
Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables	1
On the Interactions of Flocking Particles with the Stokes Flow in an Infinite Channel	1
Global Solutions and Asymptotic Behavior for the Three-dimensional Viscous Non-resistive MHD System with Some Large Perturbations	1
Stability of the Couette Flow for 2D Boussinesq Equations with Only Vertical Dissipation	1
Weak Solutions for a Dense Granular Model with Drucker-Prager Plasticity and Bagnold Viscosity Scaling	1
Approximation of Uncoupled Quasi-Static Thermoelasticity Solutions Based on Gaussians	1
On a Generalized System with Applications to Ideal Magnetohydrodynamics	1
Global Well-Posedness of Surface Waves for the Compressible Euler Equations with Damping	1
On Isolated Singularities for the Stationary Navier–Stokes System	1
The Soundproof Model of an Acoustic–internal Waves System with Low Stratification	1
Initial-Boundary Value Problems for the 2D MHD Equations with Partial Dissipation	1
Multidimensional Stability and Transverse Bifurcation of Hydraulic Shocks and Roll Waves in Open Channel Flow	1
Self-Similar Solution of the Generalized Riemann Problem for Two-Dimensional Isothermal Euler Equations	1
Remarks on the Stabilization of Large-Scale Growth in the 2D Kuramoto–Sivashinsky Equation	1
Feedback Stabilization of a Two-Fluid Surface Tension System Modeling the Motion of a Soap Bubble at Low Reynolds Number: The Two-Dimensional Case	1
Local Well-Posedness for Barotropic Compressible Fluid–Viscoelastic Shell Interactions	1
Energy Equality for the Compressible Primitive Equations with Vacuum	1
Global Existence and Vanishing Dispersion Limit of Strong/Classical Solutions to the One-dimensional Compressible Quantum Navier-Stokes Equations with Large Initial Data	1
Analytical Properties for a Stochastic Rotating Shallow Water Model Under Location Uncertainty	1
Liouville-Type Theorems for the Stationary Ideal Magnetohydrodynamics Equations in $$\textbf{R}^n$$	1
Hölder Regularity of Helicity for the Incompressible Flows	1
Large-Time Behavior of Solutions to an Inflow Problem for the Compressible Navier–Stokes–Korteweg Equations in the Half Space	1
On a Two-Component Shallow-Water Model with the Weak Coriolis and Equatorial Undercurrent Effects	1
Falling Drop in an Unbounded Liquid Reservoir: Steady-state Solutions	1